Info
Chaos, CNN, memristors and beyond [[electronic resource] ] : a festschrift for Leon Chua / / editors, Andrew Adamatzky, Guanrong Chen
| Chaos, CNN, memristors and beyond [[electronic resource] ] : a festschrift for Leon Chua / / editors, Andrew Adamatzky, Guanrong Chen |
| Pubbl/distr/stampa | Singapore ; ; London, : World Scientific, 2013 |
| Descrizione fisica | 1 online resource (562 p.) |
| Disciplina | 006.32 |
| Altri autori (Persone) |
AdamatzkyAndrew
ChenG (Guanrong) ChuaLeon O. <1936-> |
| Soggetto topico |
Neural networks (Computer science)
Memristors Chaotic behavior in systems |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-299-28131-1
981-4434-80-9 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; CONTENTS; Part I. Cellular Nonlinear Networks, Nonlinear Circuits and Cellular Automata; 1. Genealogy of Chua's Circuit Peter Kennedy; 1. Introduction; 2. History; 3. Five-element Chua's Circuit; 3.1. Discrete circuit realization; 3.2. Piecewise-linear Chua diode; 3.2.1. Op amp-based negative impedance converters; 3.2.2. Current-mode negative impedance converters; 3.2.3. Transistor-based negative impedance converter and diodes; 3.3. Cubic nonlinearity; 3.4. Asymmetric nonlinearity; 3.5. Inductor; 3.5.1. Gyrator-based inductor; 3.6. Integrated circuit realization
4. Four-element Chua's Circuit5. Three-element Chaotic Circuit; 6. Summary; References; 2. Impasse Points, Mutators, and Other Chua Creations Hyongsuk Kim; 1. Introduction; 2. Impasse Points; 3. Mutators; 3.1. Realization of mutators; 3.2. Experimental verification of mutators; 4. Other Chua Creations; Acknowledgment; References; 3. Chua's Lagrangian Circuit Elements Orla Feely; 1. Introduction; 2. Chua's Presentation of Lagrangian Circuit Elements; 3. Summary; References; 4. From CNN Dynamics to Cellular Wave Computers Tamas Roska; 1. Introduction 2. Using Cellular Dynamics and Nonlinear Dynamical Circuits for Computation - A Prehistory3. The Standard CNN (Cellular Neural/Nonlinear Network) as the Practically Feasible Prototype Solution and Related Stability Issues; 4. Inventing the Stored Programmable Spatial-temporal Computer: The CNN Universal Machine (CNN-UM) and the Cellular Wave Computer; 5. Making the First Silicon Visual Microprocessors and its Computational Infrastructure - Other Physical Implementations; 6. Biological Relevance and Bio-inspiration 7. Some Fundamental Theorems - More than PDE, Equivalence to Fully-connectedness, Analytic Theory of CA, Godel Incompleteness8. Prototype Spatial-temporal CNN Algorithms and Novel Applications; 9. Physical and Virtual Cellular Machines with Kilo- and Mega-processor Chips and Related Topographic Algorithms; 10. Conclusions and Major New Challenges; Acknowledgment; References; 5. Contributions of CNN to Bio-robotics and Brain Science Paolo Arena and Luca Patane; 1. Introduction; 2. CNN-based CPGs for Locomotion Control in Bio-robots; 2.1. Basis of locomotion 2.2. The CNN neuron model for CPG: a slow-fast controllable limit cycle2.3. CPG in a reaction-diffusion CNN structure; 2.4. CPG in amulti-template-CNN; 3. A Brain for the Body:A CNN-based Spatio-temporal Approach; 3.1. Control architecture; 3.1.1. Sensory block; 3.1.2. Basic behaviors; 3.1.3. Representation layer; 3.1.4. Preprocessing block; 3.1.5. Perceptual core; 3.1.6. Selection network; 3.1.7. Motivation layer and learning process; 3.2. Simulation results; 3.2.1. Learning phase; 3.2.2. Testing phase; 3.2.3. Experimental results; 4. A Note on Winnerless Competition in CNNs; 5. Conclusions Acknowledgement |
| Record Nr. | UNINA-9910465588903321 |
| Singapore ; ; London, : World Scientific, 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Chaos, CNN, memristors and beyond : a festschrift for Leon Chua / / editors, Andrew Adamatzky, University of the West of England, UK, Guanrong Chen, City University of Hong Kong, PR China
| Chaos, CNN, memristors and beyond : a festschrift for Leon Chua / / editors, Andrew Adamatzky, University of the West of England, UK, Guanrong Chen, City University of Hong Kong, PR China |
| Pubbl/distr/stampa | Singapore ; ; London, : World Scientific, 2013 |
| Descrizione fisica | 1 online resource (xii, 549 pages) : illustrations (some color) |
| Disciplina | 006.32 |
| Collana | Gale eBooks |
| Soggetto topico |
Neural networks (Computer science)
Memristors Chaotic behavior in systems |
| ISBN |
1-299-28131-1
981-4434-80-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; CONTENTS; Part I. Cellular Nonlinear Networks, Nonlinear Circuits and Cellular Automata; 1. Genealogy of Chua's Circuit Peter Kennedy; 1. Introduction; 2. History; 3. Five-element Chua's Circuit; 3.1. Discrete circuit realization; 3.2. Piecewise-linear Chua diode; 3.2.1. Op amp-based negative impedance converters; 3.2.2. Current-mode negative impedance converters; 3.2.3. Transistor-based negative impedance converter and diodes; 3.3. Cubic nonlinearity; 3.4. Asymmetric nonlinearity; 3.5. Inductor; 3.5.1. Gyrator-based inductor; 3.6. Integrated circuit realization
4. Four-element Chua's Circuit5. Three-element Chaotic Circuit; 6. Summary; References; 2. Impasse Points, Mutators, and Other Chua Creations Hyongsuk Kim; 1. Introduction; 2. Impasse Points; 3. Mutators; 3.1. Realization of mutators; 3.2. Experimental verification of mutators; 4. Other Chua Creations; Acknowledgment; References; 3. Chua's Lagrangian Circuit Elements Orla Feely; 1. Introduction; 2. Chua's Presentation of Lagrangian Circuit Elements; 3. Summary; References; 4. From CNN Dynamics to Cellular Wave Computers Tamas Roska; 1. Introduction 2. Using Cellular Dynamics and Nonlinear Dynamical Circuits for Computation - A Prehistory3. The Standard CNN (Cellular Neural/Nonlinear Network) as the Practically Feasible Prototype Solution and Related Stability Issues; 4. Inventing the Stored Programmable Spatial-temporal Computer: The CNN Universal Machine (CNN-UM) and the Cellular Wave Computer; 5. Making the First Silicon Visual Microprocessors and its Computational Infrastructure - Other Physical Implementations; 6. Biological Relevance and Bio-inspiration 7. Some Fundamental Theorems - More than PDE, Equivalence to Fully-connectedness, Analytic Theory of CA, Godel Incompleteness8. Prototype Spatial-temporal CNN Algorithms and Novel Applications; 9. Physical and Virtual Cellular Machines with Kilo- and Mega-processor Chips and Related Topographic Algorithms; 10. Conclusions and Major New Challenges; Acknowledgment; References; 5. Contributions of CNN to Bio-robotics and Brain Science Paolo Arena and Luca Patane; 1. Introduction; 2. CNN-based CPGs for Locomotion Control in Bio-robots; 2.1. Basis of locomotion 2.2. The CNN neuron model for CPG: a slow-fast controllable limit cycle2.3. CPG in a reaction-diffusion CNN structure; 2.4. CPG in amulti-template-CNN; 3. A Brain for the Body:A CNN-based Spatio-temporal Approach; 3.1. Control architecture; 3.1.1. Sensory block; 3.1.2. Basic behaviors; 3.1.3. Representation layer; 3.1.4. Preprocessing block; 3.1.5. Perceptual core; 3.1.6. Selection network; 3.1.7. Motivation layer and learning process; 3.2. Simulation results; 3.2.1. Learning phase; 3.2.2. Testing phase; 3.2.3. Experimental results; 4. A Note on Winnerless Competition in CNNs; 5. Conclusions Acknowledgement |
| Record Nr. | UNINA-9910792054103321 |
| Singapore ; ; London, : World Scientific, 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Chaos, CNN, memristors and beyond : a festschrift for Leon Chua / / editors, Andrew Adamatzky, University of the West of England, UK, Guanrong Chen, City University of Hong Kong, PR China
| Chaos, CNN, memristors and beyond : a festschrift for Leon Chua / / editors, Andrew Adamatzky, University of the West of England, UK, Guanrong Chen, City University of Hong Kong, PR China |
| Pubbl/distr/stampa | Singapore ; ; London, : World Scientific, 2013 |
| Descrizione fisica | 1 online resource (xii, 549 pages) : illustrations (some color) |
| Disciplina | 006.32 |
| Collana | Gale eBooks |
| Soggetto topico |
Neural networks (Computer science)
Memristors Chaotic behavior in systems |
| ISBN |
1-299-28131-1
981-4434-80-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; CONTENTS; Part I. Cellular Nonlinear Networks, Nonlinear Circuits and Cellular Automata; 1. Genealogy of Chua's Circuit Peter Kennedy; 1. Introduction; 2. History; 3. Five-element Chua's Circuit; 3.1. Discrete circuit realization; 3.2. Piecewise-linear Chua diode; 3.2.1. Op amp-based negative impedance converters; 3.2.2. Current-mode negative impedance converters; 3.2.3. Transistor-based negative impedance converter and diodes; 3.3. Cubic nonlinearity; 3.4. Asymmetric nonlinearity; 3.5. Inductor; 3.5.1. Gyrator-based inductor; 3.6. Integrated circuit realization
4. Four-element Chua's Circuit5. Three-element Chaotic Circuit; 6. Summary; References; 2. Impasse Points, Mutators, and Other Chua Creations Hyongsuk Kim; 1. Introduction; 2. Impasse Points; 3. Mutators; 3.1. Realization of mutators; 3.2. Experimental verification of mutators; 4. Other Chua Creations; Acknowledgment; References; 3. Chua's Lagrangian Circuit Elements Orla Feely; 1. Introduction; 2. Chua's Presentation of Lagrangian Circuit Elements; 3. Summary; References; 4. From CNN Dynamics to Cellular Wave Computers Tamas Roska; 1. Introduction 2. Using Cellular Dynamics and Nonlinear Dynamical Circuits for Computation - A Prehistory3. The Standard CNN (Cellular Neural/Nonlinear Network) as the Practically Feasible Prototype Solution and Related Stability Issues; 4. Inventing the Stored Programmable Spatial-temporal Computer: The CNN Universal Machine (CNN-UM) and the Cellular Wave Computer; 5. Making the First Silicon Visual Microprocessors and its Computational Infrastructure - Other Physical Implementations; 6. Biological Relevance and Bio-inspiration 7. Some Fundamental Theorems - More than PDE, Equivalence to Fully-connectedness, Analytic Theory of CA, Godel Incompleteness8. Prototype Spatial-temporal CNN Algorithms and Novel Applications; 9. Physical and Virtual Cellular Machines with Kilo- and Mega-processor Chips and Related Topographic Algorithms; 10. Conclusions and Major New Challenges; Acknowledgment; References; 5. Contributions of CNN to Bio-robotics and Brain Science Paolo Arena and Luca Patane; 1. Introduction; 2. CNN-based CPGs for Locomotion Control in Bio-robots; 2.1. Basis of locomotion 2.2. The CNN neuron model for CPG: a slow-fast controllable limit cycle2.3. CPG in a reaction-diffusion CNN structure; 2.4. CPG in amulti-template-CNN; 3. A Brain for the Body:A CNN-based Spatio-temporal Approach; 3.1. Control architecture; 3.1.1. Sensory block; 3.1.2. Basic behaviors; 3.1.3. Representation layer; 3.1.4. Preprocessing block; 3.1.5. Perceptual core; 3.1.6. Selection network; 3.1.7. Motivation layer and learning process; 3.2. Simulation results; 3.2.1. Learning phase; 3.2.2. Testing phase; 3.2.3. Experimental results; 4. A Note on Winnerless Competition in CNNs; 5. Conclusions Acknowledgement |
| Record Nr. | UNINA-9910811216403321 |
| Singapore ; ; London, : World Scientific, 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Chaotic systems with multistability and hidden attractors / / Xiong Wang, Nikolay V. Kuznetsov, Guanrong Chen, editors
| Chaotic systems with multistability and hidden attractors / / Xiong Wang, Nikolay V. Kuznetsov, Guanrong Chen, editors |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (661 pages) |
| Disciplina | 003.857 |
| Collana | Emergence, complexity and computation |
| Soggetto topico |
Chaotic behavior in systems
Caos (Teoria de sistemes) Chaos Computational complexity |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-030-75821-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Contents -- Part I -- Introduction -- 1 Classical Chaotic Systems -- 1.1 Lorenz System -- 1.2 Rössler System -- 1.3 Chua's Circuit -- 1.4 Chen System -- 2 Šil'nikov Theory -- 3 Chaos beyond Šil'nikov -- 4 Hidden Attractors and Multi-Stability -- 4.1 Hidden Attractors -- 4.2 Multi-Stability -- 5 Organization of the Book -- 5.1 Classical Šil'nikov Chaos -- 5.2 Chaotic Systems with Various Equilibria -- 5.3 Chaotic Systems with Various Components -- 5.4 Multi-Stability in Various Systems with Different Characteristics -- 5.5 Various Theoretical Advances and Potential Applications -- 5.6 Discussions and Perspectives -- References -- Šil'nikov Theorem -- 1 Dynamics in the Neighborhood of a Homoclinic Loop to a Saddle-Focus -- 2 Dynamics in the Neighborhood of a Heteroclinic Loop of the Simple Type -- 3 Simplest Form of the Šil'nikov Theorem -- References -- Part II -- Chaotic Systems with Stable Equilibria -- 1 Introduction -- 2 Motivation -- 3 First Example on Chaos with One Stable Equilibrium -- 4 More Examples of Chaotic Systems with One Stable Equilibrium -- 4.1 Wei System -- 4.2 Multiple-delayed Wang-Chen System -- 4.3 Lao System -- 4.4 Kingni System -- 4.5 From an Infinite Number of Equilibria to Only One Stable Equilibrium -- 5 Systematic Search for Chaotic Systems with One Stable Equilibrium -- 5.1 Jerk System -- 5.2 17 Simple Chaotic Flows -- 6 Chaos with Stable Equilibria -- 6.1 Yang-Chen System -- 6.2 Yang-Wei System -- 6.3 Delayed Feedback of Yang-Wei System -- 6.4 More Examples -- References -- Chaotic Systems Without Equilibria -- 1 Introduction -- 2 Examples That Have Been Discovered -- 2.1 Sprott A System -- 2.2 Wei System -- 2.3 Wang-Chen System -- 2.4 Maaita System -- 2.5 Akgul System -- 2.6 Pham System -- 2.7 Wang System -- 3 Systematic Approach for Finding Chaotic Systems Without Equilibria.
4 Multi-scroll Attractors in Chaotic Systems Without Equilibria -- 4.1 Jafari System -- 4.2 Hu System -- References -- Chaotic Systems with Curves of Equilibria -- 1 Introduction -- 2 Constructing a Chaotic System with Infinite Equilibria -- 3 Chaotic Systems with Lines of Equilibria -- 3.1 LE System and a General Equation -- 3.2 SL System -- 3.3 AB System -- 3.4 STR System -- 3.5 IE System -- 3.6 CE System -- 3.7 Petrzela-Gotthans System -- 4 Chaotic Systems with Closed-Curves of Equilibria -- 4.1 Circular Curve of Equilibria -- 4.2 Square Curve of Equilibria -- 4.3 Ellipse Curves of Equilibria -- 4.4 Rectangle Shape -- 4.5 Rounded-Square Curves of Equilibria -- 4.6 Cloud Curves of equilibria -- 5 Open Curves of Equilibria -- References -- Chaotic Systems with Surfaces of Equilibria -- 1 Introduction -- 2 Systematic Method for Finding Chaotic Systems with Surfaces of Equilibria -- 3 Twelve Cases: ES Systems -- References -- Chaotic Systems with Any Number and Various Types of Equilibria -- 1 Introduction -- 2 Chaotic Systems with Any Desired Number of Equilibria -- 2.1 A Modified Sprott E System with One Stable Equilibrium -- 2.2 Chaotic System with Two Equilibria -- 2.3 Chaotic System with Three Equilibria -- 2.4 Constructing a Chaotic System with Any Number of Equilibria -- 3 Chaotic Systems with Any Type of Equilibria -- 3.1 System with No Equilibria -- 3.2 Hyperbolic Examples -- 3.3 Non-Hyperbolic Systems -- 4 Conclusions -- References -- Part III -- Hyperchaotic Systems with Hidden Attractors -- 1 Introduction -- 2 Hyperchaotic Systems with No Equilibria -- 2.1 Example 1 -- 2.2 Example 2 -- 3 Hyperchaotic Systems with a Limited Number of Equilibria -- 3.1 Hyperchaotic System with One Equilibrium -- 3.2 Hyperchaotic System with Two Equilibria -- 3.3 Hyperchaotic System with Three Equilibria. 3.4 Hyperchaotic Systems with Limited Number of Equilibria -- 4 Hyperchaotic Systems with Lines or Curves of Equilibria -- 4.1 Example 1 -- 4.2 Example 2 -- 5 Hyperchaotic Systems with Plane or Surface of Equilibria -- 5.1 Example 1 -- 5.2 Example 2 -- 6 Coexistence of Different Attractors -- 6.1 Coexistence of Chaotic Attractors with No Equilibria -- 6.2 Coexistence of Attractors with a Limited Number of Equilibria -- 6.3 Coexistence of Attractors with Lines or Curves of Equilibria -- 6.4 Coexistence of Attractors with a Plane of Equilibria -- References -- Fractional-Order Chaotic Systems with Hidden Attractors -- 1 Introduction -- 2 Classical Fractional-Order Chaotic Systems -- 2.1 Fractional-order Chua's Circuit -- 2.2 Fractional-Order Lorenz System -- 2.3 Fractional-Order Chen System -- 2.4 Fractional-order Lü System -- 2.5 Fractional-Order Rössler System -- 2.6 Fractional-Order Liu System -- 2.7 Fractional-Order System with Multi-Scroll Attractors -- 3 Fractional-Order Chaotic System with a Limited Number of Equilibria -- 3.1 3D Examples -- 3.2 4D Examples -- 4 Fractional-Order Systems with an Infinite Number of Equilibria -- 5 Fractional-Order Systems with Stable Equilibria -- 5.1 Lorenz-like system with Two Stable Node-foci -- 5.2 A Chaotic System with One Stable Equilibrium -- 6 Fractional-Order Systems without Equilibria -- 6.1 3D Examples -- 6.2 4D Examples -- References -- Memristive Chaotic Systems with Hidden Attractors -- 1 Introduction -- 2 Memristive Chua-Like Circuits -- 2.1 Memristive Chua's Circuit -- 2.2 Modified Memristive Chua's Circuit -- 2.3 Memristive Self-oscillating Circuit -- 3 Memristive Hyperjerk Circuit -- 4 Hidden Attractors in Memristive Hyperchaotic Systems -- 4.1 4D Memristive Hyperchaotic System -- 4.2 5D Memristive Hyperchaotic Systems -- 5 Hidden Multi-scroll/Multi-wing Attractors in Memristive Systems. 6 Hidden Attractors in Fractional-Order Memristive Chaotic Systems -- 6.1 4D Example for Hidden Chaos -- 6.2 4D Example for Hidden Hyperchaos -- 7 Applications of Memristive Chaotic Systems -- 8 Multi-stability and Extreme Multi-stability of Memristive Chaotic Systems -- 8.1 Memristive Chaotic Systems with Self-excited Multi-stability -- 8.2 Memristive Chaotic Systems with Self-excited Extreme Multi-stability -- 8.3 Memristive Chaotic Systems with Hidden Multi-stability -- 8.4 Memristive Chaotic Systems with Hidden Extreme Multi-stability -- 8.5 Chaotic Systems with Mega-stability -- References -- Chaotic Jerk Systems with Hidden Attractors -- 1 Introduction -- 2 Simple Jerk Function that Generates Chaos -- 2.1 Simplest Jerk Function for Generating Chaos -- 2.2 Newtonian Jerky Dynamics -- 2.3 Jerk Function with Cubic Nonlinearities -- 2.4 Piecewise-Linear Jerk Functions -- 2.5 Jerky Dynamics Accompanied with Many Driving Functions -- 2.6 Multi-scroll Chaotic Jerk System -- 2.7 Other Examples -- 3 Systematic Method for Constructing a Simple 3D Jerk System -- 4 Chaotic Hyperjerk Systems -- 4.1 Example 1 -- 4.2 Example 2 -- 5 Coexisting Attractors in Jerk Systems -- 5.1 Example 1 -- 5.2 Example 2 -- 5.3 Example 3 -- 6 Chaotic Jerk Systems with Hidden Attractors -- 6.1 Example 1 -- 6.2 Example 2 -- 6.3 Example 3 -- References -- Part IV -- Multi-Stability in Symmetric Systems -- 1 Introduction -- 2 Broken Butterfly -- 3 Symmetric Bifurcations -- 4 Coexisting Symmetric and Symmetric Pairs of Attractors -- 5 Coexisting Chaos and Torus -- 6 Attractor Merging -- 7 Other Regimes of Coexisting Symmetric Attractors -- 8 Conclusions -- References -- Multi-Stability in Asymmetric Systems -- 1 Introduction -- 2 Coexisting Attractors in Rössler System -- 3 Introducing Additional Feedback for Breaking the Symmetry -- 4 Dimension Expansion for Breaking the Symmetry. 5 A Bridge Between Symmetry and Asymmetry -- 6 Conclusion -- References -- Multi-Stability in Conditional Symmetric Systems -- 1 Introduction -- 2 Conception of Conditional Symmetry -- 3 Constructing Conditional Symmetry from Single Offset Boosting -- 4 Constructing Conditional Symmetry from Multiple Offset Boosting -- 5 Constructing Conditional Symmetric System from Revised Polarity Balance -- 6 Discussions and Conclusions -- References -- Multi-Stability in Self-Reproducing Systems -- 1 Introduction -- 2 Concept of Self-Reproducing System -- 3 Self-Reproducing Chaotic Systems with 1D Infinitely Many Attractors -- 4 Self-Reproducing Chaotic Systems with 2D Lattices of Coexisting Attractors -- 5 Self-Reproducing Chaotic Systems with 3D Lattices of Coexisting Attractors -- 6 Discussions and Conclusions -- References -- Multi-Stability Detection in Chaotic Systems -- 1 Introduction -- 2 Multistability Identification by Amplitude Control -- 3 Multi-Stability Identification by Offset Boosting -- 4 Independent Amplitude Controller and Offset Booster -- 4.1 Constructing Independent Amplitude Controller -- 4.2 Finding Independent Offset Booster -- 5 Conclusions -- References -- Part V -- Complex Dynamics and Hidden Attractors in Delayed Impulsive Systems -- 1 Introduction -- 2 Preliminaries -- 3 FD-Reducible Time Delay Systems -- 4 A Time-Delay Impulsive System: Preliminary Results -- 5 Poincaré Map of a Time-Delay Impulsive System -- 6 Time-Delay Impulsive Model of Testosterone Regulation -- 6.1 Bifurcation Analysis: Multi-Stability and Quasi-Periodicity -- 6.2 Bifurcation Analysis: Crater Bifurcation Scenario and Hidden Attractors -- 6.3 Bifurcation Analysis: Quasi-Periodic Period-Doubling -- 7 Conclusions -- References -- Unconventional Algorithms and Hidden Chaotic Attractors -- 1 Introduction. 2 Unconventional Algorithms-Motivation and Brief Introduction. |
| Record Nr. | UNISA-996466560203316 |
| Cham, Switzerland : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Chaotic systems with multistability and hidden attractors / / Xiong Wang, Nikolay V. Kuznetsov, Guanrong Chen, editors
| Chaotic systems with multistability and hidden attractors / / Xiong Wang, Nikolay V. Kuznetsov, Guanrong Chen, editors |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (661 pages) |
| Disciplina | 003.857 |
| Collana | Emergence, complexity and computation |
| Soggetto topico |
Chaotic behavior in systems
Caos (Teoria de sistemes) Chaos Computational complexity |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-030-75821-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Contents -- Part I -- Introduction -- 1 Classical Chaotic Systems -- 1.1 Lorenz System -- 1.2 Rössler System -- 1.3 Chua's Circuit -- 1.4 Chen System -- 2 Šil'nikov Theory -- 3 Chaos beyond Šil'nikov -- 4 Hidden Attractors and Multi-Stability -- 4.1 Hidden Attractors -- 4.2 Multi-Stability -- 5 Organization of the Book -- 5.1 Classical Šil'nikov Chaos -- 5.2 Chaotic Systems with Various Equilibria -- 5.3 Chaotic Systems with Various Components -- 5.4 Multi-Stability in Various Systems with Different Characteristics -- 5.5 Various Theoretical Advances and Potential Applications -- 5.6 Discussions and Perspectives -- References -- Šil'nikov Theorem -- 1 Dynamics in the Neighborhood of a Homoclinic Loop to a Saddle-Focus -- 2 Dynamics in the Neighborhood of a Heteroclinic Loop of the Simple Type -- 3 Simplest Form of the Šil'nikov Theorem -- References -- Part II -- Chaotic Systems with Stable Equilibria -- 1 Introduction -- 2 Motivation -- 3 First Example on Chaos with One Stable Equilibrium -- 4 More Examples of Chaotic Systems with One Stable Equilibrium -- 4.1 Wei System -- 4.2 Multiple-delayed Wang-Chen System -- 4.3 Lao System -- 4.4 Kingni System -- 4.5 From an Infinite Number of Equilibria to Only One Stable Equilibrium -- 5 Systematic Search for Chaotic Systems with One Stable Equilibrium -- 5.1 Jerk System -- 5.2 17 Simple Chaotic Flows -- 6 Chaos with Stable Equilibria -- 6.1 Yang-Chen System -- 6.2 Yang-Wei System -- 6.3 Delayed Feedback of Yang-Wei System -- 6.4 More Examples -- References -- Chaotic Systems Without Equilibria -- 1 Introduction -- 2 Examples That Have Been Discovered -- 2.1 Sprott A System -- 2.2 Wei System -- 2.3 Wang-Chen System -- 2.4 Maaita System -- 2.5 Akgul System -- 2.6 Pham System -- 2.7 Wang System -- 3 Systematic Approach for Finding Chaotic Systems Without Equilibria.
4 Multi-scroll Attractors in Chaotic Systems Without Equilibria -- 4.1 Jafari System -- 4.2 Hu System -- References -- Chaotic Systems with Curves of Equilibria -- 1 Introduction -- 2 Constructing a Chaotic System with Infinite Equilibria -- 3 Chaotic Systems with Lines of Equilibria -- 3.1 LE System and a General Equation -- 3.2 SL System -- 3.3 AB System -- 3.4 STR System -- 3.5 IE System -- 3.6 CE System -- 3.7 Petrzela-Gotthans System -- 4 Chaotic Systems with Closed-Curves of Equilibria -- 4.1 Circular Curve of Equilibria -- 4.2 Square Curve of Equilibria -- 4.3 Ellipse Curves of Equilibria -- 4.4 Rectangle Shape -- 4.5 Rounded-Square Curves of Equilibria -- 4.6 Cloud Curves of equilibria -- 5 Open Curves of Equilibria -- References -- Chaotic Systems with Surfaces of Equilibria -- 1 Introduction -- 2 Systematic Method for Finding Chaotic Systems with Surfaces of Equilibria -- 3 Twelve Cases: ES Systems -- References -- Chaotic Systems with Any Number and Various Types of Equilibria -- 1 Introduction -- 2 Chaotic Systems with Any Desired Number of Equilibria -- 2.1 A Modified Sprott E System with One Stable Equilibrium -- 2.2 Chaotic System with Two Equilibria -- 2.3 Chaotic System with Three Equilibria -- 2.4 Constructing a Chaotic System with Any Number of Equilibria -- 3 Chaotic Systems with Any Type of Equilibria -- 3.1 System with No Equilibria -- 3.2 Hyperbolic Examples -- 3.3 Non-Hyperbolic Systems -- 4 Conclusions -- References -- Part III -- Hyperchaotic Systems with Hidden Attractors -- 1 Introduction -- 2 Hyperchaotic Systems with No Equilibria -- 2.1 Example 1 -- 2.2 Example 2 -- 3 Hyperchaotic Systems with a Limited Number of Equilibria -- 3.1 Hyperchaotic System with One Equilibrium -- 3.2 Hyperchaotic System with Two Equilibria -- 3.3 Hyperchaotic System with Three Equilibria. 3.4 Hyperchaotic Systems with Limited Number of Equilibria -- 4 Hyperchaotic Systems with Lines or Curves of Equilibria -- 4.1 Example 1 -- 4.2 Example 2 -- 5 Hyperchaotic Systems with Plane or Surface of Equilibria -- 5.1 Example 1 -- 5.2 Example 2 -- 6 Coexistence of Different Attractors -- 6.1 Coexistence of Chaotic Attractors with No Equilibria -- 6.2 Coexistence of Attractors with a Limited Number of Equilibria -- 6.3 Coexistence of Attractors with Lines or Curves of Equilibria -- 6.4 Coexistence of Attractors with a Plane of Equilibria -- References -- Fractional-Order Chaotic Systems with Hidden Attractors -- 1 Introduction -- 2 Classical Fractional-Order Chaotic Systems -- 2.1 Fractional-order Chua's Circuit -- 2.2 Fractional-Order Lorenz System -- 2.3 Fractional-Order Chen System -- 2.4 Fractional-order Lü System -- 2.5 Fractional-Order Rössler System -- 2.6 Fractional-Order Liu System -- 2.7 Fractional-Order System with Multi-Scroll Attractors -- 3 Fractional-Order Chaotic System with a Limited Number of Equilibria -- 3.1 3D Examples -- 3.2 4D Examples -- 4 Fractional-Order Systems with an Infinite Number of Equilibria -- 5 Fractional-Order Systems with Stable Equilibria -- 5.1 Lorenz-like system with Two Stable Node-foci -- 5.2 A Chaotic System with One Stable Equilibrium -- 6 Fractional-Order Systems without Equilibria -- 6.1 3D Examples -- 6.2 4D Examples -- References -- Memristive Chaotic Systems with Hidden Attractors -- 1 Introduction -- 2 Memristive Chua-Like Circuits -- 2.1 Memristive Chua's Circuit -- 2.2 Modified Memristive Chua's Circuit -- 2.3 Memristive Self-oscillating Circuit -- 3 Memristive Hyperjerk Circuit -- 4 Hidden Attractors in Memristive Hyperchaotic Systems -- 4.1 4D Memristive Hyperchaotic System -- 4.2 5D Memristive Hyperchaotic Systems -- 5 Hidden Multi-scroll/Multi-wing Attractors in Memristive Systems. 6 Hidden Attractors in Fractional-Order Memristive Chaotic Systems -- 6.1 4D Example for Hidden Chaos -- 6.2 4D Example for Hidden Hyperchaos -- 7 Applications of Memristive Chaotic Systems -- 8 Multi-stability and Extreme Multi-stability of Memristive Chaotic Systems -- 8.1 Memristive Chaotic Systems with Self-excited Multi-stability -- 8.2 Memristive Chaotic Systems with Self-excited Extreme Multi-stability -- 8.3 Memristive Chaotic Systems with Hidden Multi-stability -- 8.4 Memristive Chaotic Systems with Hidden Extreme Multi-stability -- 8.5 Chaotic Systems with Mega-stability -- References -- Chaotic Jerk Systems with Hidden Attractors -- 1 Introduction -- 2 Simple Jerk Function that Generates Chaos -- 2.1 Simplest Jerk Function for Generating Chaos -- 2.2 Newtonian Jerky Dynamics -- 2.3 Jerk Function with Cubic Nonlinearities -- 2.4 Piecewise-Linear Jerk Functions -- 2.5 Jerky Dynamics Accompanied with Many Driving Functions -- 2.6 Multi-scroll Chaotic Jerk System -- 2.7 Other Examples -- 3 Systematic Method for Constructing a Simple 3D Jerk System -- 4 Chaotic Hyperjerk Systems -- 4.1 Example 1 -- 4.2 Example 2 -- 5 Coexisting Attractors in Jerk Systems -- 5.1 Example 1 -- 5.2 Example 2 -- 5.3 Example 3 -- 6 Chaotic Jerk Systems with Hidden Attractors -- 6.1 Example 1 -- 6.2 Example 2 -- 6.3 Example 3 -- References -- Part IV -- Multi-Stability in Symmetric Systems -- 1 Introduction -- 2 Broken Butterfly -- 3 Symmetric Bifurcations -- 4 Coexisting Symmetric and Symmetric Pairs of Attractors -- 5 Coexisting Chaos and Torus -- 6 Attractor Merging -- 7 Other Regimes of Coexisting Symmetric Attractors -- 8 Conclusions -- References -- Multi-Stability in Asymmetric Systems -- 1 Introduction -- 2 Coexisting Attractors in Rössler System -- 3 Introducing Additional Feedback for Breaking the Symmetry -- 4 Dimension Expansion for Breaking the Symmetry. 5 A Bridge Between Symmetry and Asymmetry -- 6 Conclusion -- References -- Multi-Stability in Conditional Symmetric Systems -- 1 Introduction -- 2 Conception of Conditional Symmetry -- 3 Constructing Conditional Symmetry from Single Offset Boosting -- 4 Constructing Conditional Symmetry from Multiple Offset Boosting -- 5 Constructing Conditional Symmetric System from Revised Polarity Balance -- 6 Discussions and Conclusions -- References -- Multi-Stability in Self-Reproducing Systems -- 1 Introduction -- 2 Concept of Self-Reproducing System -- 3 Self-Reproducing Chaotic Systems with 1D Infinitely Many Attractors -- 4 Self-Reproducing Chaotic Systems with 2D Lattices of Coexisting Attractors -- 5 Self-Reproducing Chaotic Systems with 3D Lattices of Coexisting Attractors -- 6 Discussions and Conclusions -- References -- Multi-Stability Detection in Chaotic Systems -- 1 Introduction -- 2 Multistability Identification by Amplitude Control -- 3 Multi-Stability Identification by Offset Boosting -- 4 Independent Amplitude Controller and Offset Booster -- 4.1 Constructing Independent Amplitude Controller -- 4.2 Finding Independent Offset Booster -- 5 Conclusions -- References -- Part V -- Complex Dynamics and Hidden Attractors in Delayed Impulsive Systems -- 1 Introduction -- 2 Preliminaries -- 3 FD-Reducible Time Delay Systems -- 4 A Time-Delay Impulsive System: Preliminary Results -- 5 Poincaré Map of a Time-Delay Impulsive System -- 6 Time-Delay Impulsive Model of Testosterone Regulation -- 6.1 Bifurcation Analysis: Multi-Stability and Quasi-Periodicity -- 6.2 Bifurcation Analysis: Crater Bifurcation Scenario and Hidden Attractors -- 6.3 Bifurcation Analysis: Quasi-Periodic Period-Doubling -- 7 Conclusions -- References -- Unconventional Algorithms and Hidden Chaotic Attractors -- 1 Introduction. 2 Unconventional Algorithms-Motivation and Brief Introduction. |
| Record Nr. | UNINA-9910512309303321 |
| Cham, Switzerland : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Propagation dynamics on complex networks : models, methods and stability analysis / / Xinchu Fu, Michael Small, Guanrong Chen
| Propagation dynamics on complex networks : models, methods and stability analysis / / Xinchu Fu, Michael Small, Guanrong Chen |
| Autore | Fu Xinchu |
| Pubbl/distr/stampa | Chichester, West Sussex : , : Wiley, , 2014 |
| Descrizione fisica | 1 online resource (330 p.) |
| Disciplina | 614.401/5118 |
| Altri autori (Persone) |
SmallMichael (Professor)
ChenG (Guanrong) |
| Soggetto topico |
Epidemiology - Mathematical models
Epidemiology - Methodology Biomathematics |
| ISBN |
1-118-76281-9
1-118-76278-9 1-118-76280-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover; Title Page; Copyright; Contents; Preface; Summary; Chapter 1 Introduction; 1.1 Motivation and background; 1.2 A brief history of mathematical epidemiology; 1.2.1 Compartmental modeling; 1.2.2 Epidemic modeling on complex networks; 1.3 Organization of the book; References; Chapter 2 Various epidemic models on complex networks; 2.1 Multiple stage models; 2.1.1 Multiple susceptible individuals; 2.1.2 Multiple infected individuals; 2.1.3 Multiple-staged infected individuals; 2.2 Staged progression models; 2.2.1 Simple-staged progression model
2.2.2 Staged progression model on homogenous networks2.2.3 Staged progression model on heterogenous networks; 2.2.4 Staged progression model with birth and death; 2.2.5 Staged progression model with birth and death on homogenous networks; 2.2.6 Staged progression model with birth and death on heterogenous networks; 2.3 Stochastic SIS model; 2.3.1 A general concept: Epidemic spreading efficiency; 2.4 Models with population mobility; 2.4.1 Epidemic spreading without mobility of individuals; 2.4.2 Spreading of epidemic diseases among different cities 2.4.3 Epidemic spreading within and between cities2.5 Models in meta-populations; 2.5.1 Model formulation; 2.6 Models with effective contacts; 2.6.1 Epidemics with effectively uniform contact; 2.6.2 Epidemics with effective contact in homogenous and heterogenous networks; 2.7 Models with two distinct routes; 2.8 Models with competing strains; 2.8.1 SIS model with competing strains; 2.8.2 Remarks and discussions; 2.9 Models with competing strains and saturated infectivity; 2.9.1 SIS model with mutation mechanism; 2.9.2 SIS model with super-infection mechanism 2.10 Models with birth and death of nodes and links2.11 Models on weighted networks; 2.11.1 Model with birth and death and adaptive weights; 2.12 Models on directed networks; 2.13 Models on colored networks; 2.13.1 SIS epidemic models on colored networks; 2.13.2 Microscopic Markov-chain analysis; 2.14 Discrete epidemic models; 2.14.1 Discrete SIS model with nonlinear contagion scheme; 2.14.2 Discrete-time epidemic model in heterogenous networks; 2.14.3 A generalized model; References; Chapter 3 Epidemic threshold analysis; 3.1 Threshold analysis by the direct method 3.3.4 Threshold analysis for SIS model with super-infection |
| Record Nr. | UNINA-9910138971903321 |
Fu Xinchu
|
||
| Chichester, West Sussex : , : Wiley, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Propagation dynamics on complex networks : models, methods and stability analysis / / Xinchu Fu, Michael Small, Guanrong Chen
| Propagation dynamics on complex networks : models, methods and stability analysis / / Xinchu Fu, Michael Small, Guanrong Chen |
| Autore | Fu Xinchu |
| Pubbl/distr/stampa | Chichester, West Sussex : , : Wiley, , 2014 |
| Descrizione fisica | 1 online resource (330 p.) |
| Disciplina | 614.401/5118 |
| Altri autori (Persone) |
SmallMichael (Professor)
ChenG (Guanrong) |
| Soggetto topico |
Epidemiology - Mathematical models
Epidemiology - Methodology Biomathematics |
| ISBN |
1-118-76281-9
1-118-76278-9 1-118-76280-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover; Title Page; Copyright; Contents; Preface; Summary; Chapter 1 Introduction; 1.1 Motivation and background; 1.2 A brief history of mathematical epidemiology; 1.2.1 Compartmental modeling; 1.2.2 Epidemic modeling on complex networks; 1.3 Organization of the book; References; Chapter 2 Various epidemic models on complex networks; 2.1 Multiple stage models; 2.1.1 Multiple susceptible individuals; 2.1.2 Multiple infected individuals; 2.1.3 Multiple-staged infected individuals; 2.2 Staged progression models; 2.2.1 Simple-staged progression model
2.2.2 Staged progression model on homogenous networks2.2.3 Staged progression model on heterogenous networks; 2.2.4 Staged progression model with birth and death; 2.2.5 Staged progression model with birth and death on homogenous networks; 2.2.6 Staged progression model with birth and death on heterogenous networks; 2.3 Stochastic SIS model; 2.3.1 A general concept: Epidemic spreading efficiency; 2.4 Models with population mobility; 2.4.1 Epidemic spreading without mobility of individuals; 2.4.2 Spreading of epidemic diseases among different cities 2.4.3 Epidemic spreading within and between cities2.5 Models in meta-populations; 2.5.1 Model formulation; 2.6 Models with effective contacts; 2.6.1 Epidemics with effectively uniform contact; 2.6.2 Epidemics with effective contact in homogenous and heterogenous networks; 2.7 Models with two distinct routes; 2.8 Models with competing strains; 2.8.1 SIS model with competing strains; 2.8.2 Remarks and discussions; 2.9 Models with competing strains and saturated infectivity; 2.9.1 SIS model with mutation mechanism; 2.9.2 SIS model with super-infection mechanism 2.10 Models with birth and death of nodes and links2.11 Models on weighted networks; 2.11.1 Model with birth and death and adaptive weights; 2.12 Models on directed networks; 2.13 Models on colored networks; 2.13.1 SIS epidemic models on colored networks; 2.13.2 Microscopic Markov-chain analysis; 2.14 Discrete epidemic models; 2.14.1 Discrete SIS model with nonlinear contagion scheme; 2.14.2 Discrete-time epidemic model in heterogenous networks; 2.14.3 A generalized model; References; Chapter 3 Epidemic threshold analysis; 3.1 Threshold analysis by the direct method 3.3.4 Threshold analysis for SIS model with super-infection |
| Record Nr. | UNINA-9910807969303321 |
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Fu Xinchu
|
||
| Chichester, West Sussex : , : Wiley, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||