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Chaotic systems [[electronic resource] ] : theory and applications / / editors, Christos H. Skiadas, Ioannis Dimotikalis
Chaotic systems [[electronic resource] ] : theory and applications / / editors, Christos H. Skiadas, Ioannis Dimotikalis
Pubbl/distr/stampa Singapore ; ; Hackensack, N.J., : World Scientific, c2010
Descrizione fisica 1 online resource (408 p.)
Disciplina 003.857
Altri autori (Persone) SkiadasChristos H
DimotikalisIoannis
Soggetto topico Chaotic behavior in systems
Mathematical models
ISBN 1-282-76363-6
9786612763632
981-4299-72-3
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Preface; Honorary Committee and International Scientific Committee; Keynote Talks; Contents; The Influence of Machine Saturation on Bifurcation and Chaos in Multimachine Power Systems Majdi M. Alomari and Jian Cue Zhu; Chaos in Multiplicative Systems Dorota Aniszewska and Marek Rybaczuk; Deterministic Chaos Machine: Experimental vs. Numerical Investigations Jan Awrejcewicz and Crzegorz Kudra; Some Issues and Results on the EnKF and Particle Filters for Meteorological Models Christophe Baehr and Olivier Pannekoucke
Local and Global Lyapunov Exponents in a Discrete Mass Waterwheel David Becerra Alonso and Valery Tereshko Complex Dynamics in an Asset Pricing Model with Updating Wealth Serena Brianzoni, Cristiana Mammana, and Elisabetta Michetti; Chaotic Mixing in the System Earth: Mixing Granitic and Basaltic Liquids Cristina De Campos, Werner Ertel-Ingrisch, Diego Perugini, Donald B. Dingwell, and Ciampero Poli; Multiple Equilibria and Endogenous Cycles in a Non-Linear Harrodian Growth Model Pasquale Commendatore, Elisabetta Michetti, and Antonio Pinto
Hick Samuelson Keynes Dynamic Economic Model with Discrete Time and Consumer Sentiment Loretti I. Dobrescu, Mihaela Neamtu, and Dumitru Opri On the Entropy Flows to Disorder C. T. J. Dodson; Linear Communication Channel Based on Chaos Synchronization Victor Grigoras and Carmen Grigoras; Maxwell-Bloch Equations as Predator-Prey System A. S. Hacinliyan, O. O. Aybar, I. KUsbeyzi, I. Temizer, E. E. Akkaya; Identifying Chaotic and Quasiperiodic Time-Series Candidates Efficient Nonlinear Projective Noise Reduction Nada Jevtic and Jeffrey S. Schweitzer
Chaos from the Observer's Mathematics Point of View Dmitriy Khots and Boris Khots New Models of Nonlinear Oscillations Generators Alexander A. Kolesnikov; Nonlinear System's Synthesis - The Central Problem of Modern Science and Technology: Synergetics Conception. Part II: Strategies of Synergetics Control Anatoly A. Kolesnikov; Synergetic Approach to Traditional Control Laws Multi-Machine Power System Modification Anatoly A. Kolesnikov and Andrew A. Kuzmenko
Dynamic Stability Loss of Closed Circled Cylindrical Shells Estimation Using Wavelets V. A. Krysko, J. Awrejcewicz, M. Zhigalov, V. Soldatov, E. S. Kuznetsova, and S. MitskevichThe Application of Multivariate Analysis Tools for Non-Invasive Performance Analysis of Atmospheric Pressure Plasma V. J. Law, J. Tynan, G. Byrne, D. P. Dowling, and S. Daniels; Chaos Communication: An Overview of Exact, Optimum and Approximate Results Using Statistical Theory Anthony J. Lawrance; Dynamics of a Bouncing Ball Shiuan-Ni Liang and Boon Leong Lan
Symmetry-Break in a Minimal Lorenz-Like System Valerio Lucarini and Klaus Fraedrich
Record Nr. UNINA-9910816637303321
Singapore ; ; Hackensack, N.J., : World Scientific, c2010
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
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
Opac: Controlla la disponibilità qui
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
Opac: Controlla la disponibilità qui
Chaotic, Fractional, and Complex Dynamics: New Insights and Perspectives [[electronic resource] /] / edited by Mark Edelman, Elbert E. N. Macau, Miguel A. F. Sanjuan
Chaotic, Fractional, and Complex Dynamics: New Insights and Perspectives [[electronic resource] /] / edited by Mark Edelman, Elbert E. N. Macau, Miguel A. F. Sanjuan
Edizione [1st ed. 2018.]
Pubbl/distr/stampa Cham : , : Springer International Publishing : , : Imprint : Springer, , 2018
Descrizione fisica 1 online resource (IX, 315 p. 118 illus., 76 illus. in color.)
Disciplina 003.857
Collana Understanding Complex Systems
Soggetto topico Statistical physics
Vibration
Dynamical systems
Dynamics
Computational complexity
Applications of Nonlinear Dynamics and Chaos Theory
Vibration, Dynamical Systems, Control
Statistical Physics and Dynamical Systems
Complexity
ISBN 3-319-68109-5
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto preliminary: 1. Lev Ostrovsky: Dynamics of particles and bubbles under the action of acoustic radiation force -- 2. Tomasz Kapitaniak:Synchronous states in the network of Kuramoto systems with excitation -- 3. Jose Antonio Tenreiro Machado -- 4. Mark Eldelman: Universality in systems with power-law memory and fractional dynamics -- 5. Miguel A. F. Sanjuan: Basin Entropy and the uncertainty in the chaotic scattering of cold atoms -- 6. Albert Luo -- 7. Christian Bick -- 8. Jason Gallas -- 9. Jose Mario Martinez -- 10. Lea Santos: Nonequilibrium dynamics of isolated many-body quantum systems -- 11. Luis FC Alberto -- 12. Marcelo G. Ramirez Avila: Fireflies: a paradigm in synchronization -- 13. Mike Field: Heteroclinic networks and patterns of synchronization in identical coupled cell systems -- 14. Luis Antonio Aguirre -- 15. José Mário Vicensi Grzybowski.
Record Nr. UNINA-9910300555403321
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2018
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Coexistence and persistence of strange attractors / / Antonio Pumariño, J. Angel Rodríguez
Coexistence and persistence of strange attractors / / Antonio Pumariño, J. Angel Rodríguez
Autore Pumariño Antonio <1966->
Edizione [1st ed. 1997.]
Pubbl/distr/stampa Berlin : , : Springer, , [1997]
Descrizione fisica 1 online resource (X, 194 p.)
Disciplina 003.857
Collana Lecture notes in mathematics
Soggetto topico Chaotic behavior in systems
ISBN 3-540-68496-4
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Saddle-focus connections -- The unimodal family -- Contractive directions -- Critical points of the bidimensional map -- The inductive process -- The binding point -- The binding period -- The exclusion of parameters.
Record Nr. UNINA-9910146287003321
Pumariño Antonio <1966->  
Berlin : , : Springer, , [1997]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Coexistence and persistence of strange attractors / / Antonio Pumariño, J. Angel Rodríguez
Coexistence and persistence of strange attractors / / Antonio Pumariño, J. Angel Rodríguez
Autore Pumariño Antonio <1966->
Edizione [1st ed. 1997.]
Pubbl/distr/stampa Berlin : , : Springer, , [1997]
Descrizione fisica 1 online resource (X, 194 p.)
Disciplina 003.857
Collana Lecture notes in mathematics
Soggetto topico Chaotic behavior in systems
ISBN 3-540-68496-4
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Saddle-focus connections -- The unimodal family -- Contractive directions -- Critical points of the bidimensional map -- The inductive process -- The binding point -- The binding period -- The exclusion of parameters.
Record Nr. UNISA-996466578503316
Pumariño Antonio <1966->  
Berlin : , : Springer, , [1997]
Materiale a stampa
Lo trovi qui: Univ. di Salerno
Opac: Controlla la disponibilità qui
Collection of Papers on Chaos Theory and Its Applications / / Paul Bracken, Dimo I. Uzunov
Collection of Papers on Chaos Theory and Its Applications / / Paul Bracken, Dimo I. Uzunov
Autore Bracken Paul
Pubbl/distr/stampa London : , : IntechOpen, , 2021
Descrizione fisica 1 online resource (264 pages)
Disciplina 003.857
Soggetto topico Chaotic behavior in systems
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNINA-9910688482403321
Bracken Paul  
London : , : IntechOpen, , 2021
Materiale a stampa
Lo trovi qui: Univ. Federico II
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A collection of papers on chaos theory and its applications / / edited by Paul Bracken and Dimo Uzunov
A collection of papers on chaos theory and its applications / / edited by Paul Bracken and Dimo Uzunov
Pubbl/distr/stampa London, England : , : IntechOpen, , [2021]
Descrizione fisica 1 online resource (264 pages) : illustrations
Disciplina 003.857
Soggetto topico Chaotic behavior in systems
ISBN 1-83962-859-6
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNINA-9910490739903321
London, England : , : IntechOpen, , [2021]
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Coping with chaos : analysis of chaotic data and the exploitation of chaotic systems / edited by Edward Ott, Tim Sauer, James A. Yorke
Coping with chaos : analysis of chaotic data and the exploitation of chaotic systems / edited by Edward Ott, Tim Sauer, James A. Yorke
Pubbl/distr/stampa New York ?etc.?, : J. Wiley, c1994
Descrizione fisica XII, 418 p. : ill. ; 26 cm
Disciplina 003
003.857
Collana Wiley series in nonlinear science
Soggetto topico Sistemi dinamici
Calcolo numerico
Sistemi - Comportamento caotico
ISBN 0471025569
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNISANNIO-TSA0002454
New York ?etc.?, : J. Wiley, c1994
Materiale a stampa
Lo trovi qui: Univ. del Sannio
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Definizioni e misure del caos. Tesi di laurea / laureanda Cristina De Cecco ; relat. Carlo Sempi
Definizioni e misure del caos. Tesi di laurea / laureanda Cristina De Cecco ; relat. Carlo Sempi
Autore De Cecco, Cristina
Pubbl/distr/stampa Lecce : Università degli studi. Facoltà di Scienze. Corso di laurea in Matematica, a.a. 1995-96
Disciplina 003.857
Altri autori (Persone) Sempi, Carlo
Soggetto topico Iteration theory
Classificazione AMS 26A18
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione ita
Record Nr. UNISALENTO-991000807629707536
De Cecco, Cristina  
Lecce : Università degli studi. Facoltà di Scienze. Corso di laurea in Matematica, a.a. 1995-96
Materiale a stampa
Lo trovi qui: Univ. del Salento
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