Chaotic synchronization [[electronic resource] ] : applications to living systems / / Erik Mosekilde, Yuri Maistrenko, Dmitry Postnov |
Autore | Mosekilde Erik |
Pubbl/distr/stampa | River Edge, NJ, : World Scientific, c2002 |
Descrizione fisica | 1 online resource (440 p.) |
Disciplina | 003/.857 |
Altri autori (Persone) |
MaĭstrenkoI͡U. L (I͡Uriĭ Leonidovich)
PostnovDmitry |
Collana | World Scientific series on nonlinear science. Series A |
Soggetto topico |
Chaotic behavior in systems
Synchronization |
ISBN | 981-277-826-8 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Contents ; PREFACE ; 1 COUPLED NONLINEAR OSCILLATORS ; 1.1 The Role of Synchronization ; 1.2 Synchronization Measures ; 1.3 Mode-Locking of Endogenous Economic Cycles ; 2 TRANSVERSE STABILITY OF COUPLED MAPS ; 2.1 Riddling Bubbling and On-Off Intermittency
2.2 Weak Stability of the Synchronized Chaotic State 2.3 Formation of Riddled Basins of Attraction ; 2.4 Destabilization of Low-Periodic Orbits ; 2.5 Different Riddling Scenarios ; 2.6 Intermingled Basins of Attraction ; 2.7 Partial Synchronization for Three Coupled Maps 3 UNFOLDING THE RIDDLING BIFURCATION 3.1 Locally and Globally Riddled Basins of Attraction ; 3.2 Conditions for Soft and Hard Riddling ; 3.3 Example of a Soft Riddling Bifurcation ; 3.4 Example of a Hard Riddling Bifurcation ; 3.5 Destabilization Scenario for a = a1 3.6 Coupled Intermittency-III Maps 3.7 The Contact Bifurcation ; 3.8 Conclusions ; 4 TIME-CONTINUOUS SYSTEMS ; 4.1 Two Coupled Rossler Oscillators ; 4.2 Transverse Destabilization of Low-Periodic Orbits ; 4.3 Riddled Basins ; 4.4 Bifurcation Scenarios for Asynchronous Cycles 4.5 The Role of a Small Parameter Mismatch 4.6 Influence of Asymmetries in the Coupled System ; 4.7 Transverse Stability of the Equilibrium Point ; 4.8 Partial Synchronization of Coupled Oscillators ; 4.9 Clustering in a System of Four Coupled Oscillators 4.10 Arrays of Coupled Rossler Oscillators |
Record Nr. | UNINA-9910813043903321 |
Mosekilde Erik | ||
River Edge, NJ, : World Scientific, c2002 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Dynamics of dissipation / / P. Garbaczewski, R. Olkiewicz (editors) |
Edizione | [1st ed. 2002.] |
Pubbl/distr/stampa | Berlin, Germany ; ; New York, New York : , : Springer-Verlag, , [2002] |
Descrizione fisica | 1 online resource (504 p.) |
Disciplina | 003/.857 |
Collana | Lecture Notes in Physics |
Soggetto topico |
Open systems (Physics)
Energy dissipation Chaotic behavior in systems |
ISBN | 3-540-46122-1 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Nonequilibrium Dynamics -- Some Recent Advances in Classical Statistical Mechanics -- Deterministic Thermostats and Flctuation Relations -- What Is the Microscopic Response of a System Driven Far From Equilibrium? -- Non-equilibrium Statistical Mechanics of Classical and Quantum Systems -- Dynamics of Relaxation and Chaotic Behaviour -- Dynamical Theory of Relaxation in Classical and Quantum Systems -- Relaxation and Noise in Chaotic Systems -- Fractal Structures in the Phase Space of Simple Chaotic Systems with Transport -- Dynamical Semigroups -- Markov Semigroups and Their Applications -- Invitation to Quantum Dynamical Semigroups -- Finite Dissipative Quantum Systems -- Complete Positivity in Dissipative Quantum Dynamics -- Quantum Stochastic Dynamical Semigroup -- Driving, Dissipation and Control in Quantum Systems -- Driven Chaotic Mesoscopic Systems, Dissipation and Decoherence -- Quantum State Control in Cavity QED -- Solving Schrödinger’s Equation for an Open System and Its Environment -- Dynamics of Large Systems -- Thermodynamic Behavior of Large Dynamical Systems -- Coherent and Dissipative Transport in Aperiodic Solids: An Overview -- Scaling Limits of Schrödinger Quantum Mechanics. |
Record Nr. | UNISA-996466680303316 |
Berlin, Germany ; ; New York, New York : , : Springer-Verlag, , [2002] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. di Salerno | ||
|
Dynamics of dissipation / / P. Garbaczewski, R. Olkiewicz (editors) |
Edizione | [1st ed. 2002.] |
Pubbl/distr/stampa | Berlin, Germany ; ; New York, New York : , : Springer-Verlag, , [2002] |
Descrizione fisica | 1 online resource (504 p.) |
Disciplina | 003/.857 |
Collana | Lecture Notes in Physics |
Soggetto topico |
Open systems (Physics)
Energy dissipation Chaotic behavior in systems |
ISBN | 3-540-46122-1 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Nonequilibrium Dynamics -- Some Recent Advances in Classical Statistical Mechanics -- Deterministic Thermostats and Flctuation Relations -- What Is the Microscopic Response of a System Driven Far From Equilibrium? -- Non-equilibrium Statistical Mechanics of Classical and Quantum Systems -- Dynamics of Relaxation and Chaotic Behaviour -- Dynamical Theory of Relaxation in Classical and Quantum Systems -- Relaxation and Noise in Chaotic Systems -- Fractal Structures in the Phase Space of Simple Chaotic Systems with Transport -- Dynamical Semigroups -- Markov Semigroups and Their Applications -- Invitation to Quantum Dynamical Semigroups -- Finite Dissipative Quantum Systems -- Complete Positivity in Dissipative Quantum Dynamics -- Quantum Stochastic Dynamical Semigroup -- Driving, Dissipation and Control in Quantum Systems -- Driven Chaotic Mesoscopic Systems, Dissipation and Decoherence -- Quantum State Control in Cavity QED -- Solving Schrödinger’s Equation for an Open System and Its Environment -- Dynamics of Large Systems -- Thermodynamic Behavior of Large Dynamical Systems -- Coherent and Dissipative Transport in Aperiodic Solids: An Overview -- Scaling Limits of Schrödinger Quantum Mechanics. |
Record Nr. | UNINA-9910146555203321 |
Berlin, Germany ; ; New York, New York : , : Springer-Verlag, , [2002] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Handbook of chaos control / / edited by Eckehard Schöll and Heinz Georg Schuster |
Edizione | [2nd ed.] |
Pubbl/distr/stampa | Weinheim, [Germany] : , : Wiley-VCH Verlag GmbH & Co. KGaA, , 2008 |
Descrizione fisica | 1 online resource (851 p.) |
Disciplina |
003.857
003/.857 |
Soggetto topico |
Nonlinear control theory
Chaotic behavior in systems |
ISBN |
1-281-94681-8
9786611946814 3-527-62231-4 3-527-62232-2 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Handbook of Chaos Control; Contents; Preface; List of Contributors; Part I Basic Aspects and Extension of Methods; 1 Controlling Chaos; 1.1 Introduction; 1.2 The OGY Chaos Control; 1.3 Targeting-Steering Chaotic Trajectories; 1.3.1 Part I: Finding a Proper Trajectory; 1.3.2 Part II: Finding a Pseudo-Orbit Trajectory; 1.3.3 The Targeting Algorithm; 1.4 Applying Control of Chaos and Targeting Ideas; 1.4.1 Controlling an Electronic Circuit; 1.4.2 Controlling a Complex System; 1.5 Conclusion; References; 2 Time-Delay Control for Discrete Maps; 2.1 Overview: Why Study Discrete Maps?
2.2 Theme and Variations2.2.1 Rudimentary Time-Delay Feedback; 2.2.2 Extending the Domain of Control; 2.2.3 High-Dimensional Systems; 2.3 Robustness of Time-Delay Stabilization; 2.4 Summary; Acknowledgments; References; 3 An Analytical Treatment of the Delayed Feedback Control Algorithm; 3.1 Introduction; 3.2 Proportional Versus Delayed Feedback; 3.3 Controlling Periodic Orbits Arising from a Period Doubling Bifurcation; 3.3.1 Example: Controlling the Rössler System; 3.4 Control of Forced Self-Sustained Oscillations; 3.4.1 Problem Formulation and Averaged Equation 3.4.2 Periodic Orbits of the Free System3.4.3 Linear Stability of the System Controlled by Delayed Feedback; 3.4.4 Numerical Demonstrations; 3.5 Controlling Torsion-Free Periodic Orbits; 3.5.1 Example: Controlling the Lorenz System at a Subcritical Hopf Bifurcation; 3.6 Conclusions; References; 4 Beyond the Odd-Number Limitation of Time-Delayed Feedback Control; 4.1 Introduction; 4.2 Mechanism of Stabilization; 4.3 Conditions on the Feedback Gain; 4.4 Conclusion; Acknowledgments; Appendix: Calculation of Floquet Exponents; References; 5 On Global Properties of Time-Delayed Feedback Control 5.1 Introduction5.2 A Comment on Control and Root Finding Algorithms; 5.3 Codimension-Two Bifurcations and Basins of Attraction; 5.3.1 The Transition from Super- to Subcritical Behavior; 5.3.2 Probing Basins of Attraction in Experiments; 5.4 A Case Study of Global Features for Time-Delayed Feedback Control; 5.4.1 Analytical Bifurcation Analysis of One-Dimensional Maps; 5.4.2 Dependence of Sub- and Supercritical Behavior on the Observable; 5.4.3 Influence of the Coupling of the Control Force; 5.5 Conclusion; Acknowledgments; Appendix A Normal Form Reduction Appendix B Super- and Subcritical Hopf Bifurcation for MapsReferences; 6 Poincaré-Based Control of Delayed Measured Systems: Limitations and Improved Control; 6.1 Introduction; 6.1.1 The Delay Problem-Time-Discrete Case; 6.1.2 Experimental Setups with Delay; 6.2 Ott-Grebogi-Yorke (OGY) Control; 6.3 Limitations of Unmodified Control and Simple Improved Control Schemes; 6.3.1 Limitations of Unmodified OGY Control in the Presence of Delay; 6.3.2 Stability Diagrams Derived by the Jury Criterion; 6.3.3 Stabilizing Unknown Fixed Points: Limitations of Unmodified Difference Control 6.3.4 Rhythmic Control Schemes: Rhythmic OGY Control |
Record Nr. | UNINA-9910144116403321 |
Weinheim, [Germany] : , : Wiley-VCH Verlag GmbH & Co. KGaA, , 2008 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Handbook of chaos control / / edited by Eckehard Schöll and Heinz Georg Schuster |
Edizione | [2nd ed.] |
Pubbl/distr/stampa | Weinheim, [Germany] : , : Wiley-VCH Verlag GmbH & Co. KGaA, , 2008 |
Descrizione fisica | 1 online resource (851 p.) |
Disciplina |
003.857
003/.857 |
Soggetto topico |
Nonlinear control theory
Chaotic behavior in systems |
ISBN |
1-281-94681-8
9786611946814 3-527-62231-4 3-527-62232-2 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Handbook of Chaos Control; Contents; Preface; List of Contributors; Part I Basic Aspects and Extension of Methods; 1 Controlling Chaos; 1.1 Introduction; 1.2 The OGY Chaos Control; 1.3 Targeting-Steering Chaotic Trajectories; 1.3.1 Part I: Finding a Proper Trajectory; 1.3.2 Part II: Finding a Pseudo-Orbit Trajectory; 1.3.3 The Targeting Algorithm; 1.4 Applying Control of Chaos and Targeting Ideas; 1.4.1 Controlling an Electronic Circuit; 1.4.2 Controlling a Complex System; 1.5 Conclusion; References; 2 Time-Delay Control for Discrete Maps; 2.1 Overview: Why Study Discrete Maps?
2.2 Theme and Variations2.2.1 Rudimentary Time-Delay Feedback; 2.2.2 Extending the Domain of Control; 2.2.3 High-Dimensional Systems; 2.3 Robustness of Time-Delay Stabilization; 2.4 Summary; Acknowledgments; References; 3 An Analytical Treatment of the Delayed Feedback Control Algorithm; 3.1 Introduction; 3.2 Proportional Versus Delayed Feedback; 3.3 Controlling Periodic Orbits Arising from a Period Doubling Bifurcation; 3.3.1 Example: Controlling the Rössler System; 3.4 Control of Forced Self-Sustained Oscillations; 3.4.1 Problem Formulation and Averaged Equation 3.4.2 Periodic Orbits of the Free System3.4.3 Linear Stability of the System Controlled by Delayed Feedback; 3.4.4 Numerical Demonstrations; 3.5 Controlling Torsion-Free Periodic Orbits; 3.5.1 Example: Controlling the Lorenz System at a Subcritical Hopf Bifurcation; 3.6 Conclusions; References; 4 Beyond the Odd-Number Limitation of Time-Delayed Feedback Control; 4.1 Introduction; 4.2 Mechanism of Stabilization; 4.3 Conditions on the Feedback Gain; 4.4 Conclusion; Acknowledgments; Appendix: Calculation of Floquet Exponents; References; 5 On Global Properties of Time-Delayed Feedback Control 5.1 Introduction5.2 A Comment on Control and Root Finding Algorithms; 5.3 Codimension-Two Bifurcations and Basins of Attraction; 5.3.1 The Transition from Super- to Subcritical Behavior; 5.3.2 Probing Basins of Attraction in Experiments; 5.4 A Case Study of Global Features for Time-Delayed Feedback Control; 5.4.1 Analytical Bifurcation Analysis of One-Dimensional Maps; 5.4.2 Dependence of Sub- and Supercritical Behavior on the Observable; 5.4.3 Influence of the Coupling of the Control Force; 5.5 Conclusion; Acknowledgments; Appendix A Normal Form Reduction Appendix B Super- and Subcritical Hopf Bifurcation for MapsReferences; 6 Poincaré-Based Control of Delayed Measured Systems: Limitations and Improved Control; 6.1 Introduction; 6.1.1 The Delay Problem-Time-Discrete Case; 6.1.2 Experimental Setups with Delay; 6.2 Ott-Grebogi-Yorke (OGY) Control; 6.3 Limitations of Unmodified Control and Simple Improved Control Schemes; 6.3.1 Limitations of Unmodified OGY Control in the Presence of Delay; 6.3.2 Stability Diagrams Derived by the Jury Criterion; 6.3.3 Stabilizing Unknown Fixed Points: Limitations of Unmodified Difference Control 6.3.4 Rhythmic Control Schemes: Rhythmic OGY Control |
Record Nr. | UNINA-9910830556403321 |
Weinheim, [Germany] : , : Wiley-VCH Verlag GmbH & Co. KGaA, , 2008 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Handbook of chaos control |
Pubbl/distr/stampa | [Place of publication not identified], : Wiley VCH, 1999 |
Disciplina | 003/.857 |
Soggetto topico |
Nonlinear control theory
Chaotic behavior in systems Operations Research Civil & Environmental Engineering Engineering & Applied Sciences |
ISBN | 3-527-60745-5 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNISA-996217090203316 |
[Place of publication not identified], : Wiley VCH, 1999 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. di Salerno | ||
|
Images of a complex world [[electronic resource] ] : the art and poetry of chaos / / Robin Chapman, Julien Clinton Sprott ; foreword by Clifford A. Pickover |
Autore | Chapman Robin S |
Pubbl/distr/stampa | River Edge, NJ, : World Scientific, c2005 |
Descrizione fisica | 1 online resource (195 p.) |
Disciplina | 003/.857 |
Altri autori (Persone) | SprottJulien C |
Soggetto topico |
Dynamics
Chaotic behavior in systems Fractals Nonlinear theories Mathematics in art Mathematics in literature Digital art |
Soggetto genere / forma | Electronic books. |
ISBN |
1-281-92792-9
9786611927929 981-277-511-0 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Foreword; Preface; Acknowledgements; Contents; Chapter 1 Dynamical Systems; Dynamical Systems; Simple or Complex?; Linear or Nonlinear?; Chapter 2 Viewing Dynamics; Where Do We Go Next? (Time Series); Chapter 3 Where It All Ends; Attractors; Stillness (Fixed Points); Endless Repetition (Limit Cycles); Doughnuts and Inner Tubes (Tori); Strange Attractors (Chaos); Chapter 4 Routes to Chaos; Fork in the Road (Bifurcations); Skipping a Beat (Period-doubling); On the Edge of Chaos; Chapter 5 Images of Chaos; Chaos or Noise?; Strange Attractors; Stretching and Moving (Iterated Function Systems)
Escaping the Attractor (Generalized Julia Sets)Chapter 6 Chaos and Predictabitity; Time's Arrow; The Butterfly Effect (Sensitive Dependence); Chapter 7 Truth and Beauty; Fractals; Mirror images; Flower Petals; Appendix for the Mathematically Inclined; Index of Images; Test Your Understanding; For Further Reading; Contents of the CD-ROM; About the Authors; Index |
Record Nr. | UNINA-9910453689503321 |
Chapman Robin S | ||
River Edge, NJ, : World Scientific, c2005 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Images of a complex world [[electronic resource] ] : the art and poetry of chaos / / Robin Chapman, Julien Clinton Sprott ; foreword by Clifford A. Pickover |
Autore | Chapman Robin S |
Pubbl/distr/stampa | River Edge, NJ, : World Scientific, c2005 |
Descrizione fisica | 1 online resource (195 p.) |
Disciplina | 003/.857 |
Altri autori (Persone) | SprottJulien C |
Soggetto topico |
Dynamics
Chaotic behavior in systems Fractals Nonlinear theories Mathematics in art Mathematics in literature Digital art |
ISBN |
1-281-92792-9
9786611927929 981-277-511-0 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Foreword; Preface; Acknowledgements; Contents; Chapter 1 Dynamical Systems; Dynamical Systems; Simple or Complex?; Linear or Nonlinear?; Chapter 2 Viewing Dynamics; Where Do We Go Next? (Time Series); Chapter 3 Where It All Ends; Attractors; Stillness (Fixed Points); Endless Repetition (Limit Cycles); Doughnuts and Inner Tubes (Tori); Strange Attractors (Chaos); Chapter 4 Routes to Chaos; Fork in the Road (Bifurcations); Skipping a Beat (Period-doubling); On the Edge of Chaos; Chapter 5 Images of Chaos; Chaos or Noise?; Strange Attractors; Stretching and Moving (Iterated Function Systems)
Escaping the Attractor (Generalized Julia Sets)Chapter 6 Chaos and Predictabitity; Time's Arrow; The Butterfly Effect (Sensitive Dependence); Chapter 7 Truth and Beauty; Fractals; Mirror images; Flower Petals; Appendix for the Mathematically Inclined; Index of Images; Test Your Understanding; For Further Reading; Contents of the CD-ROM; About the Authors; Index |
Record Nr. | UNINA-9910782223203321 |
Chapman Robin S | ||
River Edge, NJ, : World Scientific, c2005 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Images of a complex world [[electronic resource] ] : the art and poetry of chaos / / Robin Chapman, Julien Clinton Sprott ; foreword by Clifford A. Pickover |
Autore | Chapman Robin S |
Pubbl/distr/stampa | River Edge, NJ, : World Scientific, c2005 |
Descrizione fisica | 1 online resource (195 p.) |
Disciplina | 003/.857 |
Altri autori (Persone) | SprottJulien C |
Soggetto topico |
Dynamics
Chaotic behavior in systems Fractals Nonlinear theories Mathematics in art Mathematics in literature Digital art |
ISBN |
1-281-92792-9
9786611927929 981-277-511-0 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Foreword; Preface; Acknowledgements; Contents; Chapter 1 Dynamical Systems; Dynamical Systems; Simple or Complex?; Linear or Nonlinear?; Chapter 2 Viewing Dynamics; Where Do We Go Next? (Time Series); Chapter 3 Where It All Ends; Attractors; Stillness (Fixed Points); Endless Repetition (Limit Cycles); Doughnuts and Inner Tubes (Tori); Strange Attractors (Chaos); Chapter 4 Routes to Chaos; Fork in the Road (Bifurcations); Skipping a Beat (Period-doubling); On the Edge of Chaos; Chapter 5 Images of Chaos; Chaos or Noise?; Strange Attractors; Stretching and Moving (Iterated Function Systems)
Escaping the Attractor (Generalized Julia Sets)Chapter 6 Chaos and Predictabitity; Time's Arrow; The Butterfly Effect (Sensitive Dependence); Chapter 7 Truth and Beauty; Fractals; Mirror images; Flower Petals; Appendix for the Mathematically Inclined; Index of Images; Test Your Understanding; For Further Reading; Contents of the CD-ROM; About the Authors; Index |
Record Nr. | UNINA-9910814091103321 |
Chapman Robin S | ||
River Edge, NJ, : World Scientific, c2005 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
The nonlinear universe : chaos, emergence, life / Alwyn C. Scott |
Autore | Scott, Alwyn |
Pubbl/distr/stampa | Berlin ; New York : Springer, c2007 |
Descrizione fisica | xvi, 364 p. : ill. ; 25 cm |
Disciplina | 003/.857 |
Collana | The frontiers collection, 1612-3018 |
Soggetto topico |
Chaotic behavior in systems
Nonlinear theories - Forecasting Research - Forecasting Twenty-first century |
ISBN | 9783540341529 |
Classificazione | LC Q172.5.C45 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNISALENTO-991003778359707536 |
Scott, Alwyn | ||
Berlin ; New York : Springer, c2007 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. del Salento | ||
|