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Handbook of chaos control / / edited by Eckehard Schöll and Heinz Georg Schuster
| 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
| 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 | ||
| ||