Info
- Utilizzare la checkbox di selezione a fianco di ciascun documento per attivare le funzionalità di stampa, invio email, download nei formati disponibili del (i) record.
2-D quadratic maps and 3-D ODE systems [[electronic resource] ] : a rigorous approach / / Elhadj Zeraoulia, Julien Clinton Sprott
| 2-D quadratic maps and 3-D ODE systems [[electronic resource] ] : a rigorous approach / / Elhadj Zeraoulia, Julien Clinton Sprott |
| Autore | Zeraoulia Elhadj |
| Pubbl/distr/stampa | Singapore ; ; Hackensack, N.J., : World Scientific Pub. Co., c2010 |
| Descrizione fisica | 1 online resource (342 p.) |
| Disciplina | 515.352 |
| Altri autori (Persone) | SprottJulien C |
| Collana | World Scientific series on nonlinear science. Series A, Monographs and treatises |
| Soggetto topico |
Forms, Quadratic
Differential equations, Linear Bifurcation theory Differentiable dynamical systems Proof theory |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-283-14459-X
9786613144591 981-4307-75-0 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface; Contents; Acknowledgements; 1. Tools for the rigorous proof of chaos and bifurcations; 2. 2-D quadratic maps: The invertible case; 3. Classification of chaotic orbits of the general 2-D quadratic map; 4. Rigorous proof of chaos in the double-scroll system; 5. Rigorous analysis of bifurcation phenomena; Bibliography; Index |
| Record Nr. | UNINA-9910463905403321 |
Zeraoulia Elhadj
|
||
| Singapore ; ; Hackensack, N.J., : World Scientific Pub. Co., c2010 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
2-D quadratic maps and 3-D ODE systems [[electronic resource] ] : a rigorous approach / / Elhadj Zeraoulia, Julien Clinton Sprott
| 2-D quadratic maps and 3-D ODE systems [[electronic resource] ] : a rigorous approach / / Elhadj Zeraoulia, Julien Clinton Sprott |
| Autore | Zeraoulia Elhadj |
| Pubbl/distr/stampa | Singapore ; ; Hackensack, N.J., : World Scientific Pub. Co., c2010 |
| Descrizione fisica | 1 online resource (342 p.) |
| Disciplina | 515.352 |
| Altri autori (Persone) | SprottJulien C |
| Collana | World Scientific series on nonlinear science. Series A, Monographs and treatises |
| Soggetto topico |
Forms, Quadratic
Differential equations, Linear Bifurcation theory Differentiable dynamical systems Proof theory |
| ISBN |
1-283-14459-X
9786613144591 981-4307-75-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface; Contents; Acknowledgements; 1. Tools for the rigorous proof of chaos and bifurcations; 2. 2-D quadratic maps: The invertible case; 3. Classification of chaotic orbits of the general 2-D quadratic map; 4. Rigorous proof of chaos in the double-scroll system; 5. Rigorous analysis of bifurcation phenomena; Bibliography; Index |
| Record Nr. | UNINA-9910788556103321 |
|
Zeraoulia Elhadj
|
||
| Singapore ; ; Hackensack, N.J., : World Scientific Pub. Co., c2010 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
2-D quadratic maps and 3-D ODE systems [[electronic resource] ] : a rigorous approach / / Elhadj Zeraoulia, Julien Clinton Sprott
| 2-D quadratic maps and 3-D ODE systems [[electronic resource] ] : a rigorous approach / / Elhadj Zeraoulia, Julien Clinton Sprott |
| Autore | Zeraoulia Elhadj |
| Pubbl/distr/stampa | Singapore ; ; Hackensack, N.J., : World Scientific Pub. Co., c2010 |
| Descrizione fisica | 1 online resource (342 p.) |
| Disciplina | 515.352 |
| Altri autori (Persone) | SprottJulien C |
| Collana | World Scientific series on nonlinear science. Series A, Monographs and treatises |
| Soggetto topico |
Forms, Quadratic
Differential equations, Linear Bifurcation theory Differentiable dynamical systems Proof theory |
| ISBN |
1-283-14459-X
9786613144591 981-4307-75-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface; Contents; Acknowledgements; 1. Tools for the rigorous proof of chaos and bifurcations; 2. 2-D quadratic maps: The invertible case; 3. Classification of chaotic orbits of the general 2-D quadratic map; 4. Rigorous proof of chaos in the double-scroll system; 5. Rigorous analysis of bifurcation phenomena; Bibliography; Index |
| Record Nr. | UNINA-9910818249003321 |
|
Zeraoulia Elhadj
|
||
| Singapore ; ; Hackensack, N.J., : World Scientific Pub. Co., c2010 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Frontiers in the study of chaotic dynamical systems with open problems [[electronic resource] /] / edited by Elhadj Zeraoulia, Julien Clinton Sprott
| Frontiers in the study of chaotic dynamical systems with open problems [[electronic resource] /] / edited by Elhadj Zeraoulia, Julien Clinton Sprott |
| Pubbl/distr/stampa | Hackensack, N.J., : World Scientific, 2011 |
| Descrizione fisica | 1 online resource (268 p.) |
| Disciplina | 003.857 |
| Altri autori (Persone) |
ZeraouliaElhadj
SprottJulien C |
| Collana | World Scientific series on nonlinear science. Series B, Special theme issues and proceedings |
| Soggetto topico |
Differentiable dynamical systems
Chaotic behavior in systems |
| ISBN |
1-283-23495-5
9786613234957 981-4340-70-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; Contents; Chapter 1 Problems with Lorenz's Modeling and the Algorithm of Chaos Doctrine; 1.1. Introduction; 1.2. Lorenz's Modeling and Problems of the Model; 1.3. Computational Schemes and What Lorenz's Chaos Is; 1.4. Discussion; 1.5. Appendix: Another Way to Show that Chaos Theory Suffers From Flaws; References; Chapter 2 Nonexistence of Chaotic Solutions of Nonlinear Differential Equations; 2.1. Introduction; 2.2. Open Problems About Nonexistence of Chaotic Solutions; References; Chapter 3 Some Open Problems in the Dynamics of Quadratic and Higher Degree Polynomial ODE Systems
3.1. First Open Problem3.2. Second Open Problem; 3.3. Third Open Problem; 3.4. Fourth Open Problem; 3.5. Fifth Open Problem; 3.6. Sixth Open Problem; References; Chapter 4 On Chaotic and Hyperchaotic Complex Nonlinear Dynamical Systems; 4.1. Introduction; 4.2. Examples; 4.2.1. Dynamical Properties of Chaotic Complex Chen System; 4.2.2. Hyperchaotic Complex Lorenz Systems; 4.3. Open Problems; 4.4. Conclusions; References; Chapter 5 On the Study of Chaotic Systems with Non-Horseshoe Template; 5.1. Introduction; 5.2. Formulation; 5.3. Topological Analysis and Its Invariants 5.4. Application to Circuit Data5.4.1. Search for Close Return; 5.4.2. Topological Constant; 5.4.3. Template Identification; 5.4.4. Template Verification; 5.5. Conclusion and Discussion; References; Chapter 6 Instability of Solutions of Fourth and Fifth Order Delay Differential Equations; 6.1. Introduction; 6.2. Open Problems; 6.3. Conclusion; References; Chapter 7 Some Conjectures About the Synchronizability and the Topology of Networks; 7.1. Introduction; 7.2. Related and Historical Problems About Network Synchronizability 7.3. Some Physical Examples About the Real Applications of Network Synchronizability7.4. Preliminaries; 7.5. Complete Clustered Networks; 7.5.1. Clustering Point on Complete Clustered Networks; 7.5.2. Classification of the Clustering and the Amplitude of the Synchronization Interval; 7.5.3. Discussion; 7.6. Symbolic Dynamics and Networks Synchronization; References; Chapter 8 Wavelet Study of Dynamical Systems Using Partial Differential Equations; 8.1. Definitions and State of Art; 8.2. Open Problems in the Continuous Wavelet Transform and a Topology of Bounding Tori 8.3. The Evaluation of the Continuous Wavelet Transform Using Partial Differential Equations in Non-Cartesian Co-ordinates and Multidimensional Case8.4. Discussion of Open Problems; References; Chapter 9 Combining the Dynamics of Discrete Dynamical Systems; 9.1. Introduction; 9.2. Basic Definitions and Notations; 9.3. Statement of the Problems; 9.3.1. Dynamic Parrondo's Paradox and Commuting Functions; 9.3.2. Dynamics Shared by Commuting Functions; 9.3.3. Computing Problems for Large Periods T; 9.3.4. Commutativity Problems; 9.3.5. Generalization to Continuous Triangular Maps on the Square References |
| Record Nr. | UNINA-9910788959803321 |
| Hackensack, N.J., : World Scientific, 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Frontiers in the study of chaotic dynamical systems with open problems [[electronic resource] /] / edited by Elhadj Zeraoulia, Julien Clinton Sprott
| Frontiers in the study of chaotic dynamical systems with open problems [[electronic resource] /] / edited by Elhadj Zeraoulia, Julien Clinton Sprott |
| Pubbl/distr/stampa | Hackensack, N.J., : World Scientific, 2011 |
| Descrizione fisica | 1 online resource (268 p.) |
| Disciplina | 003.857 |
| Altri autori (Persone) |
ZeraouliaElhadj
SprottJulien C |
| Collana | World Scientific series on nonlinear science. Series B, Special theme issues and proceedings |
| Soggetto topico |
Differentiable dynamical systems
Chaotic behavior in systems |
| ISBN |
1-283-23495-5
9786613234957 981-4340-70-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; Contents; Chapter 1 Problems with Lorenz's Modeling and the Algorithm of Chaos Doctrine; 1.1. Introduction; 1.2. Lorenz's Modeling and Problems of the Model; 1.3. Computational Schemes and What Lorenz's Chaos Is; 1.4. Discussion; 1.5. Appendix: Another Way to Show that Chaos Theory Suffers From Flaws; References; Chapter 2 Nonexistence of Chaotic Solutions of Nonlinear Differential Equations; 2.1. Introduction; 2.2. Open Problems About Nonexistence of Chaotic Solutions; References; Chapter 3 Some Open Problems in the Dynamics of Quadratic and Higher Degree Polynomial ODE Systems
3.1. First Open Problem3.2. Second Open Problem; 3.3. Third Open Problem; 3.4. Fourth Open Problem; 3.5. Fifth Open Problem; 3.6. Sixth Open Problem; References; Chapter 4 On Chaotic and Hyperchaotic Complex Nonlinear Dynamical Systems; 4.1. Introduction; 4.2. Examples; 4.2.1. Dynamical Properties of Chaotic Complex Chen System; 4.2.2. Hyperchaotic Complex Lorenz Systems; 4.3. Open Problems; 4.4. Conclusions; References; Chapter 5 On the Study of Chaotic Systems with Non-Horseshoe Template; 5.1. Introduction; 5.2. Formulation; 5.3. Topological Analysis and Its Invariants 5.4. Application to Circuit Data5.4.1. Search for Close Return; 5.4.2. Topological Constant; 5.4.3. Template Identification; 5.4.4. Template Verification; 5.5. Conclusion and Discussion; References; Chapter 6 Instability of Solutions of Fourth and Fifth Order Delay Differential Equations; 6.1. Introduction; 6.2. Open Problems; 6.3. Conclusion; References; Chapter 7 Some Conjectures About the Synchronizability and the Topology of Networks; 7.1. Introduction; 7.2. Related and Historical Problems About Network Synchronizability 7.3. Some Physical Examples About the Real Applications of Network Synchronizability7.4. Preliminaries; 7.5. Complete Clustered Networks; 7.5.1. Clustering Point on Complete Clustered Networks; 7.5.2. Classification of the Clustering and the Amplitude of the Synchronization Interval; 7.5.3. Discussion; 7.6. Symbolic Dynamics and Networks Synchronization; References; Chapter 8 Wavelet Study of Dynamical Systems Using Partial Differential Equations; 8.1. Definitions and State of Art; 8.2. Open Problems in the Continuous Wavelet Transform and a Topology of Bounding Tori 8.3. The Evaluation of the Continuous Wavelet Transform Using Partial Differential Equations in Non-Cartesian Co-ordinates and Multidimensional Case8.4. Discussion of Open Problems; References; Chapter 9 Combining the Dynamics of Discrete Dynamical Systems; 9.1. Introduction; 9.2. Basic Definitions and Notations; 9.3. Statement of the Problems; 9.3.1. Dynamic Parrondo's Paradox and Commuting Functions; 9.3.2. Dynamics Shared by Commuting Functions; 9.3.3. Computing Problems for Large Periods T; 9.3.4. Commutativity Problems; 9.3.5. Generalization to Continuous Triangular Maps on the Square References |
| Record Nr. | UNINA-9910827248503321 |
| Hackensack, N.J., : World Scientific, 2011 | ||
| 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
| 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
| 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
| 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 | ||
| ||