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Deterministic chaos [[electronic resource] ] : an introduction / / Heinz Georg Schuster and Wolfram Just
| Deterministic chaos [[electronic resource] ] : an introduction / / Heinz Georg Schuster and Wolfram Just |
| Autore | Schuster Heinz Georg <1943-> |
| Edizione | [4th rev. and enl. ed.] |
| Pubbl/distr/stampa | Weinheim ; ; [Great Britain], : Wiley-VCH, c2005 |
| Descrizione fisica | 1 online resource (315 p.) |
| Disciplina | 530.1 |
| Altri autori (Persone) | JustW (Wolfram) |
| Soggetto topico |
Statistical physics
Deterministic chaos |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-280-52105-8
9786610521050 3-527-60480-4 3-527-60641-6 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Deterministic Chaos An Introduction; Contents; Preface; Legends to Plates I-XX; 1 Introduction; 2 Experiments and Simple Models; 2.1 Experimental Detection of Deterministic Chaos; 2.1.1 Driven Pendulum; 2.1.2 Rayleigh-Bénard System in a Box; 2.1.3 Stirred Chemical Reactions; 2.1.4 Hénon-Heiles System; 2.2 The Periodically Kicked Rotator; 2.2.1 Logistic Map; 2.2.2 Hénon Map; 2.2.3 Chirikov Map; 3 Piecewise Linear Maps and Deterministic Chaos; 3.1 The Bernoulli Shift; 3.2 Characterization of Chaotic Motion; 3.2.1 Liapunov Exponent; 3.2.2 Invariant Measure; 3.2.3 Correlation Function
6 Strange Attractors in Dissipative Dynamical Systems6.1 Introduction and Definition of Strange Attractors; 6.1.1 Baker's Transformation; 6.1.2 Dissipative Hénon Map; 6.2 The Kolmogorov Entropy; 6.2.1 Definition of K; 6.2.2 Connection of K to the Liapunov Exponents; 6.2.3 Average Time over which the State of a Chaotic System can be Predicted; 6.3 Characterization of the Attractor by a Measured Signal; 6.3.1 Reconstruction of the Attractor from a Time Series; 6.3.2 Generalized Dimensions and Distribution of Singularities in the Invariant Density 6.3.3 Generalized Entropies and Fluctuations around the K-Entropy6.3.4 Kaplan-Yorke Conjecture; 6.4 Pictures of Strange Attractors and Fractal Boundaries; 7 The Transition from Quasiperiodicity to Chaos; 7.1 Strange Attractors and the Onset of Turbulence; 7.1.1 Hopf Bifurcation; 7.1.2 Landau's Route to Turbulence; 7.1.3 Ruelle-Takens-Newhouse Route to Chaos; 7.1.4 Possibility of Three-Frequency Quasiperiodic Orbits; 7.1.5 Break-up of a Two-Torus; 7.2 Universal Properties of the Transition from Quasiperiodicity to Chaos; 7.2.1 Mode Locking and the Farey Tree; 7.2.2 Local Universality 7.2.3 Global Universality |
| Record Nr. | UNINA-9910144710003321 |
Schuster Heinz Georg <1943->
|
||
| Weinheim ; ; [Great Britain], : Wiley-VCH, c2005 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Deterministic chaos : an introduction / / Heinz Georg Schuster and Wolfram Just
| Deterministic chaos : an introduction / / Heinz Georg Schuster and Wolfram Just |
| Autore | Schuster Heinz Georg <1943-> |
| Edizione | [4th rev. and enl. ed.] |
| Pubbl/distr/stampa | Weinheim ; ; [Great Britain], : Wiley-VCH, c2005 |
| Descrizione fisica | 1 online resource (315 p.) |
| Disciplina | 530.1 |
| Altri autori (Persone) | JustW (Wolfram) |
| Soggetto topico |
Statistical physics
Deterministic chaos |
| ISBN |
1-280-52105-8
9786610521050 3-527-60480-4 3-527-60641-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Deterministic Chaos An Introduction; Contents; Preface; Legends to Plates I-XX; 1 Introduction; 2 Experiments and Simple Models; 2.1 Experimental Detection of Deterministic Chaos; 2.1.1 Driven Pendulum; 2.1.2 Rayleigh-Bénard System in a Box; 2.1.3 Stirred Chemical Reactions; 2.1.4 Hénon-Heiles System; 2.2 The Periodically Kicked Rotator; 2.2.1 Logistic Map; 2.2.2 Hénon Map; 2.2.3 Chirikov Map; 3 Piecewise Linear Maps and Deterministic Chaos; 3.1 The Bernoulli Shift; 3.2 Characterization of Chaotic Motion; 3.2.1 Liapunov Exponent; 3.2.2 Invariant Measure; 3.2.3 Correlation Function
6 Strange Attractors in Dissipative Dynamical Systems6.1 Introduction and Definition of Strange Attractors; 6.1.1 Baker's Transformation; 6.1.2 Dissipative Hénon Map; 6.2 The Kolmogorov Entropy; 6.2.1 Definition of K; 6.2.2 Connection of K to the Liapunov Exponents; 6.2.3 Average Time over which the State of a Chaotic System can be Predicted; 6.3 Characterization of the Attractor by a Measured Signal; 6.3.1 Reconstruction of the Attractor from a Time Series; 6.3.2 Generalized Dimensions and Distribution of Singularities in the Invariant Density 6.3.3 Generalized Entropies and Fluctuations around the K-Entropy6.3.4 Kaplan-Yorke Conjecture; 6.4 Pictures of Strange Attractors and Fractal Boundaries; 7 The Transition from Quasiperiodicity to Chaos; 7.1 Strange Attractors and the Onset of Turbulence; 7.1.1 Hopf Bifurcation; 7.1.2 Landau's Route to Turbulence; 7.1.3 Ruelle-Takens-Newhouse Route to Chaos; 7.1.4 Possibility of Three-Frequency Quasiperiodic Orbits; 7.1.5 Break-up of a Two-Torus; 7.2 Universal Properties of the Transition from Quasiperiodicity to Chaos; 7.2.1 Mode Locking and the Farey Tree; 7.2.2 Local Universality 7.2.3 Global Universality |
| Record Nr. | UNINA-9910876770503321 |
|
Schuster Heinz Georg <1943->
|
||
| Weinheim ; ; [Great Britain], : Wiley-VCH, c2005 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Nonequilibrium statistical physics of small systems [[electronic resource] ] : fluctuation relations and beyond / / edited by Rainer Klages, Wolfram Just, and Christopher Jarzynski
| Nonequilibrium statistical physics of small systems [[electronic resource] ] : fluctuation relations and beyond / / edited by Rainer Klages, Wolfram Just, and Christopher Jarzynski |
| Pubbl/distr/stampa | Weinheim, Germany, : Wiley-VCH, 2013 |
| Descrizione fisica | 1 online resource (448 p.) |
| Disciplina | 530.41 |
| Altri autori (Persone) |
KlagesRainer
JustW (Wolfram) JarzynskiChristopher |
| Collana | Reviews of nonlinear dynamics and complexity |
| Soggetto topico | Nonequilibrium statistical mechanics |
| ISBN |
3-527-65872-6
3-527-65870-X 1-299-15735-1 3-527-65873-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | pt. 1. Fluctuation relations -- pt. 2. Beyond fluctuation relations. |
| Record Nr. | UNINA-9910141463003321 |
| Weinheim, Germany, : Wiley-VCH, 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Nonequilibrium statistical physics of small systems : fluctuation relations and beyond / / edited by Rainer Klages, Wolfram Just, and Christopher Jarzynski
| Nonequilibrium statistical physics of small systems : fluctuation relations and beyond / / edited by Rainer Klages, Wolfram Just, and Christopher Jarzynski |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Weinheim, Germany, : Wiley-VCH, 2013 |
| Descrizione fisica | 1 online resource (448 p.) |
| Disciplina | 530.41 |
| Altri autori (Persone) |
KlagesRainer
JustW (Wolfram) JarzynskiChristopher |
| Collana | Reviews of nonlinear dynamics and complexity |
| Soggetto topico | Nonequilibrium statistical mechanics |
| ISBN |
3-527-65872-6
3-527-65870-X 1-299-15735-1 3-527-65873-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | pt. 1. Fluctuation relations -- pt. 2. Beyond fluctuation relations. |
| Record Nr. | UNINA-9910812187903321 |
| Weinheim, Germany, : Wiley-VCH, 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||