Hamiltonian Chaos and Fractional Dynamics

Author:   George M. Zaslavsky (Department of Physics and Courant Institute of Mathematical Sciences, New York University, USA)
Publisher:   Oxford University Press
ISBN:  

9780198526049


Pages:   436
Publication Date:   23 December 2004
Format:   Hardback
Availability:   To order   Availability explained
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Hamiltonian Chaos and Fractional Dynamics


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Author:   George M. Zaslavsky (Department of Physics and Courant Institute of Mathematical Sciences, New York University, USA)
Publisher:   Oxford University Press
Imprint:   Oxford University Press
Dimensions:   Width: 16.30cm , Height: 2.90cm , Length: 24.10cm
Weight:   0.918kg
ISBN:  

9780198526049


ISBN 10:   0198526040
Pages:   436
Publication Date:   23 December 2004
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   To order   Availability explained
Stock availability from the supplier is unknown. We will order it for you and ship this item to you once it is received by us.

Table of Contents

Chaotic Dynamics 1: Hamiltonian dynamics 2: Examples of Hamiltonian dynamics 3: Perturbed dynamics 4: Chaotic dynamics 5: Physical models of chaos 6: Separatrix chaos 7: Chaos and symmetry 8: Beyond the KAM-theory 9: Phase space of chaos Fractality of chaos 10: Fractals and chaos 11: Poincaré recurrences 12: Dynamical traps 13: Fractal time Kinetics 14: General principles of kinetics 15: Lévy processes and lévy flights 16: Fractional kinetic equation (FKE) 17: Renormalization group of kinetics (RGK) 18: Fractional kinetics equation solutions and modifications 19: Pseudochaos Applications 20: Complexity and entropy of dynamics 21: Complexity and entropy functions 22: Chaos and foundation of statistical mechanics 23: Chaotic advection (dynamics of tracers) 24: Advection by point vortices 25: Appendix 1 26: Appendix 2 27: Appendix 3 28: Appendix 4 29: Notes 30: Problems

Reviews

The strengths of the book lie in its broad survey of the complexity of Hamiltonian dynamics and its focus on interesting physical examples. The book has many excellent figures and illustrations as well as an extensive bibliography. Each chapter has a modest collection of associated exercises. William J. Satzer, Zentralblatt Math, Vol 1083


Author Information

George M. Zaslavksy is Professor of Physics and Mathematics at New York University, USA.

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