Hamiltonian chaos and fractional dynamics

George M. Zaslavsky

421 pages, parution le 23/12/2004

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Résumé

This book gives a realistic contemporary image of Hamiltonian dynamics, dealing with the basic principles of the Hamiltonian theory of chaos in addition to very recent and unusual applications of nonlinear dynamics and the fractality of dynamics.

Sommaire

Chaotic Dynamics
- Hamiltonian dynamics
- Examples of Hamiltonian dynamics
- Perturbed dynamics
- Chaotic dynamics
- Physical models of chaos
- Separatrix chaos
- Weak chaos and symmetry
- Beyond the KAM-theory
- Phase space of chaos
Fractality of chaos
- Fractals and chaos
- Poincare recurrences
- Dynamical traps
- Fractal time
Chaotic Kinetics
- General principles of kinetics
- Levy processes, Levy flights, and Weierstrass random walks
- Fractional kinetic equation (FKE)
- Renormalization group of kinetics (RGK)
- Fractional kinetics equation solutions and modifications
- Pseudochaos
Applications
- Complexity and entropy of dynamics
- Complexity and entropy functions
- Chaos and foundation of statistical mechanics
- Chaotic advection (dynamics of tracers)
- Advection by point vortices
Appendices
References
Index

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	PAPIER
Éditeur(s)	Oxford University Press
Auteur(s)	George M. Zaslavsky
Parution	23/12/2004
Nb. de pages	421
Format	16 x 24
Couverture	Relié
Poids	879g
Intérieur	Noir et Blanc
EAN13	9780198526049
ISBN13	978-0-19-852604-9