Hamiltonian Chaos and Fractional Dynamics

• Written in a pedagogical style, richly illustrated, plenty of applications, examples, and problem sets
• Presents some of the most complex and important features of Hamiltonian chaos
• Comprehensive discussion of space-time fractality of chaotic dynamics
• Includes detailed analysis of the foundations of statistical mechanics and Maxwell's demon
• Includes unique material on non-KAM systems, symmetry of plane tilings, erasing of chaos, and cooling of particles

Readership: Graduate students, researchers and professionals working in physics, applied mathematics and engineering.

George M. Zaslavsky, Department of Physics and Courant Institute of Mathematical Sciences, New York University, USA

"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

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