George M. Zaslavksy is Professor of Physics and Mathematics at 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.

• 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. Poincare recurrences ; 12. Dynamical traps ; 13. Fractal time ; KINETICS ; 14. General principles of kinetics ; 15. Levy processes and levy 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

George M. Zaslavksy is Professor of Physics and Mathematics at 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.

• 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. Poincare recurrences ; 12. Dynamical traps ; 13. Fractal time ; KINETICS ; 14. General principles of kinetics ; 15. Levy processes and levy 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

George M. Zaslavksy is Professor of Physics and Mathematics at 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.

• 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. Poincare recurrences ; 12. Dynamical traps ; 13. Fractal time ; KINETICS ; 14. General principles of kinetics ; 15. Levy processes and levy 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