The physics of chaos in Hamiltonian systems - Zaslavsky, George M. (Imperial College Press, 2007)
Includes bibliographical references (p. 300-311) and index
PREFACE TO THE FIRST EDITION; PREFACE TO THE SECOND EDITION; CONTENTS; Appendix 1 THE NONLINEAR PENDULUM; Appendix 2 SOLUTION TO THE RENORMALISATION TRANSFORM EQUATION; Appendix 3 FRACTIONAL INTEGRO-DIFFERENTIATION; Appendix 4 FORMULAS OF FRACTIONAL CALCULUS; REFERENCES; INDEX
This book aims to familiarize the reader with the essential properties of the chaotic dynamics of Hamiltonian systems by avoiding specialized mathematical tools, thus making it easily accessible to a broader audience of researchers and students. Unique material on the most intriguing and fascinating topics of unsolved and current problems in contemporary chaos theory is presented. The coverage includes: separatrix chaos; properties and a description of systems with non-ergodic dynamics; the distribution of Poincaré recurrences and their role in transport theory; dynamical models of the Maxwell