This unique book presents a different point of view on the fundamental theory of global transversality, resonance and chaotic dynamics in n-dimensional nonlinear dynamic systems. The methodology and techniques presented in this book are applicable to nonlinear dynamical systems in general. This book provides useful tools for analytical and numerical predictions of chaos in nonlinear Hamiltonian and dissipative systems. All theoretical results are strictly proved. However, the ideas presented in this book are less formal and rigorous in an informal and lively manner. The author hopes the initial ideas may give some inspirations in the field of nonlinear dynamics. With physical concepts, the author also used the simple, mathematical language to write this book. Therefore, this book is very readable, which can be either a textbook for senior undergraduate and graduate students or a reference book for researches in nonlinear dynamics.
By:
Albert C J Luo (Southern Illinois Univ Edwardsville Usa) Imprint: World Scientific Publishing Co Pte Ltd Country of Publication: Singapore ISBN:9789812771117 ISBN 10: 9812771115 Pages: 460 Publication Date:30 January 2008 Audience:
College/higher education
,
Further / Higher Education
Format:Hardback Publisher's Status: Active
Differential Geometry of Flows; Global Transversality in Continuous Dynamical Systems; Chaotic Layer Dynamics; 2-D Stochastic Layers; Stochasticity in Resonant Separatrix Layers; Nonlinear Dynamics on an (2n-1) Equi-energy Surface; Stability and Grazing in Dissipative Systems; Global Dynamics in 2-D Dynamical Systems; Flow Switchability in Discontinuous Dynamical Systems.