Chaotic Transport in Dynamical Systems

✍ Scribed by Stephen Wiggins (auth.)

• Book ID: 127429824
• Publisher: Springer
• Year: 1992
• Tongue: English
• Weight: 3 MB
• Edition: 1
• Category: Library
• City: New York
• ISBN-13: 9783540975229
• DOI: 10.1007/978-1-4757-3896-4

✦ Synopsis

Provides a new and more realistic framework for describing the dynamics of non-linear systems. A number of issues arising in applied dynamical systems from the viewpoint of problems of phase space transport are raised in this monograph. Illustrating phase space transport problems arising in a variety of applications that can be modeled as time-periodic perturbations of planar Hamiltonian systems, the book begins with the study of transport in the associated two-dimensional Poincaré Map. This serves as a starting point for the further motivation of the transport issues through the development of ideas in a non-perturbative framework with generalizations to higher dimensions as well as more general time dependence. A timely and important contribution to those concerned with the applications of mathematics.

✦ Subjects

Statistical Physics, Dynamical Systems and Complexity