Global Analysis of Nonlinear Dynamics

This book covers recent developments in global analysis of non-linear dynamical systems with a particular emphasis on cell mapping methods developed by Professor C.S. Hsu of UC Berkeley, California.

Global Analysis of Nonlinear Dynamics collects chapters on recent developments in global analysis of non-linear dynamical systems with a particular emphasis on cell mapping methods developed by Professor C.S. Hsu of the University of California, Berkeley. This collection of contributions prepared by a diverse group of internationally recognized researchers is intended to stimulate interests in global analysis of complex and high-dimensional nonlinear dynamical systems, whose global properties are largely unexplored at this time.

Autorentext
Jian-Qiao Sun, University of California, Merced, jqsun@ucmerced.edu

Albert C.J. Luo, Southern Illinois University Edwardsville, aluo@siue.edu

Inhalt

Global Analysis of Periodic Solutions for Flexible Feedback Systems.- Cell Mapping Techniques for Tuning Dynamical Systems.- Iterative Digraph Cell Mapping Method.- Crises in Chaotic Systems.- A Two Scaled Method of Point Mapping.- Unstable Invariant Sets in Nonlinear Dynamical Systems.- Fuzzy Cell Mapping.- Stability and Response Bounds for Structures under Dynamic Loads.- Hamiltonian Chaos in Nonlinear Parametric Systems.- Multilevel Subdivision Techniques for Scalar Optimization Problems.- Stochastic Control.