Global Analysis of Nonlinear Dynamics

✍ Scribed by Michael Borre, Henryk Flashner (auth.), Jian-Qiao Sun, Albert C. J. Luo (eds.)

• Publisher: Springer New York
• Year: 2012
• Tongue: English
• Leaves: 296
• Category: Library

✦ Synopsis

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. This book also:

• Presents recent developments in global analysis of non-linear dynamical systems

• Provides in-depth considerations and extensions of cell mapping methods

• Adopts an inclusive style accessible to non-specialists and graduate students

Global Analysis of Nonlinear Dynamics is an ideal reference for the community of nonlinear dynamics in different disciplines including engineering, applied mathematics, meteorology, life science, computational science, and medicine.

✦ Table of Contents

Front Matter....Pages i-xiv
Global Analysis of Periodic Solutions for Flexible Feedback Systems....Pages 1-30
Cell Mapping Techniques for Tuning Dynamical Systems....Pages 31-50
Iterative Digraph Cell Mapping Method....Pages 51-74
Crises in Chaotic Systems....Pages 75-105
Point Mapping under Cell Reference - A Two Scaled Numerical Method for Global Analysis....Pages 107-137
Unstable Invariant Sets in Nonlinear Dynamical Systems....Pages 139-159
Fuzzy Cell Mapping....Pages 161-174
Stability and Response Bounds for Structures Under Dynamic Loads....Pages 175-187
Hamiltonian Chaos in Nonlinear Parametric Systems....Pages 189-219
Multilevel Subdivision Techniques for Scalar Optimization Problems....Pages 221-252
Stochastic Control....Pages 253-276
Back Matter....Pages 277-287

✦ Subjects

Vibration, Dynamical Systems, Control;Energy Technology;Cell Physiology