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Materials - Mechanics | Global Analysis of Nonlinear Dynamics

Global Analysis of Nonlinear Dynamics

Sun, Jian-Qiao, Luo, Albert C. J. (Eds.)

2012, XIV, 287 p. 128 illus., 50 illus. in color.

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  • Presents recent developments in global analysis of non-linear dynamical systems
  •  
  • Provides in-depth consideration of cell mapping methods developed by Professor C.S. Hsu
  • Adopts an inclusive style accessible to non-specialists and graduate students
  • Includes 125 illustrations

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.

 

Content Level » Research

Keywords » Cell mapping - Chaotic bands - Fuzzy dynamical systems - Nonlinear discrete systems - Unstable invarient sets

Related subjects » Applied & Technical Physics - Cell Biology - Mechanics

Table of contents 

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.

 

 

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