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Global Analysis of Nonlinear Dynamics

  • Book
  • © 2012

Overview

Editors:
  1. Jian-Qiao Sun

    1. School of Engineering, University of California, Merced, Merced, USA

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    You can also search for this editor in PubMed   Google Scholar

  2. Albert C. J. Luo

    1. Edwardsville, School of Engineering, Southern Illinois University, Edwardsville, USA

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  • 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
  • Includes supplementary material: sn.pub/extras

Part of the book series: Nonlinear Systems and Complexity (NSCH, volume 2)

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Table of contents (11 chapters)

  1. Front Matter

    Pages i-xiv
    Download chapter PDF

  2. Global Analysis of Periodic Solutions for Flexible Feedback Systems

    • Michael Borre, Henryk Flashner
    Pages 1-30

  3. Cell Mapping Techniques for Tuning Dynamical Systems

    • Ángela Castillo, Pedro J. Zufiria
    Pages 31-50

  4. Iterative Digraph Cell Mapping Method

    • Wei Xu, Xiaole Yue, Qun He
    Pages 51-74

  5. Crises in Chaotic Systems

    • Ling Hong, Jian-Xue Xu
    Pages 75-105

  6. Point Mapping under Cell Reference - A Two Scaled Numerical Method for Global Analysis

    • Jun Jiang, Jian-Xue Xu
    Pages 107-137

  7. Unstable Invariant Sets in Nonlinear Dynamical Systems

    • Hai-Lin Zou, Jian-Xue Xu
    Pages 139-159

  8. Fuzzy Cell Mapping

    • Jian-Qiao Sun, Ling Hong
    Pages 161-174

  9. Stability and Response Bounds for Structures Under Dynamic Loads

    • Raymond H. Plaut
    Pages 175-187

  10. Hamiltonian Chaos in Nonlinear Parametric Systems

    • Albert C. J. Luo
    Pages 189-219

  11. Multilevel Subdivision Techniques for Scalar Optimization Problems

    • Michael Dellnitz, Oliver Schütze
    Pages 221-252

  12. Stochastic Control

    • Jian-Qiao Sun
    Pages 253-276

  13. Back Matter

    Pages 277-287
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Keywords

About this book

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.

Editors and Affiliations

  • School of Engineering, University of California, Merced, Merced, USA

    Jian-Qiao Sun

  • Edwardsville, School of Engineering, Southern Illinois University, Edwardsville, USA

    Albert C. J. Luo

About the editors

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

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

Bibliographic Information

  • Book Title: Global Analysis of Nonlinear Dynamics

  • Editors: Jian-Qiao Sun, Albert C. J. Luo

  • Series Title: Nonlinear Systems and Complexity

  • DOI: https://doi.org/10.1007/978-1-4614-3128-2

  • Publisher: Springer New York, NY

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: Springer Science+Business Media, LLC 2012

  • Softcover ISBN: 978-1-4614-6197-5Published: 03 February 2013

  • eBook ISBN: 978-1-4614-3128-2Published: 01 May 2012

  • Series ISSN: 2195-9994

  • Series E-ISSN: 2196-0003

  • Edition Number: 1

  • Number of Pages: XIV, 287

  • Number of Illustrations: 78 b/w illustrations, 50 illustrations in colour

  • Topics: Vibration, Dynamical Systems, Control, Energy Systems, Cell Physiology

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