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  • Book
  • © 2012

Global Analysis of Nonlinear Dynamics

  • 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
  2. Cell Mapping Techniques for Tuning Dynamical Systems

    • Ángela Castillo, Pedro J. Zufiria
    Pages 31-50
  3. Iterative Digraph Cell Mapping Method

    • Wei Xu, Xiaole Yue, Qun He
    Pages 51-74
  4. Crises in Chaotic Systems

    • Ling Hong, Jian-Xue Xu
    Pages 75-105
  5. Unstable Invariant Sets in Nonlinear Dynamical Systems

    • Hai-Lin Zou, Jian-Xue Xu
    Pages 139-159
  6. Fuzzy Cell Mapping

    • Jian-Qiao Sun, Ling Hong
    Pages 161-174
  7. Hamiltonian Chaos in Nonlinear Parametric Systems

    • Albert C. J. Luo
    Pages 189-219
  8. Multilevel Subdivision Techniques for Scalar Optimization Problems

    • Michael Dellnitz, Oliver Schütze
    Pages 221-252
  9. Stochastic Control

    • Jian-Qiao Sun
    Pages 253-276
  10. Back Matter

    Pages 277-287

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

Buy it now

Buying options

eBook USD 119.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 159.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access