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Advanced Series in Dynamical Systems - Vol. 15

BIFURCATION THEORY AND METHODS OF DYNAMICAL SYSTEMS

by Luo Dingjun (Nanjing Normal University), Wang Xian (Nanjing University), Zhu Deming (East China Normal University) & Han Maoan (Shanghai Jiaotong University)

Dynamical bifurcation theory is concerned with the changes that occur in the global structure of dynamical systems as parameters are varied. This book makes recent research in bifurcation theory of dynamical systems accessible to researchers interested in this subject. In particular, the relevant results obtained by Chinese mathematicians are introduced as well as some of the works of the authors which may not be widely known. The focus is on the analytic approach to the theory and methods of bifurcations. The book prepares graduate students for further study in this area, and it serves as a ready reference for researchers in nonlinear sciences and applied mathematics.


Contents:

  • Basic Concepts and Facts
  • Bifurcation of 2-Dimensional Systems
  • Bifurcation in Polynomial Liénard Systems
  • Periodic Perturbed Systems and Integral Manifolds
  • Bifurcations of Higher Dimensional Systems
  • Melnikov Vector, Homoclinic and Heteroclinic Orbits


Readership: Nonlinear scientists, mathematicians and physicists.

476pp Pub. date: Dec 1997
ISBN 981-02-2094-4 US$105 / £66


Copyright © 2008 World Scientific Publishing Co. All rights reserved.
Updated on 24 July 2008