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Progress in Nonlinear Dynamics and Chaos

  • J. M. T. Thompson
Part of the International Centre for Mechanical Sciences book series (CISM, volume 342)

Abstract

Like any new scientific discipline, the modern geometrical theory of nonlinear dynamics and chaos has required a galaxy of specialised concepts and terminologies. These can be a major obstacle to applied scientists and engineers wishing to apply the powerful new methods in their own fields. To help overcome this, we provide here an overview of the subject that aims to highlight the central concepts and ideas that will be of particular importance in practical applications. Recent books which the reader may find helpful are those of Guckenheimer & Holmes (1983), Thompson & Stewart (1986), Moon (1987), Arrowsmith & Place (1990) and Abraham & Shaw (1992). Collections of modern applications are edited by Schiehlen (1990), Thompson & Gray (1990), Kim & Stringer (1992), Thompson & Schiehlen (1992) and Mullin (1993).

Keywords

Phase Portrait Chaotic Attractor Homoclinic Orbit Basin Boundary Saddle Connection 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Wien 1995

Authors and Affiliations

  • J. M. T. Thompson
    • 1
  1. 1.University College LondonLondonUK

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