Meccanica

, Volume 31, Issue 3, pp 225–234 | Cite as

Topological methods for transients of driven systems

  • S. R. Bishop
  • F. A. McRobie
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Abstract

We consider the application of topological methods (such as knot, braid and Nielsen-Thurston theory) to transient, rather than periodic, orbits of periodically-forced nonlinear oscillators. The methods are restricted to systems with a three-dimensional phase space.

Key words

Nielsen-Thurston theory Knots Braids Periodically-forced systems Bifurcation and chaos 

Sommario

Si considera l'applicazione di metodi topologici (basati sulle teorie dei nodi, delle trecce e di Nielsen-Thurston) allo studio delle orbite transitorie, piuttosto che stazionarie, di oscillatori nonlineari forzati periodicamente. Tali applicazioni sono ristrette a sistemi aventi spazio delle fasi tridimensionale.

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Copyright information

© Kluwer Academic Publishers 1996

Authors and Affiliations

  • S. R. Bishop
    • 1
  • F. A. McRobie
    • 2
  1. 1.Centre for Nonlinear Dynamics and its ApplicationsUniversity College LondonLondonU.K.
  2. 2.Department of EngineeringUniversity of CambridgeCambridgeUK

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