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Remarks on Braid Theory and the characterisation of periodic orbits

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Author

Summary, in English

The relationship between Braid Theory and the organisation of periodic orbits of dynamical systems is considered.



It is shown that for some (physically relevant) 3-d flows the characterisation of periodic orbits by means of Braid Theory can be done on the Poincaré surface in an efficient way. The result is a thread-less graphical presentation of a braid class.



We discuss extensions of this approach to (adequate) dynamical systems of dimension higher than three, using results from Central Manifold Theory.

Publishing year

1994

Language

English

Pages

511-529

Publication/Series

Journal of Knot Theory and its Ramifications

Volume

3

Issue

4

Document type

Journal article

Publisher

World Scientific Publishing

Topic

  • Mathematics

Status

Published

Research group

  • Analysis and Dynamics

ISBN/ISSN/Other

  • ISSN: 1793-6527