Remarks on Braid Theory and the characterisation of periodic orbits
Författare
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.
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.
Publiceringsår
1994
Språk
Engelska
Sidor
511-529
Publikation/Tidskrift/Serie
Journal of Knot Theory and its Ramifications
Volym
3
Issue
4
Länkar
Dokumenttyp
Artikel i tidskrift
Förlag
World Scientific Publishing
Ämne
- Mathematics
Status
Published
Forskningsgrupp
- Analysis and Dynamics
ISBN/ISSN/Övrigt
- ISSN: 1793-6527