Remarks on Braid Theory and the characterisation of periodic orbits
(1994) In Journal of Knot Theory and its Ramifications 3(4). p.511-529- Abstract
- 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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/1263679
- author
- Natiello, Mario LU and Solari, Hernan
- organization
- publishing date
- 1994
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Journal of Knot Theory and its Ramifications
- volume
- 3
- issue
- 4
- pages
- 511 - 529
- publisher
- World Scientific Publishing
- ISSN
- 1793-6527
- DOI
- 10.1142/S021821659400037X
- language
- English
- LU publication?
- no
- id
- 8ae23a08-6090-4daf-b0b7-ab6730f126c6 (old id 1263679)
- alternative location
- http://s021821659400037x.pdf/
- date added to LUP
- 2016-04-04 07:42:50
- date last changed
- 2020-05-26 15:05:40
@article{8ae23a08-6090-4daf-b0b7-ab6730f126c6, abstract = {{The relationship between Braid Theory and the organisation of periodic orbits of dynamical systems is considered.<br/><br> <br/><br> 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.<br/><br> <br/><br> We discuss extensions of this approach to (adequate) dynamical systems of dimension higher than three, using results from Central Manifold Theory.}}, author = {{Natiello, Mario and Solari, Hernan}}, issn = {{1793-6527}}, language = {{eng}}, number = {{4}}, pages = {{511--529}}, publisher = {{World Scientific Publishing}}, series = {{Journal of Knot Theory and its Ramifications}}, title = {{Remarks on Braid Theory and the characterisation of periodic orbits}}, url = {{http://dx.doi.org/10.1142/S021821659400037X}}, doi = {{10.1142/S021821659400037X}}, volume = {{3}}, year = {{1994}}, }