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Phase locking on the n-torus

Abstract:

We discuss phase resetting behaviour when non-small, near instantaneous, perturbations are applied to a dynamical system containing a strong attractor that is equivalent to a winding map on an n-dimensional torus. Almost all of the literature to date has focused on the application of phase transition curves derivable for systems with attracting limit cycles, when n = 1, and the consequent possibilities for entrainment of the system subject to such periodic largish perturbations. In...

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Publication status:
Submitted
Peer review status:
Not peer reviewed
Version:
Author's Original

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Institution:
University of Oxford
Department:
Mathematical, Physical & Life Sciences Division - Mathematical Institute
More by this author
Institution:
University of Oxford
Department:
Mathematical, Physical & Life Sciences Division - Mathematical Institute
Publisher:
Oxford University Press Publisher's website
Journal:
IMA Journal of Applied Mathematics Journal website
Publication date:
2014-12-05
EISSN:
1464-3634
ISSN:
0272-4960
URN:
uuid:0226c7cc-b47b-4195-80fb-388ef80fa546
Local pid:
ora:9533

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