- Abstract:
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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...
Expand abstract - Publication status:
- Submitted
- Peer review status:
- Not peer reviewed
- Version:
- Author's Original
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(pdf, 2.0mb)
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- Publisher:
- Oxford University Press Publisher's website
- Journal:
- IMA Journal of Applied Mathematics Journal website
- Publication date:
- 2014-12-05
- EISSN:
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1464-3634
- ISSN:
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0272-4960
- URN:
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uuid:0226c7cc-b47b-4195-80fb-388ef80fa546
- Local pid:
- ora:9533
- Language:
- English
- Keywords:
- Subjects:
- Copyright holder:
- Peter Grindrod & Ebrahim L. Patel
- Copyright date:
- 2014
- Notes:
- © Peter Grindrod & Ebrahim L. Patel. This article has been accepted for publication in IMA Journal of Applied Mathematics Published by Oxford University Press. The published article record can be found here: http://ora.ox.ac.uk/objects/uuid:8b142ddd-c4da-4978-ac31-0e6dc87937b8
Journal article
Phase locking on the n-torus
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