A study on limit cycle and non-homoclinic orbits for FitzHugh-Nagumo System
Author & Affiliation:
ALI E.M. SAEED (alikeria_math@yahoo.co.uk)
Department of Mathematics, Alzaem Alazhari University, Sudan
Keyword:
Li euf0a2nard equation, FitzHugh-Nagumo System, Limit cycle, Homoclinic orbits
Issue Date:
April, 2017
Abstract:
In this paper we investigate the complete FitzHugh-Nagumo System with I 0 . Based on the result in1,2 we discuss the non-existence of homoclinic orbits of the system. Further, we prove that the system has unique limit cycle under the conditions of existence of homoclinic orbits.
Pages:
156-163
ISSN:
2319-8044 (Online) - 2231-346X (Print)
Source:
DOI:
http://dx.doi.org/10.22147/jusps-A/290404
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Copy the following to cite this article:
A. E. Saeed, "A study on limit cycle and non-homoclinic orbits for FitzHugh-Nagumo System", Journal of Ultra Scientist of Physical Sciences, Volume 29, Issue 4, Page Number 156-163, 2017Copy the following to cite this URL:
A. E. Saeed, "A study on limit cycle and non-homoclinic orbits for FitzHugh-Nagumo System", Journal of Ultra Scientist of Physical Sciences, Volume 29, Issue 4, Page Number 156-163, 2017Available from: https://www.ultrascientist.org/paper/789/
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