Exponential Dichotomies and Homoclinic Orbits from Heteroclinic Cycles

Chen, Tiejun and Xiang, Yu and Chen, Yuxiao (2012) Exponential Dichotomies and Homoclinic Orbits from Heteroclinic Cycles. American Journal of Computational Mathematics, 02 (02). pp. 106-113. ISSN 2161-1203

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Official URL: https://doi.org/10.4236/ajcm.2012.22014

Abstract

In this paper, we investigate the homoclinic bifurcations from a heteroclinic cycle by using exponential dichotomies. We give a Melnikov—type condition assuring the existence of homoclinic orbits form heteroclinic cycle. We improve some important results.

Item Type:	Article
Subjects:	GO for STM > Mathematical Science
Depositing User:	Unnamed user with email support@goforstm.com
Date Deposited:	19 Jun 2023 07:25
Last Modified:	02 Nov 2023 05:33
URI:	http://archive.article4submit.com/id/eprint/1141

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