On the stability of double homoclinic and heteroclinic cycles

Authors:
Maoan Han;Shouchuan Hu;Xingbo Liu
Affiliations:
Department of Mathematics, Shanghai Jiao Tong University, 200030 Shanghai, China;Department of Mathematics, Southwest Missouri State University, Springfield, MO;Department of Mathematics, East China Normal University, 200062 Shanghai, China
Venue:
Nonlinear Analysis: Theory, Methods & Applications - Theory and methods
Year:
2003

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Abstract

In this paper we give a criterion for the stability of planar double homoclinic and heteroclinic cycles with one or two saddles in some degenerate case.