Title of article
Exponential trichotomy and homoclinic bifurcation with saddle-center equilibrium
Author/Authors
Liu، نويسنده , , Xingbo، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2010
Pages
8
From page
409
To page
416
Abstract
In this paper the bifurcation of a homoclinic orbit is studied for an ordinary differential equation with periodic perturbation. Exponential trichotomy theory with the method of Lyapunov–Schmidt is used to obtain some sufficient conditions to guarantee the existence of homoclinic solutions and periodic solutions for this problem. Some known results are extended.
Keywords
Bifurcation , Saddle center , Homoclinic orbit , Exponential trichotomy , Lyapunov–Schmidt method
Journal title
Applied Mathematics Letters
Serial Year
2010
Journal title
Applied Mathematics Letters
Record number
1526719
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