Homoclinic intersections and Mel'nikov method for perturbed sine-Gordon equation

被引：0
|
作者：
Rothos, Vassilios M. [1 ,2 ]
机构：
[1] Department of Mathematical Sciences, Loughborough University, Loughborough LE11 3TU, United Kingdom
[2] Mathematics Institute, University of Warwick, Coventry CV4 7AL, United Kingdom
来源：
Dynamical Systems | 2001年 / 16卷 / 03期
关键词：
Boundary conditions - Chaos theory - Dynamics - Geometry - Mathematical models - Mathematical transformations - Partial differential equations - Perturbation techniques;
D O I：
10.1080/14689360109696237
中图分类号：
学科分类号：
摘要：
We describe and characterize rigorously the homoclinic structure of the perturbed sine-Gordon equation under periodic boundary conditions. The existence of invariant manifolds for a perturbed sine-Gordon equation is established. The Mel'nikov method, together with geometric analysis are used to assess the persistence of the homoclinic orbits under bounded and time-periodic perturbations.
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页码：279 / 302
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