Homoclinic intersections and Mel'nikov method for perturbed sineGordon equation
نویسندگان
چکیده
منابع مشابه
Homoclinic Intersections and Mel'nikov Method for Perturbed sine -Gordon Equation
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. 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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ژورنال
عنوان ژورنال: Dynamical Systems: An International Journal
سال: 2001
ISSN: 1468-9367
DOI: 10.1080/14689360119924