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PERSISTENCE AND TRANSVERSALITY OF HOMOCLINIC ORBITS FOR DIFFEOMORPHISMS

PERSISTENCE AND TRANSVERSALITY OFHOMOCLINIC ORBITS FORDIFFEOMORPHISMS
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摘要 A generalized method combining the exponential dichotomy and the theory of transversality was used to give conditions for the persistence and transversality of homoclinic orbits under small perturbation for the diffeomorphisms. A generalized method combining the exponential dichotomy and the theory of transversality was used to give conditions for the persistence and transversality of homoclinic orbits under small perturbation for the diffeomorphisms.
出处 《Annals of Differential Equations》 2002年第4期330-343,共14页 微分方程年刊(英文版)
基金 Project Supported by NSFS (No.10071022).
关键词 exponential dichotomy invariant manifold homoclinic manifold Mel-nikov vector TRANSVERSALITY exponential dichotomy, invariant manifold, homoclinic manifold, Mel-nikov vector, transversality
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