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Transversal heteroclinic orbits in general degenerate cases 被引量:2

Transversal heteroclinic orbits in general degenerate cases
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摘要 A geometrical method using the exponential dichotomy and the invariant manifold thoery is given to set up the criteria for the existence of transversal and tangential heterodinic orbits under the most general degenerate cases. Conclusions given here extend and contain the relevant known results. A geometrical method using the exponential dichotomy and the invariant manifold thoery is given to set up the criteria for the existence of transversal and tangential heterodinic orbits under the most general degenerate cases. Conclusions given here extend and contain the relevant known results.
作者 朱德明
出处 《Science China Mathematics》 SCIE 1996年第2期113-121,共9页 中国科学:数学(英文版)
基金 Project supported by the National Natural Science Foundation of China.
关键词 exponential DICHOTOMY invariant manifold HETEROCLINIC orbit MELNIKOV vector transversality. exponential dichotomy, invariant manifold, heteroclinic orbit, Melnikov vector, transversality.
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