Journal of East China Normal University(Natural Sc ›› 2006, Vol. 2006 ›› Issue (5): 13-23.
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SUN Ying, ZHU De-ming
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Abstract: This paper studied the dynamical behavior of a 4-dimensional reversible system near a heteroclinic loop connecting a saddle-focus equilibrium and a saddle one. An existence theorem concerning denumerable 1-homoclinic orbits and countable families of 1-periodic orbits was given under a generic condition; and an intuitionistic description about those orbits was also given.
Key words: homoclinic orbits, heteroclinic orbits, reversibility, saddle-focus
CLC Number:
O175.12
SUN Ying, ZHU De-ming. Reversible Homoclinic and Periodic Orbits Near Heteroclinic Loop[J]. Journal of East China Normal University(Natural Sc, 2006, 2006(5): 13-23.
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