Zou Yongkui
Abstract
In this paper we investigate the homoclinic bifurcation properties near an eight-figure homoclinic orbit of co-dimension two of a planar dynamical system. The corresponding local bifurcation diagram is also illustrated by numerical computation.
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In this paper we investigate the homoclinic bifurcation properties near an eight-figure homoclinic orbit of co-dimension two of a planar dynamical system. The corresponding local bifurcation diagram is also illustrated by numerical computation.
Key concepts: Homoclinic orbit, Homoclinic bifurcation, Heteroclinic orbit, Bifurcation diagram, Bifurcation, Orbit (dynamics), Bogdanov–Takens bifurcation, Mathematics