横截环及其在Henon映射中的应用

TRANSVERSAL HETEROCLINIC CYCLES AND ITS APPLICATION IN HENON MAPPING

In this paper, We discuss the transversal heteroclinic cycle formed by the hyperbolic periodic points of diffemorphism on the differential manifold, point out every kind of the transversal heteroclinic cycles possesses Smale-horseshoes property, and the closure of unstable manifold of hyperbolic periodic points that form the transversal heteroclinic cycle are equal. we also make some discussion about strange attractor, eventually we use Henon mapping as example, point out the global structure formed by the closure is strange attractor that we usually say.