Hyperbolic Dynamics in Two Dimensional Maps
نویسندگان
چکیده
In this paper, we study the theory of hyperbolic dynamical systems, especially the dynamics of two-dimensional Hénon map. A remarkable fact is that the system with complicated orbit behavior (like the “horseshoe”) can be structurally stable that hyperbolicity is a necessary condition for structural stability. We discuss the horizontal and vertical slabs in a diffeomorphism on which the induced dynamics is topologically conjugate to a full shift. Using these slabs, we provide the sufficient condition for chaos on the Hénon map
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تاریخ انتشار 2012