Chaotic Behavior of Hénon Mapping

【摘要】 <正> There is an important criterion to check the chaotic behavior for a given discrete system defined by planar mapping. That is, the Smale-Birkhoff Theorem which says that a transversal homoclinic point implies chaos, see [5], [6]. Recently, [1] proved that a transversal N-cycle implies transversal homoclinic point.更多还原