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Discussion on the Geometrie Structure of Strange Attractor

         

摘要

We discuss the tr&nsversal heteroclinic cycle formed by hyperbolic periodic points of diffeomorphism on the differential manifold.We point out tha,t every possible kind of transversal heteroclinic cycle has the Smsdehorse property and the unstable manifolds of hyperbolic periodic points have the closure relation mutually.Therefore the strange attractor may be the closure of unstable manifolds of a countable number of hyperbolic periodic points.The Henon mapping is used as an example to show that the conclusion is reasonable.

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