On bi-Lyapunov stable homoclinic classes |
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| Authors: | A Arbieto B Carvalho W Cordeiro D J Obata |
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| Institution: | 1. Instituto de Matemática, Universidade Federal do Rio de Janeiro, P.O. Box 68530, 21945-970, Rio de Janeiro, RJ, Brazil
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| Abstract: | For a C 1 generic diffeomorphism if a bi-Lyapunov stable homoclinic class is homogeneous then it does not have weak eigenvalues. Using this, we show that such homoclinic classes are hyperbolic if it has one of the following properties: shadowing, specification or limit shadowing. |
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