§ 0. IntroductionOriginally, the definition of expansive homeomorphism was proposed in [9] as a concept in topological dynamics. Since then, it has been involved in some important topics in differentiate dynamics...§ 0. IntroductionOriginally, the definition of expansive homeomorphism was proposed in [9] as a concept in topological dynamics. Since then, it has been involved in some important topics in differentiate dynamics. For instance, the well-known Anosov diffeomorphism and the restriction of Smale’s horseshoe map on its fl-set are typical examples of expansive homeomorphisms. This concept has also been applied, for example, in ergodic theory110-1 and the theory of structural stability1-43. In the mathematical description of the strange attractorgcs:i, expansiveness is one of the展开更多
文摘§ 0. IntroductionOriginally, the definition of expansive homeomorphism was proposed in [9] as a concept in topological dynamics. Since then, it has been involved in some important topics in differentiate dynamics. For instance, the well-known Anosov diffeomorphism and the restriction of Smale’s horseshoe map on its fl-set are typical examples of expansive homeomorphisms. This concept has also been applied, for example, in ergodic theory110-1 and the theory of structural stability1-43. In the mathematical description of the strange attractorgcs:i, expansiveness is one of the
