Tame dynamics and robust transitivity chain-recurrence classes versus homoclinic classes
نویسندگان
چکیده
منابع مشابه
Tame Dynamics and Robust Transitivity
One main task of smooth dynamical systems consists in finding a good decomposition into elementary pieces of the dynamics. This paper contributes to the study of chain-recurrence classes. It is known that Cgenerically, each chain-recurrence class containing a periodic orbit is equal to the homoclinic class of this orbit. Our result implies that in general this property is fragile. We build a C-...
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We modify the definition of robust chains from [25] as an approach to formalizing the Finite Sub-model Property (see [21], for example) from the perspective of a class of finite structures with a generic model (i.e. having the Amalgamation and Joint-embedding properties). We characterize this formulation, which we call super-robustness, modulo a weaker condition (that is closer to the the situa...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 2014
ISSN: 0002-9947,1088-6850
DOI: 10.1090/s0002-9947-2014-06261-2