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|Type:||Artigo de periódico|
|Title:||Relative rotation number for stochastic systems: dynamical and topological applications|
|Abstract:||We introduce a concept of relative rotation number to unify many different approaches of rotation number in non-linear dynamical systems. We present an ergodic result of existence a.s. for stochastic systems. In higher dimension, we show that the natural idea of projecting into a plane does work well a.s. for any plane (different from deterministic systems where projections may be degenerate). A number of further properties (invariance by homotopy and by conjugacy) and applications are presented.|
|Editor:||Taylor & Francis Ltd|
|Appears in Collections:||Artigos e Materiais de Revistas Científicas - Unicamp|
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