Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/243021
Type: Artigo
Title: A family of rotation numbers for discrete random dynamics on the circle
Title Alternative: 
Author: Rodrigues, Christian S.
Ruffino, Paulo R.C.
Abstract: We revisit the problem of well-defining rotation numbers for discrete random dynamical systems on S-1. We show that, contrasting with deterministic systems, the topological (i.e. based on Poincare lifts) approach does depend on the choice of lifts (e.g., continuously for nonatomic randomness). Furthermore, the winding orbit rotation number does not agree with the topological rotation number. Existence and conversion formulae between these distinct numbers are presented. Finally, we prove a sampling in time theorem which recovers the rotation number of continuous Stratonovich stochastic dynamical systems on S-1 out of its time discretization of the flow.
We revisit the problem of well-defining rotation numbers for discrete random dynamical systems on S-1. We show that, contrasting with deterministic systems, the topological (i.e. based on Poincare lifts) approach does depend on the choice of lifts (e.g., continuously for nonatomic randomness). Furthermore, the winding orbit rotation number does not agree with the topological rotation number. Existence and conversion formulae between these distinct numbers are presented. Finally, we prove a sampling in time theorem which recovers the rotation number of continuous Stratonovich stochastic dynamical systems on S-1 out of its time discretization of the flow.
metadata.dc.description.abstractalternative: 
Subject: Teoria da bifurcação
Difeomorfismos
Country: Singapura
Editor: World Scientific
Citation: A Family Of Rotation Numbers For Discrete Random Dynamics On The Circle. World Scientific Publ Co Pte Ltd, v. 15, p. SEP-2015.
Rights: fechado
Identifier DOI: 10.1142/S0219493715500215
Address: http://www.worldscientific.com/doi/abs/10.1142/S0219493715500215
Date Issue: 2015
Appears in Collections:IMECC - Artigos e Outros Documentos

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