Relative rotation number for stochastic systems: dynamical and topological applications

Autor(es)

Catuogno, Pedro J. ^[1] ; Ledesma, Diego Sebastian ^[1] ; Ruffino, Paulo R. C. ^[1]

Afiliação do(s) autor(es)

^[1] Univ Estadual Campinas, Dept Matemat, Campinas, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL; v. 23, n. 4, p. 425-435, 2008.
• Citações Web of Science: 1

Resumo

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. (AU)

• Processo FAPESP: 02/10246-2 - Geometria de sistemas de controle, sistemas dinâmicos e estocásticos
• Beneficiário: Luiz Antonio Barrera San Martin
• Linha de fomento: Auxílio à Pesquisa - Temático
• Processo FAPESP: 04/13758-0 - Topologia assintótica e geometria em sistemas dinâmicos estocásticos
• Beneficiário: Diego Sebastian Ledesma
• Linha de fomento: Bolsas no Brasil - Doutorado Direto