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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Relative rotation number for stochastic systems: dynamical and topological applications

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Author(s):
Catuogno, Pedro J. [1] ; Ledesma, Diego Sebastian [1] ; Ruffino, Paulo R. C. [1]
Total Authors: 3
Affiliation:
[1] Univ Estadual Campinas, Dept Matemat, Campinas, SP - Brazil
Total Affiliations: 1
Document type: Journal article
Source: DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL; v. 23, n. 4, p. 425-435, 2008.
Web of Science Citations: 1
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. (AU)

FAPESP's process: 02/10246-2 - Control systems, dynamical systems, stochastic dynamical systems, Lie theory and differential geometry
Grantee:Luiz Antonio Barrera San Martin
Support Opportunities: Research Projects - Thematic Grants