Hartman-Grobman Theorems along Hyperbolic Stationary Trajectories

Authors

Edson A. Coayla-Teran, Universidade Federal da Bahia
Salah-Eldin A. Mohammed, Southern Illinois University CarbondaleFollow
Paulo Régis C. Ruffino, Universidade Estadual de Campinas

Comments

This is a pre-copy-editing, author-produced PDF of an article accepted for publication in Discrete and Continuous Dynamical Systems - Series A following peer review. The definitive publisher-authenticated version "Hartman-Grobman theorems along hyperbolic stationary trajectories," Discrete and Continuous Dynamical Systems - Series A, 17(2), 281-292 is available online at: http://aimsciences.org/journals/dcdsA/online.jsp

Abstract

We extend the Hartman-Grobman theorems on discrete random dynamical systems (RDS), proved in [7], in two directions: For continuous RDS and for hyperbolic stationary trajectories. In this last case there exists a conjugacy between traveling neighbourhoods of trajectories and neighbourhoods of the origin in the corresponding tangent bundle. We present applications to deterministic dynamical systems.

Recommended Citation

Coayla-Teran, Edson A., Mohammed, Salah-Eldin A. and Ruffino, Paulo Régis C. "Hartman-Grobman Theorems along Hyperbolic Stationary Trajectories." (Feb 2007).