# American Institute of Mathematical Sciences

April  2007, 17(2): 281-292. doi: 10.3934/dcds.2007.17.281

## Hartman-Grobman theorems along hyperbolic stationary trajectories

 1 Instituto de Matemática-UFBA, Av. Ademar de Barros s/n, 40170-110 Salvador-BA, Brazil 2 Department of Mathematics, Southern Illinois University at Carbondale, Carbondale, Illinois 62901, United States 3 Departamento de Matemática, Universidade Estadual de Campinas, 13.081-970 - Campinas - SP, Brazil

Received  December 2005 Revised  September 2006 Published  November 2006

We extend the Hartman-Grobman theorems for 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 travelling neighborhoods of trajectories and neighborhoods of the origin in the corresponding tangent bundle. We present applications to deterministic dynamical systems.
Citation: Edson A. Coayla-Teran, Salah-Eldin A. Mohammed, Paulo Régis C. Ruffino. Hartman-Grobman theorems along hyperbolic stationary trajectories. Discrete & Continuous Dynamical Systems - A, 2007, 17 (2) : 281-292. doi: 10.3934/dcds.2007.17.281
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