Existence of SRB Measures for A Class of Partially Hyperbolic Attractors in Banach spaces

2016/03/04 by Zeng Lian, Peidong Liu, Lian, Zeng +3
Engineering · Mathematics · Physics and Astronomy · #37C40 #37D45 #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #Quantum chaos and dynamical systems #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.1603.01582

openalex publication_date 2016/03/04 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

In this paper, we study the existence of SRB measures for infinite dimensional dynamical systems in a Banach space. We show that if the system has a partially hyperbolic attractor with nontrivial finite dimensional unstable directions, then it has an SRB measure.

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