SRB-Measures for Coupled Map Lattices

2005 ◽  
pp. 95-114 ◽  
Author(s):  
E Järvenpää
Keyword(s):  
Coupled Map Lattices ◽  
Srb Measures

On the Definition of SRB-Measures¶for Coupled Map Lattices

2001 ◽  
Vol 220 (1) ◽  
pp. 1-12 ◽  
Author(s):  
Esa Järvenpää ◽  
Maarit Järvenpää
Keyword(s):  
Coupled Map Lattices ◽  
Srb Measures ◽  
Definition Of

scholarly journals The set of points with Markovian symbolic dynamics for non-uniformly hyperbolic diffeomorphisms

2020 ◽  
pp. 1-26
Author(s):  
SNIR BEN OVADIA
Keyword(s):  
Symbolic Dynamics ◽  
Full Measure ◽  
Probability Measures ◽  
Positive Entropy ◽  
Surface Diffeomorphisms ◽  
Srb Measures ◽  
Hyperbolic Diffeomorphisms ◽  
Set Of Points ◽  
Math Phys ◽  
Homoclinic Classes

Abstract The papers [O. M. Sarig. Symbolic dynamics for surface diffeomorphisms with positive entropy. J. Amer. Math. Soc.26(2) (2013), 341–426] and [S. Ben Ovadia. Symbolic dynamics for non-uniformly hyperbolic diffeomorphisms of compact smooth manifolds. J. Mod. Dyn.13 (2018), 43–113] constructed symbolic dynamics for the restriction of $C^r$ diffeomorphisms to a set $M'$ with full measure for all sufficiently hyperbolic ergodic invariant probability measures, but the set $M'$ was not identified there. We improve the construction in a way that enables $M'$ to be identified explicitly. One application is the coding of infinite conservative measures on the homoclinic classes of Rodriguez-Hertz et al. [Uniqueness of SRB measures for transitive diffeomorphisms on surfaces. Comm. Math. Phys.306(1) (2011), 35–49].

scholarly journals Metastability and functional integration in anisotropically coupled map lattices

2008 ◽  
Vol 63 (2) ◽  
pp. 239-243 ◽  
Author(s):  
A. Pitti ◽  
M. Lungarella ◽  
Y. Kuniyoshi
Keyword(s):  
Functional Integration ◽  
Coupled Map Lattices

Symbolic Dynamics of Coupled Map Lattices

2006 ◽  
Vol 96 (3) ◽  
Author(s):  
Shawn D. Pethel ◽  
Ned J. Corron ◽  
Erik Bollt
Keyword(s):  
Symbolic Dynamics ◽  
Coupled Map Lattices

STABILITY OF STEADY STATE AND TRAVELING WAVES SOLUTIONS IN COUPLED MAP LATTICES

2008 ◽  
Vol 18 (01) ◽  
pp. 219-225 ◽  
Author(s):  
DANIEL TURZÍK ◽  
MIROSLAVA DUBCOVÁ
Keyword(s):  
Steady State ◽  
Essential Spectrum ◽  
Traveling Waves ◽  
Traveling Wave ◽  
Traveling Wave Solutions ◽  
Linear Operators ◽  
Coupled Map Lattices ◽  
Basic Tool ◽  
Wave Solutions ◽  
The Stability

We determine the essential spectrum of certain types of linear operators which arise in the study of the stability of steady state or traveling wave solutions in coupled map lattices. The basic tool is the Gelfand transformation which enables us to determine the essential spectrum completely.

An analytical construction of the SRB measures for Baker-type maps

1998 ◽  
Vol 8 (2) ◽  
pp. 424-443 ◽  
Author(s):  
S. Tasaki ◽  
Thomas Gilbert ◽  
J. R. Dorfman
Keyword(s):  
Srb Measures ◽  
Analytical Construction

Erratum: Statistical cycling in coupled map lattices

1995 ◽  
Vol 52 (2) ◽  
pp. 2119-2119
Author(s):  
Jérôme Losson ◽  
Michael C. Mackey
Keyword(s):  
Coupled Map Lattices
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