Multicomponent dynamical systems: SRB measures and phase transitions

Abstract

We discuss a notion of phase transitions in multicomponent systems and clarify relations between deterministic chaotic and stochastic models of this type of systems. Connections between various definitions of SRB measures are considered as well.

13 pages, LaTeX 2e

Cited by in corpus (7)

• Phase transitions in a piecewise expanding coupled map lattice with linear nearest neighbour coupling
• Ergodic theory of generic continuous maps
• Long range action in networks of chaotic elements
• Ergodic averaging with and without invariant measures
• Phase transition and correlation decay in Coupled Map Lattices
• Phase description of chaotic oscillators
• Role of unstable periodic orbits in phase transitions of coupled map lattices