Decelerating defects and non-ergodic critical behaviour in a unidirectionally coupled map lattice
Ashwin, Peter; Sturman, Rob
Date: 20 February 2003
Journal
Physics Letters A
Publisher
Elsevier
Publisher DOI
Abstract
We examine a coupled map lattice (CML) consisting of an infinite chain of logistic maps coupled in one direction by
inhibitory coupling. We find that for sufficiently strong coupling strength there are dynamical states with ‘decelerating defects’,
where defects between stable patterns (with chaotic temporal evolution and average ...
We examine a coupled map lattice (CML) consisting of an infinite chain of logistic maps coupled in one direction by
inhibitory coupling. We find that for sufficiently strong coupling strength there are dynamical states with ‘decelerating defects’,
where defects between stable patterns (with chaotic temporal evolution and average spatial period two) slow down but never
stop. These defects annihilate each other when they meet. We show for certain states that this leads to a lack of convergence
(non-ergodicity) of averages taken from observables in the system and conjecture that this is typical for these states.
Mathematics and Statistics
Faculty of Environment, Science and Economy
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