Effect of asynchronicity on the universal behaviour of coupled map lattices

Details Effect of asynchronicity on the universal behaviour of coupled map lattices Effect of asynchronicity on the universal behaviour of coupled map lattices

2002-05-10

arxiv.org/abs/nlin/0205020v1

Nonlinear Sciences

Chaotic Dynamics

15 pages (including 5 figures), submitted to Phys. Rev. Letts

Scientific paper

We investigate the spatiotemporal dynamics of coupled circle map lattices, evolving under synchronous (parallel) updating on one hand and asynchronous (random) updating rules on the other. Synchronous evolution of extended spatiotemporal systems, such as coupled circle map lattices, commonly yields multiple co-existing attractors, giving rise to phenomena strongly dependent on the initial lattice. By marked contrast numerical evidence here strongly indicates that asynchronous evolution eliminates most of the attractor states arising from special sets of initial conditions in synchronous systems, and tends to yield more global attractors. Thus the phenomenology arising from asynchronous evolution is more generic and robust in that it is obtained from many different classes of initial states. Further we show that in parameter regions where both asynchronous and synchronous evolution yield spatio-temporal intermittency, asynchronicity leads to better scaling behaviour.

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