Sporadicity and synchronization in one-dimensional asymmetrically coupled maps

Details Sporadicity and synchronization in one-dimensional asymmetrically coupled maps Sporadicity and synchronization in one-dimensional asymmetrically coupled maps

1994-10-27

arxiv.org/abs/cond-mat/9410102v1

Physics

Condensed Matter

9 pages + 3 figures (postscript appended uuencoded tar), IOP style (appended uuencoded compress)

Scientific paper

10.1088/0305-4470/28/17/008

A one-dimensional chain of sporadic maps with asymmetric nearest neighbour couplings is numerically studied. It is shown that in the region of strong asymmetry the system becomes spatially fully synchronized, even in the thermodinamic limit, while the Lyapunov exponent is zero. For weak asymmetry the synchronization is no more complete, and the Lyapunov exponent becomes positive. In addition one has a clear relation between temporal and spatial chaos, {\it i.e.}: a positive effective Lyapunov exponent corresponds to a lack of synchronization and {\it vice versa}

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