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Synchronicity in coupled sine circle maps; some numerical results

✍ Scribed by Nandini Chatterjee; Neelima Gupte

Publisher: Elsevier Science
Year: 1996
Tongue: English
Weight: 479 KB
Volume: 224
Category: Article
ISSN: 0378-4371
DOI: 10.1016/0378-4371(95)00354-1

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✦ Synopsis

We study the spatially synchronised and temporally periodic orbits of a 1-d lattice of coupled sine circle maps. A numerical study of the synchronised solutions reveals synchronisation over large regions of parameter space. The entire devil's staircase of periodic orbits as seen for the single circle map is observed for the synchronised coupled sine circle map lattice. The parameter regions for which the synchronised solution is obtained are investigated for different types of initial conditions. These reveal interesting structures in the parameter space and appear to be symmetric about 12 = 0.5.

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In arbitrarily coupled dynamical systems (maps or ordinary differential equations), the stability of synchronized states (including equilibrium point, periodic orbit or chaotic attractor) and the formation of patterns from loss of stability of the synchronized states are two problems of current rese