Nonlinear Sciences – Chaotic Dynamics
Scientific paper
2005-01-25
Phys. Rev. E 72 (2005) 037205
Nonlinear Sciences
Chaotic Dynamics
5 pages, 3 figures, 2 tables (final version)
Scientific paper
10.1103/PhysRevE.72.037205
We analyze the size limits of coupled map lattices with diffusive coupling at the crossover of low-dimensional to high-dimensional chaos. We investigate the existence of standing-wave-type periodic patterns, within the low-dimensional limit, in addition to the stable synchronous chaotic states depending upon the initial conditions. Further, we bring out a controlling mechanism to explain the emergence of standing-wave patterns in the coupled map lattices. Finally, we give an analytic expression in terms of the unstable periodic orbits of the isolated map to represent the standing-wave patterns.
Lakshmanan Meenakshi
Muruganandam Paulsamy
Palaniyandi P.
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