Nonlinear Sciences – Pattern Formation and Solitons
Scientific paper
2003-03-16
Physics Letters A, vol. 310, pp 415 - 422 (2003)
Nonlinear Sciences
Pattern Formation and Solitons
9 pages, 3 figures
Scientific paper
10.1016/S0375-9601(03)00447-X
We consider the pattern formation problem in coupled identical systems after the global synchronized state becomes unstable. Based on analytical results relating the coupling strengths and the instability of each spatial mode (pattern) we show that these spatial patterns can be selectively realized by varying the coupling strengths along different paths in the parameter space. Furthermore, we discuss the important role of the synchronized state (fixed point versus chaotic attractor) in modulating the temporal dynamics of the spatial patterns.
Chen Yonghong
Ding Mingzhou
Rangarajan Govindan
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