THE INTERPLAY OF UNCORRELATED NOISE AND SMALL WORLD EFFECT ON PATTERN FORMATION IN TWO-DIMENSIONAL COUPLED MAP LATTICES
2012 ◽
Vol 26
(31)
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pp. 1250130
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Keyword(s):
By using a neuron-like map model to denote the generic dynamics of excitable systems, Gaussian-noise-induced pattern formation in the two-dimensional coupled map lattices with nearest-neighbor coupling and shortcut links has been studied. Given the appropriate initial values and parameter regions, with all nodes concerned, the functions of δ(n), χ and ℜ are introduced to analyze the evolution of pattern formation. It is found that there exists a critical εc beyond which the stable rotating spiral wave will appear. After introducing the Gaussian noise for the homogeneous ε region, different spatiotemporal stable patterns will be achieved. Additionally, the importance of the parameter I on the coupling strength C is discussed.
2002 ◽
Vol 12
(01)
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pp. 187-192
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2011 ◽
Vol 25
(12)
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pp. 1653-1670
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2004 ◽
Vol 15
(10)
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pp. 1425-1438
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1999 ◽
Vol 09
(10)
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pp. 2105-2126
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2018 ◽
Vol 536
◽
pp. 447-449
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2015 ◽
Vol 143
(24)
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pp. 244904
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