Geodesic
Dynamics of Inhomogeneous Chains of Coupled Quadratic Maps
Teoretičeskaâ i matematičeskaâ fizika, Tome 132 (2002) no. 1, pp. 105-125

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A new effective local analysis method is elaborated for coupled map dynamics. In contrast to the previously suggested methods, it allows visually investigating the evolution of synchronization and complex-behavior domains for a distributed medium described by a set of maps. The efficiency of the method is demonstrated with examples of ring and flow models of diffusively coupled quadratic maps. An analysis of a ring chain in the presence of space defects reveals some new global-behavior phenomena.
Keywords: distributed media, space–time chaos, coupled-map lattices. 
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     author = {A. Yu. Loskutov and A. K. Prokhorov and S. D. Rybalko},
     title = {Dynamics of {Inhomogeneous} {Chains} of {Coupled} {Quadratic} {Maps}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {105--125},
     publisher = {mathdoc},
     volume = {132},
     number = {1},
     year = {2002},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2002_132_1_a6/}
}
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A. Yu. Loskutov; A. K. Prokhorov; S. D. Rybalko. Dynamics of Inhomogeneous Chains of Coupled Quadratic Maps. Teoretičeskaâ i matematičeskaâ fizika, Tome 132 (2002) no. 1, pp. 105-125. http://geodesic.mathdoc.fr/item/TMF_2002_132_1_a6/