Bifurcations in globally coupled map lattices
نویسندگان
چکیده
منابع مشابه
Bifurcations in Globally Coupled Map Lattices
The dynamics of globally coupled map lattices can be described in terms of a nonlinear Frobenius–Perron equation in the limit of large system size. This approach allows for an analytical computation of stationary states and their stability. The complete bifurcation behaviour of coupled tent maps near the chaotic band merging point is presented. Furthermore the time independent states of coupled...
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We propose a new method to investigate collective behavior in a network of globally coupled chaotic elements generated by a tent map. In the limit of large system size, the dynamics is described with the nonlinear FrobeniusPerron equation. This equation can be transformed into a simple form by making use of the piecewise linear nature of the individual map. Our method is applied successfully to...
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ژورنال
عنوان ژورنال: Journal of Statistical Physics
سال: 1995
ISSN: 0022-4715,1572-9613
DOI: 10.1007/bf02179397