An Interdisciplinary Journal

2002, Vol.5, No.2, pp.151-154

Scaling at the Onset of Chaos in a Network of Logistic Maps with Two Types of Global Coupling.
A.S. Ivanova and S.P. Kuznetsov

We study a network of logistic maps with two types of global coupling, inertial and dissipative. Features of the clusterization process are revealed and compared, which are associated with presence of each type of couplings. For the parameter region near the onset of chaos we outline scaling properties in dynamical behavior of the network and illustrate them on the Kaneko phase diagrams.
Key words: logistic map, global coupling, cluster, universality, scaling

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