Scaling at the onset of chaos in a network of logistic maps with two types of global coupling

Details Scaling at the onset of chaos in a network of logistic maps with two types of global coupling Scaling at the onset of chaos in a network of logistic maps with two types of global coupling

2002-08-21

arxiv.org/abs/nlin/0208026v1

Nonlinear Sciences

Chaotic Dynamics

6 pages, 1 figure. Nonlinear Phenomena in Complex Systems (submitted)

Scientific paper

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.

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