Universality in Globally Coupled Maps and Flows

Details Universality in Globally Coupled Maps and Flows Universality in Globally Coupled Maps and Flows

2008-03-25

arxiv.org/abs/0803.3589v1

Nonlinear Sciences

Chaotic Dynamics

submitted to 13th Int. Conf. on Artificial Robotics and Intelligence, Ohita, Japan

Scientific paper

We show that universality in chaotic elements can be lifted to that in complex systems. We construct a globally coupled Flow lattice (GCFL), an analog of a globally coupled Map lattice (GCML). We find that Duffing GCFL shows the same behavior with GCML; population ratio between synchronizing clusters acts as a bifurcation parameter. Lorenz GCFL exhibits interesting two quasi-clusters in an opposite phase motion. Each of them looks like Will o' the wisp; they dance around in opposite phase.

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