Exploring the Collective Behavior on the One-dimensional Quartic Map

Details Exploring the Collective Behavior on the One-dimensional Quartic Map Exploring the Collective Behavior on the One-dimensional Quartic Map

1998-02-11

arxiv.org/abs/chao-dyn/9802008v1

Nonlinear Sciences

Chaotic Dynamics

5 pages, 3 figures, Latex

Scientific paper

In this work we study numerically a lattice composed of two parameter single
quartic maps with local diffusive coupling. We find large regions over the
parameter space where the single quartic map is periodic and the coupled system
is not synchronized. We explore further one point on this region to show that
it presents a real non-trivial collective behavior.

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