Competitively Coupled Maps and Spatial Pattern Formation

Details Competitively Coupled Maps and Spatial Pattern Formation Competitively Coupled Maps and Spatial Pattern Formation

2012-04-11

arxiv.org/abs/1204.2463v1

Nonlinear Sciences

Pattern Formation and Solitons

7 pages, 7 figures

Scientific paper

Spatial pattern formation is a key feature of many natural systems in physics, chemistry and biology. The essential theoretical issue in understanding pattern formation is to explain how a spatially homogeneous initial state can undergo spontaneous symmetry breaking leading to a stable spatial pattern. This problem is most commonly studied using partial differential equations to model a reaction-diffusion system of the type introduced by Turing. We report here on a much simpler and more robust model of spatial pattern formation, which is formulated as a novel type of coupled map lattice. In our model, the local site dynamics are coupled through a competitive, rather than diffusive, interaction. Depending only on the strength of the interaction, this competitive coupling results in spontaneous symmetry breaking of a homogeneous initial configuration and the formation of stable spatial patterns. This mechanism is very robust and produces stable pattern formation for a wide variety of spatial geometries, even when the local site dynamics is trivial.

Affiliated with

Also associated with

No associations

Rating

Competitively Coupled Maps and Spatial Pattern Formation does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Competitively Coupled Maps and Spatial Pattern Formation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Competitively Coupled Maps and Spatial Pattern Formation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-717116