Dynamics of inhomogeneous one--dimensional coupled map lattices

Details Dynamics of inhomogeneous one--dimensional coupled map lattices Dynamics of inhomogeneous one--dimensional coupled map lattices

2004-09-07

arxiv.org/abs/nlin/0409014v1

Nonlinear Sciences

Chaotic Dynamics

15 pages, 6 figures. Article is submitted to Physica D

Scientific paper

We study the dynamics of one--dimensional discrete models of one--component active medium built up of spatially inhomogeneous chains of diffusively coupled piecewise linear maps. The nonhomogeneities (``defects'') are treated in terms of parameter difference in the corresponding maps. Two types of space defects are considered: periodic and localized. We elaborate analytic approach to obtain the regions with the qualitatively different behaviour in the parametric space. For the model with space--periodic nonhomogeneities we found an exact boundary separating the regions of regular and chaotic dynamics. For the chain with a unique (localized) defect the numerical estimate is given. The effect of the nonhomegeneity on the global dynamics of the system is analyzed.

Affiliated with

Also associated with

No associations

Rating

Dynamics of inhomogeneous one--dimensional coupled map lattices 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 Dynamics of inhomogeneous one--dimensional coupled map lattices, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Dynamics of inhomogeneous one--dimensional coupled map lattices will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-533220