Existence and Stability of Steady Fronts in Bistable CML

Details Existence and Stability of Steady Fronts in Bistable CML Existence and Stability of Steady Fronts in Bistable CML

1995-11-07

arxiv.org/abs/patt-sol/9511001v1

Nonlinear Sciences

Pattern Formation and Solitons

18 pages, uuencoded PostScript file, J. Stat. Phys. (In press)

Scientific paper

10.1007/BF02179796

We prove the existence and we study the stability of the kink-like fixed points in a simple Coupled Map Lattice for which the local dynamics has two stable fixed points. The condition for the existence allows us to define a critical value of the coupling parameter where a (multi) generalized saddle-node bifurcation occurs and destroys these solutions. An extension of the results to other CML's in the same class is also displayed. Finally, we emphasize the property of spatial chaos for small coupling.

Affiliated with

Also associated with

No associations

Rating

Existence and Stability of Steady Fronts in Bistable CML 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 Existence and Stability of Steady Fronts in Bistable CML, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Existence and Stability of Steady Fronts in Bistable CML will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-67744