Phase Dynamics of Nearly Stationary Patterns in Activator-Inhibitor Systems

Details Phase Dynamics of Nearly Stationary Patterns in Activator-Inhibitor Systems Phase Dynamics of Nearly Stationary Patterns in Activator-Inhibitor Systems

2000-03-27

arxiv.org/abs/nlin/0003056v2

Nonlinear Sciences

Pattern Formation and Solitons

Scientific paper

10.1103/PhysRevE.61.6471

The slow dynamics of nearly stationary patterns in a FitzHugh-Nagumo model are studied using a phase dynamics approach. A Cross-Newell phase equation describing slow and weak modulations of periodic stationary solutions is derived. The derivation applies to the bistable, excitable, and the Turing unstable regimes. In the bistable case stability thresholds are obtained for the Eckhaus and the zigzag instabilities and for the transition to traveling waves. Neutral stability curves demonstrate the destabilization of stationary planar patterns at low wavenumbers to zigzag and traveling modes. Numerical solutions of the model system support the theoretical findings.

Affiliated with

Also associated with

No associations

Rating

Phase Dynamics of Nearly Stationary Patterns in Activator-Inhibitor Systems 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 Phase Dynamics of Nearly Stationary Patterns in Activator-Inhibitor Systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Phase Dynamics of Nearly Stationary Patterns in Activator-Inhibitor Systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-650761