Finite to infinite steady state solutions, bifurcations of an integro-differential equation

Details Finite to infinite steady state solutions, bifurcations of an integro-differential equation Finite to infinite steady state solutions, bifurcations of an integro-differential equation

2010-04-28

arxiv.org/abs/1004.5136v1

Mathematics

Dynamical Systems

Scientific paper

We consider a bistable integral equation which governs the stationary solutions of a convolution model of solid--solid phase transitions on a circle. We study the bifurcations of the set of the stationary solutions as the diffusion coefficient is varied to examine the transition from an infinite number of steady states to three for the continuum limit of the semi--discretised system. We show how the symmetry of the problem is responsible for the generation and stabilisation of equilibria and comment on the puzzling connection between continuity and stability that exists in this problem.

Affiliated with

Also associated with

No associations

Rating

Finite to infinite steady state solutions, bifurcations of an integro-differential equation 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 Finite to infinite steady state solutions, bifurcations of an integro-differential equation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Finite to infinite steady state solutions, bifurcations of an integro-differential equation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-284057