Variational approximations to homoclinic snaking in continuous and discrete systems

Details Variational approximations to homoclinic snaking in continuous and discrete systems Variational approximations to homoclinic snaking in continuous and discrete systems

2011-05-26

arxiv.org/abs/1105.5268v1

Nonlinear Sciences

Pattern Formation and Solitons

submitted. Comments are welcome

Scientific paper

Localised structures appear in a wide variety of systems, arising from a pinning mechanism due to the presence of a small-scale pattern or an imposed grid. When there is a separation of lengthscales, the width of the pinning region is exponentially small and beyond the reach of standard asymptotic methods. We show how this behaviour can be obtained using a variational method, for two systems. In the case of the quadratic-cubic Swift-Hohenberg equation, this gives results that are in agreement with recent work using exponential asymptotics. Secondly, the method is applied to a discrete system with cubic-quintic nonlinearity, giving results that agree well with numerical simulations.

Affiliated with

Also associated with

No associations

Rating

Variational approximations to homoclinic snaking in continuous and discrete 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 Variational approximations to homoclinic snaking in continuous and discrete systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Variational approximations to homoclinic snaking in continuous and discrete systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-217932