Display Abstract

Title Localised pattern formation with a nonlinear nonlocal term

Name Jonathan H Dawes
Country England
Email J.H.P.Dawes@bath.ac.uk
Co-Author(s) David Morgan (Bath)
Submit Time 2014-02-28 19:04:16
Session
Special Session 13: Nonlocally coupled dynamical systems: Analysis and applications
Contents
The formation and dynamics of localised patterns has been investigated in considerable detail in recent years. I will describe the influence of a nonlocal nonlinear term added to the well-known Swift-Hohenberg model equation. Although in some sense a nonlocal term allows a smooth transition between purely local and completely global coupling, the transition between these two limiting states turns out not to be as straightforward as one might imagine.