Nonlinear self-adapting wave patterns

David A. Kessler, Herbert Levine

Research output: Contribution to journalArticlepeer-review

Abstract

We propose a new type of traveling wave pattern, one that can adapt to the size of physical system in which it is embedded. Such a system arises when the initial state has an instability for a range of wavevectors, k, that extends down to k = 0, connecting at that point to two symmetry modes of the underlying dynamical system. The Min system of proteins in E. coli is such a system with the symmetry emerging from the global conservation of two proteins, MinD and MinE. For this and related systems, traveling waves can adiabatically deform as the system is increased in size without the increase in node number that would be expected for an oscillatory version of a Turing instability containing an allowed wavenumber band with a finite minimum.

Original languageEnglish
Article number122001
JournalNew Journal of Physics
Volume18
Issue number12
DOIs
StatePublished - Dec 2016

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy

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