Pinning and locking of discrete wavesJeroen

  title={Pinning and locking of discrete wavesJeroen},
  author={Stephanie Lamb and Claudia Wul}
We discuss the behavior of rotating and traveling waves { such as traveling fronts and pulses { in partial diierential equations with continuous symmetry groups under perturbations that break the continuous symmetries but preserve some discrete (lattice) symmetries. Our theory provides a rigorous and universal framework for understanding pinning, depinning and locking of discrete rotating and traveling waves. 

From This Paper

Figures, tables, and topics from this paper.


Publications referenced by this paper.
Showing 1-10 of 14 references

Biophys. J

J Keizer, G D Smith, S Ponce Dawson, J Pearson
Biophys. J • 1998

Phys. Rev. Lett

I Mitkov, K Kladko, J E Pearson
Phys. Rev. Lett • 1998

Int. J. Bifurcations Chaos

S.-N Chow, J Mallet-Paret, E S Van Vleck
Int. J. Bifurcations Chaos • 1996

Phys. Rev E Phys. Rev. Lett

Y Braiman, F Family, G Hentschel
Phys. Rev E Phys. Rev. Lett • 1996

Phys. Rev. Lett. Math. J. DMV J. Nonl. Sc

D Barkley, B Fiedler, +3 authors Doc
Phys. Rev. Lett. Math. J. DMV J. Nonl. Sc • 1994

Nonlinear oscillations, dynamical systems, and bifurcations of vector elds

J Guckenheimer, P Holmes
AMS • 1990

SIAM J. Appl. Math. Physica D

J P Keener
SIAM J. Appl. Math. Physica D • 1987

When time breaks down

A T Winfree
When time breaks down • 1987

J. Fluid Mech

D Andereck, S S Liu, H L Swinney
J. Fluid Mech • 1986

Arnol'd, Geometric methods in the theory of ordinary diierential equations

GMW • 1982

Similar Papers

Loading similar papers…