Proposed Resolution of Theory-Experiment Discrepancy in Homoclinic Snaking
Authors:
- 7 September 2007
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 99 (10) , 104503
Abstract
In spatially extended Turing-unstable systems, parameter variation should, in theory, produce only fully developed patterns. In experiment, however, localized patterns or solitons sitting on a smooth background often appear. Addition of a nonlocal nonlinearity can resolve this discrepancy by tilting the “snaking” bifurcation diagram characteristic of such problems.Keywords
This publication has 18 references indexed in Scilit:
- Snakes and ladders: Localized states in the Swift–Hohenberg equationPhysics Letters A, 2007
- Asymptotics of Large Bound States of Localized StructuresPhysical Review Letters, 2006
- Localized states in the generalized Swift-Hohenberg equationPhysical Review E, 2006
- Localized patterns and hole solutions in one-dimensional extended systemsPhysica A: Statistical Mechanics and its Applications, 2005
- A new approach to data storage using localized structuresChaos: An Interdisciplinary Journal of Nonlinear Science, 2004
- Computationally determined existence and stability of transverse structures. II. Multipeaked cavity solitonsPhysical Review E, 2002
- Stable Static Localized Structures in One DimensionPhysical Review Letters, 2000
- Homoclinic orbits in reversible systems and their applications in mechanics, fluids and opticsPhysica D: Nonlinear Phenomena, 1998
- Pattern formation outside of equilibriumReviews of Modern Physics, 1993
- Front motion, metastability and subcritical bifurcations in hydrodynamicsPhysica D: Nonlinear Phenomena, 1986