Homoclinic snaking near a codimension-two Turing-Hopf bifurcation point in the Brusselator model

Localized Turing patterns in nonlinear optical cavities

(2012) G. Kozyreff   PHYSICA D-NONLINEAR PHENOMENA

Weakly subcritical stationary patterns: Eckhaus instability and homoclinic snaking

(2012) Hsien-Ching Kao et al.   PHYSICAL REVIEW E

Homoclinic Snakes Bounded by a Saddle-Center Periodic Orbit

(2012) A. R. Champneys et al.   SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS

Exponential asymptotics of homoclinic snaking

(2011) A D Dean et al.   NONLINEARITY

Swift-Hohenberg equation with broken cubic-quintic nonlinearity

(2011) S. M. Houghton et al.   PHYSICAL REVIEW E

Variational approximations to homoclinic snaking

(2011) H. Susanto et al.   PHYSICAL REVIEW E

Homoclinic Snaking of Localized Patterns in a Spatially Forced System

(2011) F. Haudin et al.   PHYSICAL REVIEW LETTERS

Snaking of radial solutions of the multi-dimensional Swift–Hohenberg equation: A numerical study

(2010) Scott McCalla et al.   PHYSICA D-NONLINEAR PHENOMENA

Defect-mediated snaking: A new growth mechanism for localized structures

(2010) Y.-P. Ma et al.   PHYSICA D-NONLINEAR PHENOMENA

To Snake or Not to Snake in the Planar Swift–Hohenberg Equation

(2010) Daniele Avitabile et al.   SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS

Interaction of Turing and Hopf Modes in the Superdiffusive Brusselator Model Near a Codimension Two Bifurcation Point

(2010) J. C. Tzou et al.   Mathematical Modelling of Natural Phenomena

Homoclinic snaking in bounded domains

(2009) S. M. Houghton et al.   PHYSICAL REVIEW E

Snakes, Ladders, and Isolas of Localized Patterns

(2009) Margaret Beck et al.   SIAM JOURNAL ON MATHEMATICAL ANALYSIS

Spatially localized structures in dissipative systems: open problems

(2008) E Knobloch   NONLINEARITY

Exponential asymptotics of localised patterns and snaking bifurcation diagrams

(2008) S.J. Chapman et al.   PHYSICA D-NONLINEAR PHENOMENA

Eckhaus instability and homoclinic snaking

(2008) A. Bergeon et al.   PHYSICAL REVIEW E

Local theory of the slanted homoclinic snaking bifurcation diagram

(2008) U. Bortolozzo et al.   PHYSICAL REVIEW E

Localized Hexagon Patterns of the Planar Swift–Hohenberg Equation

(2008) David J. B. Lloyd et al.   SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS

Turing Pattern Formation in the Brusselator Model with Superdiffusion

(2008) A. A. Golovin et al.   SIAM JOURNAL ON APPLIED MATHEMATICS