Ginzburg--Landau Spiral Waves in Circular and Spherical Geometries

Publication date: 4 March 2021

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.12935

zbMATH Keywords

global bifurcation complex Ginzburg-Landau equation $m$-armed spiral waves

Mathematics Subject Classification ID

Dynamical aspects of symmetries, equivariant bifurcation theory (37G40) Bifurcations in context of PDEs (35B32) Ginzburg-Landau equations (35Q56)

Related Items (2)

Ginzburg--Landau Patterns in Circular and Spherical Geometries: Vortices, Spirals, and Attractors ⋮ Pattern-selective feedback stabilization of Ginzburg-Landau spiral waves

Cites Work

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Rotating spiral waves in $\lambda -\omega $ systems on circular domains
Target pattern and spiral solutions to reaction-diffusion equations with more than one space dimension
Kinematical theory of spiral waves in excitable media: Comparison with numerical simulations
Abstract forced symmetry breaking and forced frequency locking of modulated waves
Target patterns and spirals in planar reaction-diffusion systems
The mixed boundary condition for the Ginzburg Landau model in thin films
Mathematical biology. Vol. 2: Spatial models and biomedical applications.
Self-organization of mobile populations in cyclic competition
The symmetry perspective. From equilibrium to chaos in phase space and physical space
Patterns and interfaces in dissipative dynamics. With a foreword by Y. Pomeau
Rotating spirals of curvature flows: a center manifold approach
Bifurcation from simple eigenvalues
Partial differential equations. IX: Elliptic boundary value problems. Transl. from the Russian
The world of the complex Ginzburg-Landau equation
A Geometrical Theory for Spiral Waves in Excitable Media
Spiral Waves for $\lambda -\omega $ Systems
Analysis and Approximation of the Ginzburg–Landau Model of Superconductivity
Rotating Spiral Wave Solutions of Reaction-Diffusion Equations
Bifurcation to Spiral Waves in Reaction-Diffusion Systems
The Existence of Spiral Waves in an Oscillatory Reaction-Diffusion System
Spiral Waves in Reaction-Diffusion Equations
Symmetric Spiral Patterns on Spheres

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