Lattice Symmetry-Breaking Perturbations for Spiral Waves

DOI10.1137/140965077zbMath1312.34078arXiv1404.3688OpenAlexW2032847637MaRDI QIDQ2940734

Victor G. LeBlanc, Laurent Charette

Publication date: 20 January 2015

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.3688

zbMATH Keywords

latticebifurcationsspiral wavesforced symmetry-breaking

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Symmetries, invariants of ordinary differential equations (34C14) Bifurcation theory for ordinary differential equations (34C23) Dynamical aspects of symmetries, equivariant bifurcation theory (37G40) Invariant manifolds for ordinary differential equations (34C45) Asymptotic expansions of solutions to ordinary differential equations (34E05) Ordinary lattice differential equations (34A33)

Related Items (6)

Affine-periodic solutions by asymptotic method ⋮ Dynamics of Meandering Spiral Waves with Weak Lattice Perturbations ⋮ Rotating wave solutions to lattice dynamical systems I: the anti-continuum limit ⋮ Affine-periodic solutions for higher order differential equations ⋮ Rotational symmetry and rotating waves in planar integro-difference equations ⋮ Vortex pairs in the discrete nonlinear Schrödinger equation

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