Rotational symmetry breaking for spiral waves

DOI10.1088/0951-7715/15/4/311zbMath1017.34036OpenAlexW2048391191MaRDI QIDQ3147784

Victor G. LeBlanc

Publication date: 13 August 2003

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/15/4/311

zbMATH Keywords

bifurcationcenter manifoldsymmetry breakingrotating waves

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Neural biology (92C20) Symmetries, invariants of ordinary differential equations (34C14) Bifurcation theory for ordinary differential equations (34C23) Dynamical aspects of symmetries, equivariant bifurcation theory (37G40)

Related Items (6)

Art Winfree and the bidomain model of cardiac tissue ⋮ Dynamics of Meandering Spiral Waves with Weak Lattice Perturbations ⋮ Rotating wave solutions to lattice dynamical systems I: the anti-continuum limit ⋮ Spiral anchoring in media with multiple inhomogeneities: a dynamical system approach ⋮ Simulation of Electrophysiological Waves with an Unstructured Finite Element Method ⋮ Hopf bifurcation from relative periodic solutions; secondary bifurcations from meandering spirals

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