Dynamics of spiral waves on unbounded domains using center-manifold reductions
From MaRDI portal
Publication:1377545
DOI10.1006/jdeq.1997.3326zbMath0888.35053OpenAlexW1982293853WikidataQ60143941 ScholiaQ60143941MaRDI QIDQ1377545
Claudia Wulff, Arnd Scheel, Björn Sandstede
Publication date: 16 February 1998
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jdeq.1997.3326
Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) Invariance and symmetry properties for PDEs on manifolds (58J70) Group-invariant bifurcation theory in infinite-dimensional spaces (58E09)
Related Items (31)
Meandering Spirals ⋮ Bifurcations to travelling planar spots in a three-component FitzHugh-Nagumo system ⋮ Invasion pinning in a periodically fragmented habitat ⋮ A geometric characterisation of resonance in Hopf bifurcation from relative equilibria ⋮ Spectral analysis of localized rotating waves in parabolic systems ⋮ Subcritical bifurcation to infinitely many rotating waves ⋮ Meandering of the spiral tip: an alternative approach ⋮ Spiral Waves: Linear and Nonlinear Theory ⋮ Exact coherent structures and chaotic dynamics in a model of cardiac tissue ⋮ Continuous symmetry reduction and return maps for high-dimensional flows ⋮ Phase Reduction of Waves, Patterns, and Oscillations Subject to Spatially Extended Noise ⋮ Dynamics of Meandering Spiral Waves with Weak Lattice Perturbations ⋮ Depinning of Traveling Waves in Ergodic Media ⋮ Rotating wave solutions to lattice dynamical systems I: the anti-continuum limit ⋮ Rotating wave solutions to lattice dynamical systems II: persistence results ⋮ Spiral anchoring in media with multiple inhomogeneities: a dynamical system approach ⋮ ON BIFURCATIONS OF SPIRAL WAVES IN THE PLANE ⋮ Hypermeander of spirals: local bifurcations and statistical properties ⋮ Corner defects in almost planar interface propagation ⋮ Classification of steady solutions of the full kinematic model ⋮ Rotating spiral waves in \(\lambda -\omega \) systems on circular domains ⋮ Hopf bifurcations from relative equilibria in spherical geometry ⋮ Unfolding symmetric Bogdanov-Takens bifurcations for front dynamics in a reaction-diffusion system ⋮ Pinning and locking of discrete waves ⋮ Dynamics of Patterns in Nonlinear Equivariant PDEs ⋮ Computation and stability of waves in equivariant evolution equations ⋮ Pulsating and Rotating Spirals in a Delayed Feedback Diffractive Nonlinear Optical System ⋮ Rotational symmetry and rotating waves in planar integro-difference equations ⋮ Vortex pairs in the discrete nonlinear Schrödinger equation ⋮ Hopf bifurcation from fronts in the Cahn-Hilliard equation ⋮ Stochastic rotating waves
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Periodic to quasiperiodic transition of chemical spiral rotation
- Semigroups of linear operators and applications to partial differential equations
- Geometric theory of semilinear parabolic equations
- Normally hyperbolic invariant manifolds in dynamical systems
- Bifurcation from relative equilibria of noncompact group actions: Skew products, meanders, and drifts
- Meandering of the spiral tip: an alternative approach
- Bifurcations of Relative Equilibria
- Noncompact drift for relative equilibria and relative periodic orbits
- Center-manifold reduction for spiral waves
- Invariant manifolds
This page was built for publication: Dynamics of spiral waves on unbounded domains using center-manifold reductions
