Hypermeander of spirals: local bifurcations and statistical properties
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Publication:5938563
DOI10.1016/S0167-2789(01)00296-2zbMath1049.92001OpenAlexW2020364713WikidataQ57943672 ScholiaQ57943672MaRDI QIDQ5938563
Matthew Nicol, Peter Ashwin, Ian Melbourne
Publication date: 22 July 2001
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0167-2789(01)00296-2
invariance principlecenter bundlelong-term Brownian-like motionnoncompact group symmetriesrigidly rotating spiral wavesTakens-Bogdanov bifurcation
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Cites Work
- On mixing properties of compact group extensions of hyperbolic systems
- Periodic to quasiperiodic transition of chemical spiral rotation
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- On the rate of mixing of Axiom A flows
- Transition to topological chaos for circle maps
- Kinematical theory of spiral waves in excitable media: Comparison with numerical simulations
- Analysis of meandering in Zykov kinetics
- Deterministic Brownian motion in the hypermeander of spiral waves
- Normal forms, resonances, and meandering tip motions near relative equilibria of Euclidean group actions
- Stable ergodicity of skew extensions by compact Lie groups
- Bifurcation from relative equilibria of noncompact group actions: Skew products, meanders, and drifts
- Dynamics of spiral waves on unbounded domains using center-manifold reductions
- Meandering of the spiral tip: an alternative approach
- Hopf bifurcation from rotating waves and patterns in physical space
- Euclidean extensions of dynamical systems
- SPIRAL WAVE MEANDER AND SYMMETRY OF THE PLANE
- Approximation by Brownian motion for Gibbs measures and flows under a function
- Noncompact drift for relative equilibria and relative periodic orbits
- Almost sure invariance principles for partial sums of weakly dependent random variables
- Bifurcation to Spiral Waves in Reaction-Diffusion Systems
- Prevalence of rapid mixing in hyperbolic flows
- Drift bifurcations of relative equilibria and transitions of spiral waves
- Center-manifold reduction for spiral waves
- A SURVEY OF SPIRAL-WAVE BEHAVIORS IN THE OREGONATOR MODEL
- Varieties of spiral wave behavior: An experimentalist’s approach to the theory of excitable media
- Decay of correlations, central limit theorems and approximation by Brownian motion for compact Lie group extensions
- Prevalence of rapid mixing—II: topological prevalence
- Equilibrium states and the ergodic theory of Anosov diffeomorphisms
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