Complex dynamics of spiral waves and motion of curves
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Publication:1339287
DOI10.1016/0167-2789(94)90054-XzbMath0807.58043OpenAlexW1963994264MaRDI QIDQ1339287
Publication date: 1 December 1994
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0167-2789(94)90054-x
Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Applications of dynamical systems (37N99)
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Cites Work
- Unnamed Item
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- Unnamed Item
- Periodic to quasiperiodic transition of chemical spiral rotation
- Wave front interaction in steadily rotating spirals
- Dispersion of traveling waves in the Belousov-Zhabotinskij reaction
- Rotating spiral waves in a modified Fitz-Hugh-Nagumo model
- Rotating spiral waves in excitable media: the analytical results
- Spiral waves in the Belousov-Zhabotinskii reaction
- Spiral waves in a model of myocardium
- Singular perturbation theory of traveling waves in excitable media (A review)
- Kinematical theory of spiral waves in excitable media: Comparison with numerical simulations
- Spiral wave solutions for reaction-diffusion equations in a fast reaction/slow diffusion limit
- Foundations of synergetics. I: Distributed active systems
- Analysis of meandering in Zykov kinetics
- On the stability of steadily rotating waves in the free boundary formulation
- A Geometrical Theory for Spiral Waves in Excitable Media
- Varieties of spiral wave behavior: An experimentalist’s approach to the theory of excitable media
- The Korteweg–de Vries hierarchy as dynamics of closed curves in the plane
- Universal limit of spiral wave propagation in excitable media
- Integrability and the motion of curves
- Basic Concepts
- Some problems in the theory of quasilinear equations
- The growth of crystals and the equilibrium structure of their surfaces
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