A dynamical systems approach to spiral wave dynamics
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Publication:4526310
DOI10.1063/1.166023zbMath1055.37590OpenAlexW2012825614WikidataQ52371430 ScholiaQ52371430MaRDI QIDQ4526310
Ioannis G. Kevrekidis, Dwight Barkley
Publication date: 16 January 2001
Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/2152/43233
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Cites Work
- Periodic to quasiperiodic transition of chemical spiral rotation
- Wave front interaction in steadily rotating spirals
- Waves and patterns in chemical and biological media. Papers from the International Research Workshop on Waves and Patterns in Biological and Chemical Excitable Media held in Pushchino, May 28--June 1, 1990.
- Spiral waves in the Belousov-Zhabotinskii reaction
- Dynamics and symmetry. Predictions for modulated waves in rotating fluids
- 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
- Analysis of meandering in Zykov kinetics
- Theory of the spiral core in excitable media
- The Core of the Spiral
- 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
- Universal limit of spiral wave propagation in excitable media
