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Guo, Y.; Zhao, Y.; Coca, D.; Billings, S.A. (2010)
Publisher: Automatic Control and Systems Engineering, University of Sheffield
Languages: English
Types: Book
A simple scalar coupled map lattice model for excitable media is intensively analysed in this paper. This model is used to explain the excitability of excitable media, and a Hopf-like bifurcation is employed to study the different spatio-temporal patterns produced by the model. Several basic rules for the construction of these kinds of models are proposed. Illustrative examples demonstrate that the sCML model is capable of generating complex spatiotemporal patterns.
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    • Barkley, D. [1991]. "A model for fast computer-simulation of waves in excitable media." Physica D, 49, 61-70.
    • Billings, S. A., &Coca, D. [2002]. "Identification of coupled map lattice models of deterministic distributed parameter systems." International Journal of Systems Science, 33, 623-634.
    • Chua, L. O. [2007]. A Nonlinear Dynamics Perspective of Wolfram's New Kind of Science, (World Scientific Publishing Co., Inc.).
    • Chua, L. O., &Yang, L. [1988]. "Cellular neural networks: Theory." IEEE transactions on circuits and systems, 35, 1257-1272.
    • Coca, D., &Billings, S. A. [2001]. "Identification of coupled map lattice models of complex spatio-temporal patterns." Physics Letters, Section A: General, Atomic and Solid State Physics, 20 287, 65-73.
    • Difrancesco, D., &Noble, D. [1985]. "A model of cardiac electrical activity incorporating ionic pumps and concentration changes." Philosophical Transactions of the Royal Society of London Series B-Biological Sciences, 307, 353-398.
    • Field, R. J., Noyes, R. M., &Koros, E. [1972]. "Oscillations in chemical systems 2. through analysis of temporal oscillation in bromate-cerium-malonic acid systems." Journal of the American Chemical Society, 94, 8649-64.
    • FitzHugh, R. [1955]. "Mathematical models of threshold phenomena in the nerve membrane." Bulletin of Mathematical Biology, 17, 257-278.
    • Fortuna, L., Arena, P., Bálya, D., &Zarándy, Á. [2001]. "Cellular Neural Networks: A Paradigm for Nonlinear Spatio-Temporal Processing." IEEE Circuits and Systems Magazine, 1, 6-21.
    • Gerhardt, M., Schuster, H., &Tyson, J. J. [1990]. "A cellular automaton model of excitable media including curvature and dispersion." Science, 247, 1563-1566.
    • Gierer, A., &Meinhard, H. [1972]. "Theory of biological pattern formation." Kybernetik, 12, 30-39.
    • Greenberg, J. M., &Hastings, S. P. [1978]. "Spatial patterns for discrete models of diffusion in excitable media." Siam Journal on Applied Mathematics, 34, 515-523.
    • Guo, Y., Zhao, Y., Billings, S. A., &Coca, D. [2010]. "Identification of excitable media using a scalar coupled map lattice model." International Journal of Bifurcation and Chaos, 20, 2137-2150.
    • Kawasaki, K., Suzuki, M., &Onuki, A. [1990]. "Formation, Dynamics, and Statistics of Patterns." World. Scientific.
    • Lee, K. J., Cox, E. C., &Goldstein, R. E. [1996]. "Competing Patterns of Signaling Activity in Dictyostelium Discoideum." Physical Review Letters, 76, 1174-1177.
    • Pan, Y., &Billings, S. A. [2008]. "The identification of complex spatiotemporal patterns using Coupled Map Lattice models." International Journal of Bifurcation and Chaos, 18, 997-1013.
    • Turing, A. M. [1952]. "The chemical basis of morphogenesis." Philosophical Transactions of the Royal Society of London Series B-Biological Sciences, 237, 37-72.
    • Wei, H. L., Billings, S. A., Zhao, Y. F., &Guo, L. Z. [2009]. "Lattice Dynamical Wavelet Neural Networks Implemented Using Particle Swarm Optimization for Spatio-Temporal System Identification." IEEE Transactions on Neural Networks, 20, 181-185.
    • Zhao, Y., Billings, S. A., &Routh, A. F. [2007]. "Identification of excitable media using cellular automata models." International Journal of Bifurcation and Chaos, 17, 153-168.
    • Zykov, V. S. [2008]. "Excitable media." Scholarpedia, 3, 1834.
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