Geodesic
Spatiotemporal pattern of prey-predator system simulation in external fluctuate environment
Matematičeskoe modelirovanie, Tome 22 (2010) no. 10, pp. 3-17

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The influence of multiplicative fluctuations on pattern formation were researched. It was received the system which described interaction of undamped modes when soft mode instability were developed. It was shown that the fluctuations of parameters leads to changing of eigenvalues of unstable modes and parametric excitation of system. The computational modeling of spatial structures evolution were conducted. Changing of fluctuating level of dynamic variables in process of dissipative pattern formation which conditioned by changing of external random field parameters were investigated. The computational modeling of evolution of spiral waves and complex autowave patterns in external random field were researched. The spiral tip drift trajectories were classified.
Keywords: multiplicative fluctuations of parameters, noise-induced parametrical excitation of Turing patterns, Ginzburg–Landau equation, numerical modeling.
Mots-clés : spatial and spatiotemporal pattern formation, unstable modes 
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     author = {S. E. Kurushina and A. A. Ivanov and Yu. V. Zhelnov and I. P. Zavershinskii and V. V. Maximov},
     title = {Spatiotemporal pattern of prey-predator system simulation in external fluctuate environment},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {3--17},
     publisher = {mathdoc},
     volume = {22},
     number = {10},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2010_22_10_a0/}
}
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S. E. Kurushina; A. A. Ivanov; Yu. V. Zhelnov; I. P. Zavershinskii; V. V. Maximov. Spatiotemporal pattern of prey-predator system simulation in external fluctuate environment. Matematičeskoe modelirovanie, Tome 22 (2010) no. 10, pp. 3-17. http://geodesic.mathdoc.fr/item/MM_2010_22_10_a0/