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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2005, Volume 250, Pages 112–182
(Mi tm35)
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This article is cited in 4 scientific papers (total in 5 papers)
Buffer Phenomenon in Nonlinear Physics
A. Yu. Kolesova, E. F. Mishchenkob, N. Kh. Rozovc a P. G. Demidov Yaroslavl State University
b Steklov Mathematical Institute, Russian Academy of Sciences
c M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Abstract:
The buffer phenomenon is a property of a mathematical model of a nonlinear distributed system to have any predetermined finite number of attractors of the same type (stable equilibrium states, cycles, tori, etc.) for an appropriate choice of its parameters. A rigorous mathematical investigation of the buffer phenomenon has become possible due to the application and development of the apparatus of asymptotic analysis. The buffer property is typical for a wide class of mathematical models that describe many nonlinear processes in physics (radio physics, mechanics, optics, and combustion theory) and are represented by boundary value problems for systems of partial differential equations. The relationship between the buffer phenomenon and the onset of turbulence and dynamical chaos is traced.
Received in October 2004
Citation:
A. Yu. Kolesov, E. F. Mishchenko, N. Kh. Rozov, “Buffer Phenomenon in Nonlinear Physics”, Differential equations and dynamical systems, Collected papers, Trudy Mat. Inst. Steklova, 250, Nauka, MAIK «Nauka/Inteperiodika», M., 2005, 112–182; Proc. Steklov Inst. Math., 250 (2005), 102–168
Linking options:
https://www.mathnet.ru/eng/tm35 https://www.mathnet.ru/eng/tm/v250/p112
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