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Teoreticheskaya i Matematicheskaya Fizika, 2000, Volume 124, Number 3, Pages 506–519
DOI: https://doi.org/10.4213/tmf654 (Mi tmf654) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Model of a spatially inhomogeneous one-dimensional active medium

K. A. Vasil'eva, A. Yu. Loskutovb, S. D. Rybalkoa, D. N. Udina

a M. V. Lomonosov Moscow State University
b M. V. Lomonosov Moscow State University, Faculty of Physics
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DOI: https://doi.org/10.4213/tmf654
Abstract: We investigate the dynamics of one-dimensional discrete models of a one-component active medium analytically. The models represent spatially inhomogeneous diffusively concatenated systems of one-dimensional piecewise-continuous maps. The discontinuities (the defects) are interpreted as the differences in the parameters of the maps constituting the model. Two classes of defects are considered: spatially periodic defects and localized defects. The area of regular dynamics in the space of the parameters is estimated analytically. For the model with a periodic inhomogeneity, an exact analytic partition into domains with regular and with chaotic types of behavior is found. Numerical results are obtained for the model with a single defect. The possibility of the occurrence of each behavior type for the system as a whole is investigated.
Received: 20.09.1999
Revised: 13.04.2000
English version:
Theoretical and Mathematical Physics, 2000, Volume 124, Issue 3, Pages 1286–1297
DOI: https://doi.org/10.1007/BF02551005
Bibliographic databases:
Language: Russian
Citation: K. A. Vasil'ev, A. Yu. Loskutov, S. D. Rybalko, D. N. Udin, “Model of a spatially inhomogeneous one-dimensional active medium”, TMF, 124:3 (2000), 506–519; Theoret. and Math. Phys., 124:3 (2000), 1286–1297
Citation in format AMSBIB
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\paper Model of a spatially inhomogeneous one-dimensional active medium
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\issue 3
\pages 506--519
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\jour Theoret. and Math. Phys.
\yr 2000
\vol 124
\issue 3
\pages 1286--1297
\crossref{https://doi.org/10.1007/BF02551005}
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  • https://www.mathnet.ru/eng/tmf/v124/i3/p506
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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