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Sbornik: Mathematics, 1997, Volume 188, Issue 11, Pages 1571–1586
DOI: https://doi.org/10.1070/sm1997v188n11ABEH000272 (Mi sm272) 		 
Chaos of 'split torus' type in three-dimensional relaxation systems

A. Yu. Kolesova, Yu. S. Kolesova, N. Kh. Rozovb

a P. G. Demidov Yaroslavl State University
b M. V. Lomonosov Moscow State University
English version PDF (218 kB) Russian version article
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DOI: https://doi.org/10.1070/sm1997v188n11ABEH000272
Abstract: For a three-dimensional singularly perturbed system of ordinary differential equations with two slow variables and one fast variable conditions are indicated under which stochastic behaviour of the solutions is observed. This phenomenon is called chaos of 'split torus' type.
Received: 19.02.1997
Bibliographic databases:
UDC: 517.926
MSC: 34C05, 34C15, 34C30
Language: English
Original paper language: Russian
Citation: A. Yu. Kolesov, Yu. S. Kolesov, N. Kh. Rozov, “Chaos of 'split torus' type in three-dimensional relaxation systems”, Sb. Math., 188:11 (1997), 1571–1586
Citation in format AMSBIB
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\paper Chaos of 'split torus' type in three-dimensional relaxation systems
\jour Sb. Math.
\yr 1997
\vol 188
\issue 11
\pages 1571--1586
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