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JOURNALS // Matematicheskii Sbornik // Archive

Mat. Sb., 1997 Volume 188, Number 11, Pages 3–18 (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

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.

UDC: 517.926

MSC: 34C05, 34C15, 34C30

Received: 19.02.1997

DOI: 10.4213/sm272


 English version:
Sbornik: Mathematics, 1997, 188:11, 1571–1586

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© Steklov Math. Inst. of RAS, 2024