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The nonwandering set of a special system of differential equations

Published online by Cambridge University Press:  14 November 2011

V. A. Pliss
V. A. Pliss
Affiliation:
LOMI, Fontanka 27, Leningrad 191011, U.S.S.R
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Synopsis

In the theory of non-linear oscillations there occur systems with a small parameter in the derivatives and discontinuous forcing terms. Here we study such a system.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 118 , Issue 1-2 , 1991 , pp. 35 - 48
Copyright
Copyright © Royal Society of Edinburgh 1991

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References

1Ljashenko, I. J.. Ob odnoj theoreme rasdelenia systemi lineinih differentsialnih uravneniy. Dokl. Acad. Nauk 97 (1954), 000–000.Google Scholar
2Pliss, V. A.. Integral sets of periodic differential equation systems (in Russian), Nauka, Moscow, 1977.Google Scholar
3Pliss, V. A.. A set of linear systems of differential equations with uniformly bounded solutions, Differential Equations (Differentsial'nye Uravneniya), 16 (1980) w1023–1039.Google Scholar
4Palis, J.. On Morse-Smale dynamical systems. Topology 8 (1969) 385–404.CrossRefGoogle Scholar
5Pilugin, S. Ju. and Pliss, V. A.. The boundary of a stable invariant set of the Morse-Smale system, Differentsial'nye Uravneniya 14 (1978) 1997–2001.Google Scholar
6Palis, J. and Smale, S.. Structurally stable systems (preprint 1968).Google Scholar