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1995 Stable periodic solutions of perturbed autonomous equations in one critical case
I. Fomenko, H. I. Freedman
Differential Integral Equations 8(5): 1135-1143 (1995).

Abstract

We consider an autonomous perturbation of an autonomous system of ordinary differential equations, when a periodic solution of the autonomous system has a nontrivial multiplier equal to $1$ or $-1$. We derive criteria for the perturbed system to have an orbitally asymptotically stable periodic solution using a technique of stable fixed points of monotone operators together with a bifurcation technique due to M.A. Krasnoselskii.

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I. Fomenko. H. I. Freedman. "Stable periodic solutions of perturbed autonomous equations in one critical case." Differential Integral Equations 8 (5) 1135 - 1143, 1995.

Information

Published: 1995
First available in Project Euclid: 20 May 2013

zbMATH: 0822.34046
MathSciNet: MR1325549

Subjects:
Primary: 34C25
Secondary: 34D20, 47H07, 47H15, 47N20

Rights: Copyright © 1995 Khayyam Publishing, Inc.

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Vol.8 • No. 5 • 1995
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