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Invariant surfaces of standard two-dimensional systems with conservative first approximation of the third order

Invariant surfaces of standard two-dimensional systems with conservative first approximation of... We simultaneously study two classes of two-dimensional time-periodic systems of differential equations with a small positive parameter, namely, systems with “slow” or “fast” time whose first-approximation systems are autonomous and conservative and do not contain terms of order higher than three. Thus, the corresponding unperturbed systems have one, two, or three rest points. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Differential Equations Springer Journals

Invariant surfaces of standard two-dimensional systems with conservative first approximation of the third order

Differential Equations , Volume 44 (1) – Jan 19, 2011

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References (2)

Publisher
Springer Journals
Copyright
Copyright © 2008 by Pleiades Publishing, Ltd.
Subject
Mathematics; Difference and Functional Equations; Partial Differential Equations; Ordinary Differential Equations
ISSN
0012-2661
eISSN
1608-3083
DOI
10.1134/S0012266108010011
Publisher site
See Article on Publisher Site

Abstract

We simultaneously study two classes of two-dimensional time-periodic systems of differential equations with a small positive parameter, namely, systems with “slow” or “fast” time whose first-approximation systems are autonomous and conservative and do not contain terms of order higher than three. Thus, the corresponding unperturbed systems have one, two, or three rest points.

Journal

Differential EquationsSpringer Journals

Published: Jan 19, 2011

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