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Limit cycle function of the second kind for autonomous systems on the cylinder

Limit cycle function of the second kind for autonomous systems on the cylinder The earlier-developed approach to the solution of the problem of estimating the number of limit cycles and their localization for autonomous systems on the plane with the use of Dulac and Poincaré auxiliary functions is generalized to autonomous systems of differential equations with cylindrical phase surface. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Differential Equations Springer Journals

Limit cycle function of the second kind for autonomous systems on the cylinder

Differential Equations , Volume 47 (4) – Jun 5, 2011

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References (21)

Publisher
Springer Journals
Copyright
Copyright © 2011 by Pleiades Publishing, Ltd.
Subject
Mathematics; Difference and Functional Equations; Ordinary Differential Equations; Partial Differential Equations
ISSN
0012-2661
eISSN
1608-3083
DOI
10.1134/S0012266111040021
Publisher site
See Article on Publisher Site

Abstract

The earlier-developed approach to the solution of the problem of estimating the number of limit cycles and their localization for autonomous systems on the plane with the use of Dulac and Poincaré auxiliary functions is generalized to autonomous systems of differential equations with cylindrical phase surface.

Journal

Differential EquationsSpringer Journals

Published: Jun 5, 2011

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