Localization of periodic orbits of autonomous systems based on high-order extremum conditions

<p>This paper gives localization and nonexistence conditions of periodic orbits in some subsets of the state space. Mainly, our approach is based on high-order extremum conditions, on high-order tangency conditions of a nonsingular solution of a polynomial system with an algebraic surface, and...

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Bibliographic Details
Main Author: Starkov Konstantin E.
Format: Article
Language:English
Published: Hindawi Limited 2004-01-01
Series:Mathematical Problems in Engineering
Online Access:http://www.hindawi.net/access/get.aspx?journal=mpe&volume=2004&pii=S1024123X04311038