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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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

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spelling	doaj-bcac42c0e4d54b99a12924292289b5812020-11-24T23:30:06ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472004-01-0120043277290Localization of periodic orbits of autonomous systems based on high-order extremum conditionsStarkov Konstantin E.<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 on some ideas related to algebraically-dependent polynomials. Examples of the localization analysis of periodic orbits are presented including the Blasius equations, the generalized mass action (GMA) system, and the mathematical model of the chemical reaction with autocatalytic step.</p> http://www.hindawi.net/access/get.aspx?journal=mpe&volume=2004&pii=S1024123X04311038
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Starkov Konstantin E.
spellingShingle	Starkov Konstantin E. Localization of periodic orbits of autonomous systems based on high-order extremum conditions Mathematical Problems in Engineering
author_facet	Starkov Konstantin E.
author_sort	Starkov Konstantin E.
title	Localization of periodic orbits of autonomous systems based on high-order extremum conditions
title_short	Localization of periodic orbits of autonomous systems based on high-order extremum conditions
title_full	Localization of periodic orbits of autonomous systems based on high-order extremum conditions
title_fullStr	Localization of periodic orbits of autonomous systems based on high-order extremum conditions
title_full_unstemmed	Localization of periodic orbits of autonomous systems based on high-order extremum conditions
title_sort	localization of periodic orbits of autonomous systems based on high-order extremum conditions
publisher	Hindawi Limited
series	Mathematical Problems in Engineering
issn	1024-123X 1563-5147
publishDate	2004-01-01
description	<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 on some ideas related to algebraically-dependent polynomials. Examples of the localization analysis of periodic orbits are presented including the Blasius equations, the generalized mass action (GMA) system, and the mathematical model of the chemical reaction with autocatalytic step.</p>
url	http://www.hindawi.net/access/get.aspx?journal=mpe&volume=2004&pii=S1024123X04311038
work_keys_str_mv	AT starkovkonstantine localizationofperiodicorbitsofautonomoussystemsbasedonhighorderextremumconditions
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Localization of periodic orbits of autonomous systems based on high-order extremum conditions

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