On the maximum number of period annuli for second order conservative equations

We consider a second order scalar conservative differential equation whose potential function is a Morse function with a finite number of critical points and is unbounded at infinity. We give an upper bound for the number of nonglobal nontrivial period annuli of the equation and prove that the upper...

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Auteurs principaux:	Armands Gritsans, Inara Yermachenko
Format:	article
Langue:	EN
Publié:	Vilnius Gediminas Technical University 2021
Sujets:	conservative equation morse function period annulus binary tree Mathematics QA1-939
Accès en ligne:	https://doaj.org/article/fc54a7ad90ec49ea83dc9abd3dc3d582
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spelling	oai:doaj.org-article:fc54a7ad90ec49ea83dc9abd3dc3d5822021-11-29T09:14:00ZOn the maximum number of period annuli for second order conservative equations1392-62921648-351010.3846/mma.2021.13979https://doaj.org/article/fc54a7ad90ec49ea83dc9abd3dc3d5822021-11-01T00:00:00Zhttps://journals.vgtu.lt/index.php/MMA/article/view/13979https://doaj.org/toc/1392-6292https://doaj.org/toc/1648-3510We consider a second order scalar conservative differential equation whose potential function is a Morse function with a finite number of critical points and is unbounded at infinity. We give an upper bound for the number of nonglobal nontrivial period annuli of the equation and prove that the upper bound obtained is sharp. We use tree theory in our considerations.Armands GritsansInara YermachenkoVilnius Gediminas Technical Universityarticleconservative equationmorse functionperiod annulusbinary treeMathematicsQA1-939ENMathematical Modelling and Analysis, Vol 26, Iss 4, Pp 612-630 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	conservative equation morse function period annulus binary tree Mathematics QA1-939
spellingShingle	conservative equation morse function period annulus binary tree Mathematics QA1-939 Armands Gritsans Inara Yermachenko On the maximum number of period annuli for second order conservative equations
description	We consider a second order scalar conservative differential equation whose potential function is a Morse function with a finite number of critical points and is unbounded at infinity. We give an upper bound for the number of nonglobal nontrivial period annuli of the equation and prove that the upper bound obtained is sharp. We use tree theory in our considerations.
format	article
author	Armands Gritsans Inara Yermachenko
author_facet	Armands Gritsans Inara Yermachenko
author_sort	Armands Gritsans
title	On the maximum number of period annuli for second order conservative equations
title_short	On the maximum number of period annuli for second order conservative equations
title_full	On the maximum number of period annuli for second order conservative equations
title_fullStr	On the maximum number of period annuli for second order conservative equations
title_full_unstemmed	On the maximum number of period annuli for second order conservative equations
title_sort	on the maximum number of period annuli for second order conservative equations
publisher	Vilnius Gediminas Technical University
publishDate	2021
url	https://doaj.org/article/fc54a7ad90ec49ea83dc9abd3dc3d582
work_keys_str_mv	AT armandsgritsans onthemaximumnumberofperiodannuliforsecondorderconservativeequations AT inarayermachenko onthemaximumnumberofperiodannuliforsecondorderconservativeequations
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On the maximum number of period annuli for second order conservative equations

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