Multiple periodic solutions and complex dynamics for second order ODEs via linked twist maps

Multiple periodic solutions and complex dynamics for second order ODEs via linked twist maps

We consider some nonlinear second order scalar ODEs of the form $x'' + f(t,x) =0,$ where $f$ is periodic in the $t$-variable and show the existence of infinitely many periodic solutions as well as the presence of complex dynamics, even in the case of certain apparently "simple" e...

Full description

Bibliographic Details
Main Authors: A. Pascoletti, M. Pireddu, Fabio Zanolin
Format: Article
Language:English
Published: University of Szeged 2008-07-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=336
id doaj-380ff8c7160f47818d5e667acbaf4b26
record_format Article
spelling doaj-380ff8c7160f47818d5e667acbaf4b262021-07-14T07:21:19ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38751417-38752008-07-0120071413210.14232/ejqtde.2007.7.14336Multiple periodic solutions and complex dynamics for second order ODEs via linked twist mapsA. Pascoletti0M. Pireddu1Fabio Zanolin2University of Udine, ItalyUniversity of Udine, ItalyUniversity of Udine, Udine, ItalyWe consider some nonlinear second order scalar ODEs of the form $x'' + f(t,x) =0,$ where $f$ is periodic in the $t$-variable and show the existence of infinitely many periodic solutions as well as the presence of complex dynamics, even in the case of certain apparently "simple" equations. We employ a topological approach based on the study of linked twist maps (and suitable modifications of their geometry).http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=336
collection DOAJ
language English
format Article
sources DOAJ
author A. Pascoletti
M. Pireddu
Fabio Zanolin
spellingShingle A. Pascoletti
M. Pireddu
Fabio Zanolin
Multiple periodic solutions and complex dynamics for second order ODEs via linked twist maps
Electronic Journal of Qualitative Theory of Differential Equations
author_facet A. Pascoletti
M. Pireddu
Fabio Zanolin
author_sort A. Pascoletti
title Multiple periodic solutions and complex dynamics for second order ODEs via linked twist maps
title_short Multiple periodic solutions and complex dynamics for second order ODEs via linked twist maps
title_full Multiple periodic solutions and complex dynamics for second order ODEs via linked twist maps
title_fullStr Multiple periodic solutions and complex dynamics for second order ODEs via linked twist maps
title_full_unstemmed Multiple periodic solutions and complex dynamics for second order ODEs via linked twist maps
title_sort multiple periodic solutions and complex dynamics for second order odes via linked twist maps
publisher University of Szeged
series Electronic Journal of Qualitative Theory of Differential Equations
issn 1417-3875
1417-3875
publishDate 2008-07-01
description We consider some nonlinear second order scalar ODEs of the form $x'' + f(t,x) =0,$ where $f$ is periodic in the $t$-variable and show the existence of infinitely many periodic solutions as well as the presence of complex dynamics, even in the case of certain apparently "simple" equations. We employ a topological approach based on the study of linked twist maps (and suitable modifications of their geometry).
url http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=336
work_keys_str_mv AT apascoletti multipleperiodicsolutionsandcomplexdynamicsforsecondorderodesvialinkedtwistmaps
AT mpireddu multipleperiodicsolutionsandcomplexdynamicsforsecondorderodesvialinkedtwistmaps
AT fabiozanolin multipleperiodicsolutionsandcomplexdynamicsforsecondorderodesvialinkedtwistmaps
_version_ 1721303805494034432

Similar Items