We announce that a class of problems containing the classical periodically forced pendulum equation displays the main features of chaotic dynamics for a dense set of forcing terms in a space of periodic functions with zero mean value. The approach is based on global variational methods.
Si annuncia che una classe di problemi contenente l’equazione del pendolo forzato periodicamente presenta le principali caratteristiche della dinamica caotica per un insieme denso di termini forzanti nell’insieme delle funzioni periodiche a media nulla. I metodi sono di natura variazionale.
@article{RLIN_2001_9_12_2_107_0,
author = {Elena Bosetto and Enrico Serra and Susanna Terracini},
title = {Density of chaotic dynamics in periodically forced pendulum-type equations},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
volume = {12},
year = {2001},
pages = {107-113},
zbl = {1072.37048},
mrnumber = {1898453},
language = {en},
url = {http://dml.mathdoc.fr/item/RLIN_2001_9_12_2_107_0}
}
Bosetto, Elena; Serra, Enrico; Terracini, Susanna. Density of chaotic dynamics in periodically forced pendulum-type equations. Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni, Tome 12 (2001) pp. 107-113. http://gdmltest.u-ga.fr/item/RLIN_2001_9_12_2_107_0/
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