Density of chaotic dynamics in periodically forced pendulum-type equations

Elena Bosetto; Enrico Serra; Susanna Terracini

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni (2001)

  • Volume: 12, Issue: 2, page 107-113
  • ISSN: 1120-6330

Abstract

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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.

How to cite

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Bosetto, Elena, Serra, Enrico, and 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 12.2 (2001): 107-113. <http://eudml.org/doc/252302>.

@article{Bosetto2001,
abstract = {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.},
author = {Bosetto, Elena, Serra, Enrico, Terracini, Susanna},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {Heteroclinic solutions; Variational Methods; Implicit Function Theorem; heteroclinic solutions; varational methods; implicit function theorem},
language = {eng},
month = {6},
number = {2},
pages = {107-113},
publisher = {Accademia Nazionale dei Lincei},
title = {Density of chaotic dynamics in periodically forced pendulum-type equations},
url = {http://eudml.org/doc/252302},
volume = {12},
year = {2001},
}

TY - JOUR
AU - Bosetto, Elena
AU - Serra, Enrico
AU - Terracini, Susanna
TI - Density of chaotic dynamics in periodically forced pendulum-type equations
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 2001/6//
PB - Accademia Nazionale dei Lincei
VL - 12
IS - 2
SP - 107
EP - 113
AB - 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.
LA - eng
KW - Heteroclinic solutions; Variational Methods; Implicit Function Theorem; heteroclinic solutions; varational methods; implicit function theorem
UR - http://eudml.org/doc/252302
ER -

References

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