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Homoclinics and chaotic behaviour for perturbed second order systems

Berti, M.
•
Bolle, P.
1999
  • journal article

Periodico
ANNALI DI MATEMATICA PURA ED APPLICATA
Abstract
This paper deals with perturbed dynamical systems of the form: −u ̈+u=∇V(u)+ε∇uW(t,u) where u(t)∈Rn(n⩾1). By means of a variational approach the existence of multibump homoclinics is proved under general assumptions on the Melnikov function. As a particular case, if (W; u) is T-periodic, the existence of approximate and complete Bernoulli shift structures is proved. An application to partial differential equations is also given.
DOI
10.1007/BF02506001
Archivio
http://hdl.handle.net/20.500.11767/13071
info:eu-repo/semantics/altIdentifier/scopus/2-s2.0-0001093655
https://link.springer.com/article/10.1007/BF02506001
Diritti
metadata only access
Soggetti
  • Hamiltonian System

  • Chaotic behavoiur

  • Implicit Function The...

  • Topological Entropy

  • Homoclinic orbit

  • Settore MAT/05 - Anal...

Scopus© citazioni
25
Data di acquisizione
Jun 14, 2022
Vedi dettagli
Visualizzazioni
8
Data di acquisizione
Apr 19, 2024
Vedi dettagli
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