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Critical dynamics in reversible forced pendulum chains

  • Chi-Tuong Pham
  • Marc Brachet
Conference paper
Part of the Nonlinear Phenomena and Complex Systems book series (NOPH, volume 9)

Abstract

Preliminary results on the behavior of a forced pendulum chain modified in order to obtain a tunable frequency gap in the dispersion relation are presented. The limit of vanishing frequency gap is considered. Discrepancy with previous results [Physica D 163 (2002) 127-149] are discussed.

Keywords

Dispersion Relation Bifurcation Diagram Unstable Mode Jump Condition Stable Branch 
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References

  1. 1.
    C.-T. Pham and M. Brachet. Dynamical scaling laws in two types of hamiltonian systems at disspation onset. Physica D, 163:127–149, 2002.MathSciNetADSzbMATHCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media Dordrecht 2004

Authors and Affiliations

  • Chi-Tuong Pham
    • 1
  • Marc Brachet
    • 1
  1. 1.Laboratoire de Physique Statistique — École Normale Supérieure — UMR 8550 Associé au CNRS et aux Universités Paris 6 et Paris 7Paris Cedex 05France

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