Chaos and Three-Frequency Resonaces in a Dynamcal System

  • S. Blanco
  • D. Gonzalez
  • O. A. Rosso
  • F. Sportolari
Part of the Nonlinear Phenomena and Complex Systems book series (NOPH, volume 1)

Abstract

The behavior of two parametrically coupled nonlinear oscillators driven by two periodically independent forces is studied. Three-frequency quasiperiodic resonances are observed. An anzat based on a generalized Farey Sum operation between fraction of real numbers is given for the hierarchical arrangement of the stability width of three-frequency resonances.

Keywords

Lyapunov Exponent Nonlinear Oscillator Chaotic Motion Linear Oscillator Hierarchical Order 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    D.L. Gonzalez and O. Piro, Phys. Rev. Lett. 50, 870 (1983).MathSciNetADSCrossRefGoogle Scholar
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    J.P. Ekmann, S. Oliffson Kamphorst, D. Ruelle and S. Ciliberto, Phys. Rev. A 34, 4871 (1986).Google Scholar
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    A.J. Khinchin, Continued Fractions ( University of Chicago, Chicago, 1964 ).MATHGoogle Scholar
  4. 4.
    D.L. Gonzalez, O.A. Rosso, F. Sportolari and L. Morettini, to be published.Google Scholar

Copyright information

© Kluwer Academic Publishers 1996

Authors and Affiliations

  • S. Blanco
    • 1
    • 2
  • D. Gonzalez
    • 3
  • O. A. Rosso
    • 1
    • 4
  • F. Sportolari
    • 3
  1. 1.CONICETCiudad UniversitariaArgentina
  2. 2.Dpto. de Física - UBACiudad UniversitariaArgentina
  3. 3.Sezione di Cinematografia Scientifica, CNRBolognaItaly
  4. 4.Inst. Cálculo - UBACiudad UniversitariaArgentina

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