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Chaos and Three-Frequency Resonaces in a Dynamcal System

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Instabilities and Nonequilibrium Structures V

Part of the book series: Nonlinear Phenomena and Complex Systems ((NOPH,volume 1))

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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.

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References

  1. D.L. Gonzalez and O. Piro, Phys. Rev. Lett. 50, 870 (1983).

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  2. J.P. Ekmann, S. Oliffson Kamphorst, D. Ruelle and S. Ciliberto, Phys. Rev. A 34, 4871 (1986).

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  3. A.J. Khinchin, Continued Fractions ( University of Chicago, Chicago, 1964 ).

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  4. D.L. Gonzalez, O.A. Rosso, F. Sportolari and L. Morettini, to be published.

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Author information

Authors and Affiliations

  1. CONICET, Ciudad Universitaria, 1428 Bs. As, Argentina

    S. Blanco & O. A. Rosso

  2. Dpto. de Física - UBA, Ciudad Universitaria, 1428 Bs. As, Argentina

    S. Blanco

  3. Sezione di Cinematografia Scientifica, CNR, Via dell’Inferno 5, 40126, Bologna, Italy

    D. Gonzalez & F. Sportolari

  4. Inst. Cálculo - UBA, Ciudad Universitaria, 1428 Bs. As, Argentina

    O. A. Rosso

Authors
  1. S. Blanco
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  2. D. Gonzalez
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  3. O. A. Rosso
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  4. F. Sportolari
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Editor information

Editors and Affiliations

  1. Facultad de Ciencias Físicas y Matemáticas, Universidad de Chile, Santiago, Chile

    Enrique Tirapegui

  2. Instituto de Física, Universidad Católica de Valparaíso, Valparaíso, Chile

    Walter Zeller

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© 1996 Kluwer Academic Publishers

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Blanco, S., Gonzalez, D., Rosso, O.A., Sportolari, F. (1996). Chaos and Three-Frequency Resonaces in a Dynamcal System. In: Tirapegui, E., Zeller, W. (eds) Instabilities and Nonequilibrium Structures V. Nonlinear Phenomena and Complex Systems, vol 1. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-0239-8_29

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  • DOI: https://doi.org/10.1007/978-94-009-0239-8_29

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-6590-0

  • Online ISBN: 978-94-009-0239-8

  • eBook Packages: Springer Book Archive

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