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Arnold Tongues In A Periodically Perturbed Logistic Oscillator

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Instabilities and Nonequilibrium Structures IV

Part of the book series: Mathematics and Its Applications ((MAIA,volume 267))

Abstract

A logistic oscillator, perturbed by a periodic force of amplitude D and frequency ω, is studied. We obtain the condition for phase locking between the nonlinear oscillator, of frequency ω 0, and the external perturbation. The locked—unlocked boundary, D = D L (ω), has a remarkable structure, with “V-shaped” minima appearing for every rational value of ω/ω 0.

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Author information

Authors and Affiliations

  1. Departamento de Física, Facultad de Ciencias, Universidad de Chile, Casilla 653, Santiago, Chile

    Jaime Rössler & Miguel Kiwi

  2. Departamento de Física, Universidad de Tarapacá, Casilla 7-D, Arica, Chile

    Edmundo Lazo

  3. Facultad de Física, Universidad Católica de Chile, Casilla 6177, Santiago 22, Chile

    Miguel Kiwi

Authors
  1. Jaime Rössler
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  2. Edmundo Lazo
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  3. Miguel Kiwi
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Editor information

Editors and Affiliations

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

    E. Tirapegui

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

    W. Zeller

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© 1993 Springer Science+Business Media Dordrecht

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Rössler, J., Lazo, E., Kiwi, M. (1993). Arnold Tongues In A Periodically Perturbed Logistic Oscillator. In: Tirapegui, E., Zeller, W. (eds) Instabilities and Nonequilibrium Structures IV. Mathematics and Its Applications, vol 267. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-1906-1_5

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  • DOI: https://doi.org/10.1007/978-94-011-1906-1_5

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-4842-2

  • Online ISBN: 978-94-011-1906-1

  • eBook Packages: Springer Book Archive

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