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The Dissipative Nonlocal Oscillator

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Abstract

The most important characteristics of a nonlocal and nonlinear oscillator subject to dissipative forces are extensively studied by means of an asymptotic perturbation method, based upon temporal rescaling and harmonic balance. The conditions under which bifurcations and limit cycles appear are determined. If the parameters satisfy particular conditions, a quasi-periodic motion is predicted, because a second small frequency adds to the natural frequency of the oscillator. The analytical results are validated by numerically solving the original system.

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Authors and Affiliations

  1. Technical Institute ‘G. Cardano’, Piazza della Resistenza 1, 00015, Monterotondo (Rome), Italy

    Attilio Maccari

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  1. Attilio Maccari
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Maccari, A. The Dissipative Nonlocal Oscillator. Nonlinear Dynamics 16, 307–320 (1998). https://doi.org/10.1023/A:1008290009964

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  • DOI: https://doi.org/10.1023/A:1008290009964

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