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Autoresonance

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Nonlinear Resonances

Part of the book series: Springer Series in Synergetics ((SSSYN))

Abstract

Autoresonance (also called self-sustained resonance) is a phenomenon that occurs when a resonant forced nonlinear system stays phase-locked with an adiabatically varying driving force whose frequency is a function of time [1, 2]. Essentially, the system automatically adjusts its amplitude continuously so that its instantaneous period of oscillation matches with the period of the driving force leading to the growth of its energy. That is, autoresonance is a method of exciting a nonlinear dynamical system to high energies by means of a weak driving force whose frequency is varying with time. Autoresonance was first realized in relativistic particle accelerators [3] and in the analysis of the cyclotron resonance stability [4].

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Authors and Affiliations

  1. School of Physics, Bharathidasan University, Tiruchirappalli, Tamil Nadu, India

    Shanmuganathan Rajasekar

  2. Department of Physics, Universidad Rey Juan Carlos, Móstoles, Madrid, Spain

    Miguel A. F. Sanjuan

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  1. Shanmuganathan Rajasekar
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  2. Miguel A. F. Sanjuan
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Rajasekar, S., Sanjuan, M.A.F. (2016). Autoresonance. In: Nonlinear Resonances. Springer Series in Synergetics. Springer, Cham. https://doi.org/10.1007/978-3-319-24886-8_11

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