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Vibrational Resonance in Monostable Systems

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Nonlinear Resonances

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Abstract

The previous chapter is concerned with the occurrence of stochastic resonance in certain nonlinear systems and some of its applications. The stochastic resonance phenomenon can be realized when a bistable or a multistable system is driven by a weak periodic force and additive noise of appropriate intensity. Injection of noise to a nonlinear system, through a cooperative interaction, brings assistance to the weak signal in eliciting a more efficient response by overcoming a potential barrier or a threshold. The Russian physicist Polina Landa and the British physicist Peter McClintock [1] investigated the dynamics of a bistable system driven by a biharmonical external periodic force with two different frequencies, say, ω and Ω with Ω ≫ ω. That is, they replaced the noise term applied to observe stochastic resonance by a relatively high-frequency force. When the amplitude or frequency of the high-frequency force is varied they found a nonmonotonic variation of the amplitude of the output signal at the low-frequency ω of the input signal. Specifically, the amplitude of the output signal increased from a small value, reached a maximum at one or two critical values of the control parameter and then decayed. Since this phenomenon is induced by a relatively high-frequency force at the low-frequency ω of the input signal, it is termed as vibrational resonance.

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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

Authors
  1. Shanmuganathan Rajasekar
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  2. Miguel A. F. Sanjuan
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Rajasekar, S., Sanjuan, M.A.F. (2016). Vibrational Resonance in Monostable Systems. In: Nonlinear Resonances. Springer Series in Synergetics. Springer, Cham. https://doi.org/10.1007/978-3-319-24886-8_3

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