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arXiv · 1202.6592

Oscillators with Parametrically Excited Nonlinearity: Resonance, Anti-resonance and Switch

Sagar Chakraborty·Amartya Sarkar
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Abstract

We discover presence of a hitherto unexplored type of resonance in a parametrically excited Van der Pol oscillator. The oscillator also possesses a state of anti-resonance. In the weak non-linear limit, we explain how to practically get a complete picture of different states of limiting oscillations present in the oscillator when the non-linear term therein is excited by an arbitrary $2\pi$ periodic function of time. We also illustrate how two such oscillators can be coupled to behave like a two-state switch allowing an sharp change of value of amplitude for stable oscillations from one constant to another.

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Sagar Chakraborty, Amartya Sarkar. 2012-02-29. Oscillators with Parametrically Excited Nonlinearity: Resonance, Anti-resonance and Switch. https://arxiv.org/abs/1202.6592

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