2014•Applied Mechanics and MaterialsRequires access

Stochastic Resonance in a Complex Nonlinear System Driven by Complex Periodic Signal and Noise

Yun Liang Meng, Chang Xing Pei, Dong Wu Li

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Abstract

The phenomenon of stochastic resonance in a complex nonlinear system which is excited by both complex weak periodic signal and noise is investigated in this paper. The model of complex nonlinear system is given, and the effects of the input periodic signal amplitude and the noise intensity on the response amplitude of the system at the periodic signal frequency are discussed through numerical simulations. It is shown that the response amplitude of the system to the input periodic signal displays a non-monotonic dependence on the noise intensity, and the response peaks at a particular value of the noise intensity, which is known as stochastic resonance. The results in this paper propose a new way for controlling stochastic resonance in a complex nonlinear system.

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What this paper is about

The phenomenon of stochastic resonance in a complex nonlinear system which is excited by both complex weak periodic signal and noise is investigated in this paper. The model of complex nonlinear system is given, and the effects of the input periodic signal amplitude and the noise intensity on the response amplitude of the system at the periodic signal frequency are discussed through numerical simulations. It is shown that the response amplitude of the system to the input periodic signal displays a non-monotonic dependence on the noise intensity, and the response peaks at a particular value of the noise intensity, which is known as stochastic resonance. The results in this paper propose a new way for controlling stochastic resonance in a complex nonlinear system.

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Available abstract

The phenomenon of stochastic resonance in a complex nonlinear system which is excited by both complex weak periodic signal and noise is investigated in this paper. The model of complex nonlinear system is given, and the effects of the input periodic signal amplitude and the noise intensity on the response amplitude of the system at the periodic signal frequency are discussed through numerical simulations. It is shown that the response amplitude of the system to the input periodic signal displays a non-monotonic dependence on the noise intensity, and the response peaks at a particular value of the noise intensity, which is known as stochastic resonance. The results in this paper propose a new way for controlling stochastic resonance in a complex nonlinear system.

Key concepts: Stochastic resonance, Noise (video), Nonlinear system, SIGNAL (programming language), Amplitude, Nonlinear resonance, Periodic function, Resonance (particle physics)

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