Resonance behaviour for a bistable system driven by random-phase square-wave signal-modulated noise and multiplicative noise

• Published in: Pramāṇa Vol. 98; no. 3
• Main Authors: Guo, Feng, Zhu, Cheng-Yin, Cai, Qiang-Ming, Wang, Jian-Wei
• Format: Journal Article
• Language: English
• Published: New Delhi Springer India 11.07.2024; Springer Nature B.V
• Subjects: Astronomy; Astrophysics and Astroparticles; Asymmetry; Observations and Techniques; Physics; Physics and Astronomy; Signal to noise ratio; Stochastic resonance; signal-modulated noise; 05.40.−a; bistable system; asymmetric square-wave signal; 02.50.−r; Stochastic resonance; random-phase signal; multiplicative noise
• ISSN: 0973-7111; 0304-4289; 0973-7111
• DOI: 10.1007/s12043-024-02807-1

The stochastic resonance (SR) phenomenon for a bistable system subject to signal-modulated noise and to multiplicative and additive noise is investigated. The signal is modelled as a random-phase asymmetric square-wave one. Based on adiabatic approximation condition and two-state theory, the system output signal-to-noise ratio (SNR) is deduced. It is found that double SR phenomenon occurs when the SNR varies with the asymmetry of the square-wave signal. One resonance peak appears when the SNR changes with the amplitude of the square-wave signal. Traditional SR can be observed on the curves of the SNRs vs. the strength of the signal-modulated noise and vs. the intensities of the multiplicative and additive noise. The non-monotonous dependence of the SNR on the system parameter is discussed.