Regular Article

Symmetry tristable stochastic resonance induced by parameter under levy noise background

¹ School of Science, Tianjin Polytechnic University, Tianjin 300160, P.R. China
² Faculty of Science, Tianjin University, Tianjin 300072, P.R. China
³ School of Physics, Nankai University, Tianjin 300071, P.R. China
⁴ Mathematics and Science Department, Tianshi College, Tianjin 301700, P.R. China

^a e-mail: youruomenglan@163.com

Received: 28 December 2018
Received in final form: 23 April 2019
Published online: 5 August 2019

Abstract

The symmetric tristable stochastic resonance (SR) phenomenon under Levy distributed noise is studied using signal-to-noise ratio as a standard for signal quality improvement. According to structural characteristics of the tristable system, a method of indirect parameter control is constructed and a mapping relationship between the attractor curve and system input is analyzed. The research results show that the indirect parameter regulation method for symmetrical tristable is intuitive, simple and effective. The input signal of system can promote transition of the micro-particle between three potential wells to generate SR under a certain amount of noise intensity. Variation laws of the system output x(t) with time t in the simulation experiment results satisfies the theoretical analysis of attractor curve.