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- Title
Noise-induced transition in an underdamped asymmetric bistable system driven by Lévy noise.
- Authors
Guo, Yong-Feng; Wei, Fang; Wang, Lin-Jie; Tan, Jian-Guo
- Abstract
In this paper, the Lévy noise-induced transition in an underdamped asymmetric bistable system is discussed. Lévy noise is generated through the Janicki–Weron algorithm and the numerical solutions of system equation is obtained by the fourth-order Runge–Kutta method. Then the stationary probability density functions are obtained by solving the equation of system. The influence of the damped coefficient γ , asymmetric parameter r of system, stability index α , skewness parameters β and noise intensity D on the stationary probability density are analyzed. The numerical simulation results show that the asymmetric parameter r, stability index α , skewness parameters β and noise intensity D can induce the phase transition. However, the phase transition cannot be induced by the damped coefficient γ.
- Subjects
LEVY processes; RUNGE-Kutta formulas; PROBABILITY density function; COMPUTER simulation; SKEWNESS (Probability theory)
- Publication
International Journal of Modern Physics B: Condensed Matter Physics; Statistical Physics; Applied Physics, 2018, Vol 32, Issue 28, pN.PAG
- ISSN
0217-9792
- Publication type
Article
- DOI
10.1142/S0217979218503137