The Lévy noise-induced current reversal phenomenon for self-propelled particles in a two-dimensional potential

2017 ◽  
Vol 31 (20) ◽  
pp. 1750139
Author(s):  
Bing Wang ◽  
Zhongwei Qu ◽  
Xuechao Li ◽  
Jianli Ma
Keyword(s):  
Asymmetry Parameter ◽  
Average Velocity ◽  
Lévy Noise ◽  
Two Dimensional ◽  
Induced Current ◽  
Reversal Phenomenon ◽  
Velocity Changes ◽  
Levy Noise ◽  
Current Reversal

Effects of Lévy noise on self-propelled particles in a two-dimensional potential is investigated. The current reversal phenomenon appears in the system. [Formula: see text] ([Formula: see text]-direction average velocity) changes from negative to positive with increasing asymmetry parameter [Formula: see text], and changes from positive to negative with increasing self-propelled velocity [Formula: see text]. [Formula: see text] has a maximum with increasing modulation constant [Formula: see text].

scholarly journals Dimensional coupling-induced current reversal in two-dimensional driven lattices

2018 ◽  
Vol 97 (5) ◽  
Author(s):  
Aritra K. Mukhopadhyay ◽  
Tianting Xie ◽  
Benno Liebchen ◽  
Peter Schmelcher
Keyword(s):  
Two Dimensional ◽  
Induced Current ◽  
Dimensional Coupling ◽  
Current Reversal

Dynamic characteristics in two-dimensional FitzHugh–Nagumo neural system driven by Lévy noise

2019 ◽  
Vol 33 (28) ◽  
pp. 1950345 ◽  
Author(s):  
Linjie Wang ◽  
Yongfeng Guo ◽  
Fang Wei ◽  
Jianguo Tan
Keyword(s):  
Steady State ◽  
Signal To Noise Ratio ◽  
Neural System ◽  
Lévy Noise ◽  
Stationary Probability ◽  
Two Dimensional ◽  
Signal To Noise ◽  
Neuron System ◽  
Runge Kutta Method ◽  
Levy Noise

In this paper, the steady state characteristics and stochastic resonance (SR) in two-dimensional FitzHugh–Nagumo (FHN) neuron system driven by Lévy noise are studied. The system is simulated by Janicki–Weron algorithm and fourth-order Runge–Kutta method, and the steady state characteristics of the system are analyzed by stationary probability density (SPD) functions. Then, the SR is determined by the classical measure of signal-to-noise ratio (SNR). Through numerical simulation, it is found that the Lévy noise can induce the transition of the system. In addition, the effects of different parameters on the SR are analyzed by SNR.

scholarly journals Large deviations for stochastic models of two-dimensional second grade fluids Driven by Lévy Noise

2020 ◽  
pp. 2050026
Author(s):  
Jianliang Zhai ◽  
Tusheng Zhang ◽  
Wuting Zheng
Keyword(s):  
Stochastic Models ◽  
Large Deviation Principle ◽  
Large Deviation ◽  
Lévy Noise ◽  
Second Grade ◽  
Two Dimensional ◽  
Convergence Method ◽  
Levy Noise ◽  
Second Grade Fluids ◽  
Weak Convergence Method

In this paper, we establish a Freidlin–Wentzell-type large deviation principle for stochastic models of two-dimensional second grade fluids driven by Lévy noise. The weak convergence method introduced by Budhiraja, Dupuis and Maroulas plays a key role.

scholarly journals An Enhanced Intrinsic Time-Scale Decomposition Method Based on Adaptive Lévy Noise and Its Application in Bearing Fault Diagnosis

Symmetry ◽  
2021 ◽  
Vol 13 (4) ◽  
pp. 617
Author(s):  
Jianpeng Ma ◽  
Shi Zhuo ◽  
Chengwei Li ◽  
Liwei Zhan ◽  
Guangzhu Zhang
Keyword(s):  
Fault Diagnosis ◽  
Time Scale ◽  
Lévy Noise ◽  
Model Parameters ◽  
Rolling Bearings ◽  
Intrinsic Time ◽  
Time Scale Decomposition ◽  
Weak Fault ◽  
Levy Noise ◽  
The Impact

When early failures in rolling bearings occur, we need to be able to extract weak fault characteristic frequencies under the influence of strong noise and then perform fault diagnosis. Therefore, a new method is proposed: complete ensemble intrinsic time-scale decomposition with adaptive Lévy noise (CEITDALN). This method solves the problem of the traditional complete ensemble intrinsic time-scale decomposition with adaptive noise (CEITDAN) method not being able to filter nonwhite noise in measured vibration signal noise. Therefore, in the method proposed in this paper, a noise model in the form of parameter-adjusted noise is used to replace traditional white noise. We used an optimization algorithm to adaptively adjust the model parameters, reducing the impact of nonwhite noise on the feature frequency extraction. The experimental results for the simulation and vibration signals of rolling bearings showed that the CEITDALN method could extract weak fault features more effectively than traditional methods.

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