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Bohou Xu – 1st expert on this subject based on the ideXlab platform
Evaluation of an Asymmetric Bistable System for Signal Detection under Lévy Stable NoiseChinese Physics Letters, 2012Co-Authors: Jiamin Huang, Bohou XuAbstract:
We evaluate the performance of a typical asymmetric Bistable System for detecting aperiodic signal under Levy stable noise. A Grunwald—Letnikov implicit finite difference method is employed to solve the fractional Fokker—Planck equation numerically. The noise-induced stochastic resonance (SR) and the parameter-induced SR both exist in the asymmetric Bistable Systems. The increase of the skewness parameter γ may deteriorate the System performance. However, by tuning the System parameters, the effects of asymmetry on the System performance can be reduced.
effects of small time delay on a Bistable System subject to levy stable noiseJournal of Physics A, 2011Co-Authors: Jiamin Huang, Bohou XuAbstract:
L?vy stable noise is often used to describe impulsive noise bursting in communication Systems. This paper investigates the effects of small time delay on a Bistable System driven by an aperiodic bipolar pulse signal and L?vy stable noise. We obtain the dynamical probability density of the System response by solving the approximated time-delayed fractional Fokker?Planck equation (FFPE) via an implicit finite difference method. A new approach to evaluate the System response time is presented. The bit error rate (BER) is employed to measure the performance of the Bistable System in detecting binary signals. The theoretical BER is validated by the Monte?Carlo simulation. We find that the existence of time delay can change both the drift term and the diffusion coefficient in time-delayed FFPE. For small noise intensity, the time delay extends the System response time and thus reduces the detection performance. However, effects of this kind will fade away with the increase of noise intensity.
comparison of aperiodic stochastic resonance in a Bistable System realized by adding noise and by tuning System parametersPhysical Review E, 2004Co-Authors: Bohou Xu, Fabing Duan, Francois ChapeaublondeauAbstract:
Two methods of realizing aperiodic stochastic resonance (ASR) by adding noise and tuning System param-eters in a Bistable System, after a scale transformation, can be compared in a real parameter space. In this space,the resonance point of ASR via adding noise denotes the extremum of a line segment, whereas the method oftuning System parameters presents the extrema of a parameter plane. We demonstrate that, in terms of theSystem performance, the method of tuning System parameters takes the precedence of the approach of addingnoise for an adjustable Bistable System. Besides, adding noise can be viewed as a speciﬁc case of tuning Systemparameters. Further research shows that the optimal System found by tuning System parameters may be sub-threshold or suprathreshold, and the conventional ASR effects might not occur in some suprathreshold optimalSystems.DOI: 10.1103/PhysRevE.69.061110 PACS number(s): 05.40.2aI. INTRODUCTION
Wei Xu – 2nd expert on this subject based on the ideXlab platform
first passage time statistics in a Bistable System subject to poisson white noise by the generalized cell mapping methodCommunications in Nonlinear Science and Numerical Simulation, 2015Co-Authors: Wei Xu, Ying ZhangAbstract:
Abstract The first-passage time statistics in a Bistable System subject to Poisson white noise is studied by using the generalized cell mapping method. Specifically, an approximate solution for the first-passage time statistics in a second-order Bistable System is developed by analyzing the motions in double-well potential and the global dynamics in phase space. Both symmetric and asymmetric cases have been investigated, and the effects of noise intensity and mean arrival rate of impulse on the first-passage time statistics are discussed respectively. It shows that the effect of Poisson white noise excitation on the first-passage time is quite different from that of the Gaussian one. With the same noise intensity, Poisson white noise can make for a faster first-passage.
dynamical complexity and stochastic resonance in a Bistable System with time delayNonlinear Dynamics, 2015Co-Authors: Meijuan He, Wei XuAbstract:
This paper addresses the problem of stochastic resonance (SR) in a time-delayed Bistable System subjected to Gaussian white noise. Differing from the conventional studies, the statistical complexity measure and the normalized Shannon entropy have been defined and employed to quantify SR phenomenon of the time-delayed Bistable System. According to the definitions of statistical complexity measure and normalized Shannon entropy, a minimum of entropy illustrates that the motion of System reaches some degree of order and a maximum of statistical complexity measure implies that the System’s intricate pattern tends to complexity. It has been found that for an optimal level of noise intensity, the statistical complexity measure displays a maximum and the normalized Shannon entropy exhibits a minimum, which demonstrates not only the occurrence of SR but also the severity of dynamical complexity. And the effects of different parameters on SR are also studied by means of the statistical complexity measure. To test the validity, the signal-to-noise ratio (SNR) is also calculated and a good agreement has been found between the statistical complexity measure and the SNR, which indicates that the statistical complexity measure is an effective method for quantify SR of the time-delayed Bistable System.
levy noise induced stochastic resonance in a Bistable SystemEuropean Physical Journal B, 2013Co-Authors: Yong Xu, Wei Xu, Huiqing Zhang, Juanjuan Li, Jing Feng, Jinqiao DuanAbstract:
The stochastic resonance phenomenon induced by Levy noise in a second-order and under-damped Bistable System is investigated. The signal-to-noise ratio for different parameters is computed by an efficient numerical scheme. The influences of the intensity and stability index of Levy noise, as well as the amplitude of external signal on the occurrence of stochastic resonance phenomenon are characterized. The results imply that higher signal amplitude not only enhances the output power spectrum of System but also promotes stochastic resonance, and a proper adjustment of noise intensity in a certain range enlarges the peak value of output power spectrum which is significant for stochastic resonance. Moreover, with an appropriate damping parameter, lowering the stability index leads to larger fluctuations of Levy noise, and further weakens the occurrence of the stochastic resonance. Copyright EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2013
Guillaume Huyet – 3rd expert on this subject based on the ideXlab platform
kramers law for a Bistable System with time delayed noisePhysical Review E, 2007Co-Authors: D Goulding, Sergey Melnik, D Curtin, Tomasz Piwonski, John Houlihan, James P Gleeson, Guillaume HuyetAbstract:
We demonstrate that the classical Kramers’ escape problem can be extended to describe a Bistable System under the influence of noise consisting of the superposition of a white Gaussian noise with the same noise delayed by time tau. The distribution of times between two consecutive switches decays piecewise exponentially, and the switching rates for 0 < t
experimental investigation of a Bistable System in the presence of noise and delayPhysical Review Letters, 2004Co-Authors: John Houlihan, D Goulding, Thomas Busch, Cristina Masoller, Guillaume HuyetAbstract:
We experimentally analyze the behavior of a non-Markovian Bistable System with noise, using a vertical cavity surface emitting laser with time-delayed optoelectronic feedback. The effects of the delayed feedback are observed in the probability distribution of the residence times of the two orthogonal polarization states, and in the polarization-resolved power spectrum. They agree well with recent theoretical predictions based on a two-state model with transition rates depending on an earlier state of the System. We also observe experimentally and explain theoretically that the residence time probability distribution deviates from exponential decay for residence times close to (and smaller than) the delay time.