Stochastic resonance in a high-order time-delayed feedback tristable dynamic system and its application

[1]  A. Sutera,et al.  The mechanism of stochastic resonance , 1981 .

[2]  S. Fauve,et al.  Stochastic resonance in a bistable system , 1983 .

[3]  Wiesenfeld,et al.  Theory of stochastic resonance. , 1989, Physical review. A, General physics.

[4]  Frank Moss,et al.  Noise enhancement of information transfer in crayfish mechanoreceptors by stochastic resonance , 1993, Nature.

[5]  John P. Miller,et al.  Broadband neural encoding in the cricket cereal sensory system enhanced by stochastic resonance , 1996, Nature.

[6]  T. Ohira,et al.  RESONANCE WITH NOISE AND DELAY , 1998, cond-mat/9807205.

[7]  A. Longtin,et al.  Small delay approximation of stochastic delay differential equations , 1999 .

[8]  Longtin,et al.  Rate processes in a delayed, stochastically driven, and overdamped system , 2000, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[9]  W. Stacey,et al.  Stochastic resonance improves signal detection in hippocampal CA1 neurons. , 2000, Journal of neurophysiology.

[10]  C. Masoller Noise-induced resonance in delayed feedback systems. , 2002, Physical review letters.

[11]  B. Spagnolo,et al.  Spatio-temporal patterns in population dynamics , 2002 .

[12]  D. Valenti,et al.  Pattern formation and spatial correlation induced by the noise in two competing species , 2004, cond-mat/0401424.

[13]  M. Cáceres,et al.  Functional characterization of linear delay Langevin equations. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

[14]  T. Frank,et al.  Delay Fokker-Planck equations, Novikov's theorem, and Boltzmann distributions as small delay approximations. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

[15]  S. Boccaletti,et al.  Signatures of noise-enhanced stability in metastable states. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

[16]  T. Frank Delay Fokker-Planck equations, perturbation theory, and data analysis for nonlinear stochastic systems with time delays. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

[17]  L. Qiang,et al.  Engineering signal processing based on adaptive step-changed stochastic resonance , 2007 .

[18]  Shiqun Zhu,et al.  Stochastic resonance in a bistable system with time-delayed feedback and non-Gaussian noise , 2007 .

[19]  X. Wei,et al.  Stochastic Resonance in a Bistable System with Time-Delayed Feedback Loops , 2008 .

[20]  David Applebaum,et al.  Extending Stochastic Resonance for Neuron Models to General LÉvy Noise , 2009, IEEE Transactions on Neural Networks.

[21]  D. Valenti,et al.  Non-Gaussian noise effects in the dynamics of a short overdamped Josephson junction , 2010 .

[22]  Yanfei Jin Noise-induced dynamics in a delayed bistable system with correlated noises , 2012 .

[23]  M. Luo,et al.  Stochastic resonance in the overdamped fractional oscillator subject to multiplicative dichotomous noise , 2013 .

[24]  Manish Dev Shrimali,et al.  Realizing logic gates with time-delayed synthetic genetic networks , 2014 .

[25]  Dongying Han,et al.  Study on multi-frequency weak signal detection method based on stochastic resonance tuning by multi-scale noise , 2014 .

[26]  Hu Xiao,et al.  Research of weak fault feature information extraction of planetary gear based on ensemble empirical mode decomposition and adaptive stochastic resonance , 2015 .

[27]  Keli Yang,et al.  Coexistence of attractors and effects of noise on coupled piecewise maps , 2015 .

[28]  Li Pei,et al.  Multi-frequency weak signal detection based on wavelet transform and parameter compensation band-pass multi-stable stochastic resonance , 2016 .

[29]  Dongying Han,et al.  Stochastic Resonance in a Multistable System Driven by Gaussian Noise , 2016 .

[30]  Yong-Feng Guo,et al.  Stochastic resonance in a piecewise nonlinear model driven by multiplicative non-Gaussian noise and additive white noise , 2016, Commun. Nonlinear Sci. Numer. Simul..

[31]  Bing Li,et al.  A new multiscale noise tuning stochastic resonance for enhanced fault diagnosis in wind turbine drivetrains , 2016 .

[32]  Fanrang Kong,et al.  Periodic fault signal enhancement in rotating machine vibrations via stochastic resonance , 2016 .

[33]  Derek Abbott,et al.  Capacity of very noisy communication channels based on Fisher information , 2016, Scientific Reports.

[34]  Fanrang Kong,et al.  Rotating machine fault diagnosis through enhanced stochastic resonance by full-wave signal construction , 2017 .

[35]  Pengfei Xu,et al.  Stochastic resonance in a delayed triple-well potential driven by correlated noises. , 2017, Chaos.

[36]  Feng Jia,et al.  An adaptive unsaturated bistable stochastic resonance method and its application in mechanical fault diagnosis , 2017 .

[37]  Zhongkui Sun,et al.  Characterizing stochastic resonance in coupled bistable system with Poisson white noises via statistical complexity measures , 2017, Nonlinear Dynamics.

[38]  Kang-Kang Wang,et al.  Double time-delays induced stochastic dynamical characteristics for a metapopulation system subjected to the associated noises and a multiplicative periodic signal , 2017 .

[39]  Lu Zhang,et al.  Nonlinear effect of time delay on the generalized stochastic resonance in a fractional oscillator with multiplicative polynomial noise , 2017 .

[40]  Keli Yang,et al.  Multiple cross-correlation noise induced transition in a stochastic bistable system , 2017 .

[41]  Kang-Kang Wang,et al.  Impact of colored cross-correlated non-Gaussian and Gaussian noises on stochastic resonance and stochastic stability for a metapopulation system driven by a multiplicative signal , 2018 .

[42]  Dongying Han,et al.  Stochastic resonance in a time-delayed feedback tristable system and its application in fault diagnosis , 2018, Journal of Sound and Vibration.

[43]  Yaguo Lei,et al.  Repetitive transient extraction for machinery fault diagnosis using multiscale fractional order entropy infogram , 2018 .

[44]  Dongying Han,et al.  Stochastic resonance in a time polo-delayed asymmetry bistable system driven by multiplicative white noise and additive color noise , 2018 .

[45]  Pengfei Xu,et al.  Mean first-passage time in a delayed tristable system driven by correlated multiplicative and additive white noises , 2018, Chaos, Solitons & Fractals.

[46]  F. Duan,et al.  Generalized energy detector for weak random signals via vibrational resonance , 2018 .

[47]  Yaguo Lei,et al.  Applications of stochastic resonance to machinery fault detection: A review and tutorial , 2019, Mechanical Systems and Signal Processing.