Article
Physics, Applied
Yalin Zhang, Fuzhong Wang
Summary: This paper proposes a new method for 4FSK signal reception based on adaptive tristable stochastic resonance system and compares its performance with the traditional modulation model through numerical simulation. The results demonstrate that the proposed method can significantly reduce the bit error rate and improve the quality of the demodulated 4FSK signal.
MODERN PHYSICS LETTERS B
(2023)
Article
Physics, Multidisciplinary
S. T. Chui, Zhifang Lin, Zian Ji
Summary: We demonstrate the concept of resonance in noise through the example of current induced by an external electromagnetic field and noise current in split ring resonators. Both the signal and noise show resonances at the same frequencies, but their ratio varies with frequency and external driving field. This unexpected result suggests that the signal to noise ratio is not solely determined by the resonance frequency, highlighting the need for further research to improve device design.
Article
Engineering, Multidisciplinary
Yongfeng Guo, Ting Yao, Linjie Wang, Jianguo Tan
Summary: The paper investigates the stationary probability density and stochastic resonance phenomenon of a tumor growth model under the excitation of Levy noise and Gaussian white noise. The results show that noise sources can induce noise-induced transitions for the system, with smaller stability index and Levy noise intensity enhancing the likelihood of tumor cell death. Noise parameters and system parameters can induce stochastic resonance, but the effect of Gaussian white noise on signal-to-noise ratio (SNR) is different from Levy noise.
APPLIED MATHEMATICAL MODELLING
(2021)
Article
Mathematics, Interdisciplinary Applications
Li-Na Mi, Yong-Feng Guo, Meng Zhang, Xiao-Jing Zhuo
Summary: The impacts of noise parameters and input signal parameters on stochastic resonance are investigated in a gene transcriptional regulatory model. It is found that Gaussian noise intensity can cause stochastic resonance, while Levy noise intensity can cause both stochastic resonance and inverse stochastic resonance. Adjusting the noise parameters can achieve optimal stochastic resonance and acquire useful genetic information.
CHAOS SOLITONS & FRACTALS
(2023)
Article
Mathematics, Applied
Cesar Manchein, Luana Santana, Rafael M. M. da Silva, Marcus W. W. Beims
Summary: The nonlinear dynamics of a FitzHugh-Nagumo neuron driven by an oscillating current and perturbed by a Gaussian noise signal is investigated. Stable periodic structures and chaotic regimes are identified in the parameter space. An intriguing effect is the generation of regular dynamics for the driven FHN neuron at larger noise intensities. This result has fundamental importance for understanding the global behavior of neural networks and for large-scale simulations and applications.
Article
Computer Science, Interdisciplinary Applications
Yongfeng Guo, Linjie Wang, Qiang Dong, Xiaojuan Lou
Summary: In this paper, the dynamical complexity of the FitzHugh-Nagumo neuron model under the co-excitation of Levy noise and Gaussian white noise is studied using information theory measures. The effects of additive noise intensity, multiplicative noise intensity, and system parameter on system complexity are analyzed, revealing differences in complexity between total system dynamics and individual potential wells. Gaussian white noise and Levy noise also have distinct effects on system complexity.
MATHEMATICS AND COMPUTERS IN SIMULATION
(2021)
Article
Mathematics, Interdisciplinary Applications
Mengdi Li, Peiming Shi, Wenyue Zhang, Dongying Han
Summary: This study proposes an under damped continuous unsaturation bistable stochastic resonance (UCUBSR) system to address the saturation issue in classical bistable stochastic resonance (CBSR) system. The introduction of amplitude gain as a modified unsaturation index is effective in quantifying stochastic resonance and analyzing system performance. The simulation and experimental results demonstrate that a larger amplitude gain indicates better performance in weak fault detection and parameter adjustment, enhancing fault signature identification.
CHAOS SOLITONS & FRACTALS
(2021)
Article
Computer Science, Interdisciplinary Applications
Huan Zheng, Kaijun Wu, Tao Li
Summary: Noise is widely present in the nervous system and plays a crucial role in information processing. This study uses a memristor to simulate the electromagnetic field environment of the nervous system and analyzes the stochastic resonance behavior of the FitzHugh-Nagumo neuron system under the drive of phase noise.
INTERNATIONAL JOURNAL OF MODERN PHYSICS C
(2023)
Review
Acoustics
Jianpeng Ding, Youming Lei
Summary: We propose a new method to enhance stochastic resonance based on reinforcement learning. By introducing a moving signal-to-noise ratio, the method can improve the performance of stochastic resonance. We use double Q-tables to overcome the challenge of delayed rewards and improve the stability and convergence of the algorithm. The effectiveness of the method is demonstrated using the Fitzhugh-Nagumo and Hindmarsh-Rose models.
JOURNAL OF VIBRATION AND CONTROL
(2023)
Article
Mathematics, Interdisciplinary Applications
Dong Yu, Guowei Wang, Qianming Ding, Tianyu Li, Ya Jia
Summary: This paper investigates the influence of bounded noise and time delay on the sub-threshold signal transmission in FitzHugh-Nagumo neuronal networks. The study finds that moderate noise levels can enhance signal transmission in neuronal systems, with an optimal cross-correlation time for the best enhancement. Furthermore, the positively correlated bounded noise-induced stochastic anti-resonance phenomenon strengthens monotonically with increasing cross-correlated intensity. Interestingly, the phenomenon disappears when the noise is negatively correlated. By fine-tuning the time delay, resonance peaks occur at each half-integer multiples of the signal period, indicating delay-induced multiple stochastic resonances. Sub-harmonic stochastic resonance and stochastic anti-resonance alternate appear at the appropriate coupling strength. These findings offer a novel perspective on sub-threshold signal transmission in the nervous system.
CHAOS SOLITONS & FRACTALS
(2022)
Article
Neurosciences
Huilan Yang, Guizhi Xu, Hongbin Wang
Summary: This paper studied the stochastic resonance in Hodgkin-Huxley neuronal networks under different channel noises and analyzed the effects of electromagnetic field stimulation on resonance. The results indicate that selecting appropriate magnetic field parameters can significantly enhance the resonance amplitude, while excessively strong magnetic fields may have detrimental effects. Magnetic fields may induce the enhancement of resonance amplitude by increasing firing frequency and spiking regularity.
COGNITIVE NEURODYNAMICS
(2022)
Article
Mathematics, Applied
Cheng Fang, Yubin Lu, Ting Gao, Jinqiao Duan
Summary: Recently, there has been much interest in using deep learning frameworks to extract data-driven governing laws of dynamical systems. This study overcomes challenges in extending algorithms to non-Gaussian scenarios by identifying stochastic dynamical systems driven by alpha-stable Levy noise.
Article
Engineering, Mechanical
Qi Liu, Yong Xu, Yongge Li
Summary: In this study, the complex dynamical behaviors of an aircraft airfoil subjected to an external harmonic force and extreme random load were explored. Bistable behaviors of the deterministic airfoil system were observed, and the effects of the extreme random load on the airfoil system were thoroughly investigated. Interestingly, the extreme random load could lead to stochastic transition and stochastic resonance within the bistable regime, increasing the possibility of highly unexpected stochastic transition behaviors.
NONLINEAR DYNAMICS
(2023)
Article
Mathematics, Interdisciplinary Applications
Xiao-Ping Li, Anwarud Din, Anwar Zeb, Sunil Kumar, Tareq Saeed
Summary: The main focus of this paper is to analyze the Levy noise-driven Hepatitis B virus (HBV) infectious disease, considering the vaccination effect on the epidemic's dynamical behavior. Through theoretical analysis and numerical simulations, it has been found that the fractional-order system has a good extinction effect, providing a strong theoretical basis for understanding and controlling epidemics.
CHAOS SOLITONS & FRACTALS
(2022)
Article
Automation & Control Systems
Xiaolong Zeng, Xin Lu, Zhiwen Liu, Yulin Jin
Summary: This study proposes an adaptive fractional stochastic resonance (SR) method based on weighted correctional signal-to-noise ratio (WCSNR) to enhance the weak fault feature of wind turbines. By constructing the WCSNR evaluation index and applying the fractional-order theory, the method adaptively obtains optimal parameters and overcomes the limitations of integer-order SR in enhancing fault features.
Article
Physics, Condensed Matter
Hua Li, Yong Xu, Juergen Kurths, Xiaole Yue
EUROPEAN PHYSICAL JOURNAL B
(2019)
Article
Mathematics, Applied
Yongge Li, Yong Xu, Juergen Kurths, Jinqiao Duan
Article
Physics, Multidisciplinary
Jing Feng, Wei Xu, Yong Xu, Xiaolong Wang
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
(2019)
Article
Physics, Multidisciplinary
Hua Li, Yong Xu, Xiaole Yue, Juergen Kurths
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
(2019)
Article
Mathematics, Applied
Bin Pei, Yong Xu, Jiang-Lun Wu
APPLIED MATHEMATICS LETTERS
(2020)
Article
Mathematics, Applied
Yong Xu, Hao Zhang, Yongge Li, Kuang Zhou, Qi Liu, Juergen Kurths
Article
Mathematics, Applied
Qi Liu, Yong Xu, Juergen Kurths
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2020)
Article
Physics, Multidisciplinary
Yongge Li, Ruoxing Mei, Yong Xu, Juergen Kurths, Jinqiao Duan, Ralf Metzler
NEW JOURNAL OF PHYSICS
(2020)
Article
Engineering, Multidisciplinary
RuiLan Tian, ZhiJie Zhao, Yong Xu
Summary: This study introduces a variable scale-convex-peak method for identifying the frequency of weak harmonic signals. By finding optimal identification coefficients and utilizing the stochastic Melnikov method, the method is able to identify the frequency while ensuring dynamic behavior transition persistence. Through analyzing the bifurcation diagram and introducing reversible scaling transformation, the feasibility of frequency detection in engineering is validated.
SCIENCE CHINA-TECHNOLOGICAL SCIENCES
(2021)
Article
Mathematics, Interdisciplinary Applications
Ruoxing Mei, Yong Xu, Yongge Li, Juergen Kurths
CHAOS SOLITONS & FRACTALS
(2020)
Article
Engineering, Mechanical
Jinzhong Ma, Yong Xu, Yongge Li, Ruilan Tian, Guanrong Chen, Juergen Kurths
NONLINEAR DYNAMICS
(2020)
Article
Physics, Multidisciplinary
Wantao Jia, Yong Xu, Dongxi Li, Rongchun Hu
Summary: This paper investigates the statistical responses of two-special prey-predator type ecosystem models excited by combined Gaussian and Poisson white noise using the stochastic averaging method. The method effectively computes the statistical characteristics of population densities in ecosystems, including stationary probability density functions and moments.
Article
Mathematics
Seyfeddine Moualkia, Yong Xu
Summary: This paper discusses the existence and uniqueness of solutions to fractional stochastic differential equations with variable order, providing new sufficient conditions for uniqueness.
Article
Chemistry, Multidisciplinary
Rong Guo, Qi Liu, Junlin Li, Yong Xu
Summary: This study analytically explored the influences of random excitation on a shape memory alloy (SMA) oscillator, introducing a stochastic SMA model and verifying theoretical analysis through numerical simulations. The research found that random excitation significantly impacts the dynamics of the SMA model.
APPLIED SCIENCES-BASEL
(2021)
Article
Mathematics, Applied
Bin Pei, Yong Xu, Yuzhen Bai
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B
(2020)
