Article
Physics, Multidisciplinary
Tao Gong, Jianhua Yang, Miguel A. F. Sanjuan, Houguang Liu, Zhen Shan
Summary: Vibrational resonance (VR) has advantages in signal enhancement, but traditional VR methods are not applicable for complex nonlinear frequency modulated (NLFM) signals. To solve this problem, a rescaled VR method using real-time scale transformation is proposed, which shows excellent performance in enhancing NLFM signals with arbitrary frequency variations.
Article
Physics, Multidisciplinary
Zhong-Qiu Wang, Jian-Hua Yang
Summary: This study focuses on the aperiodic resonance of a typical nonlinear system excited by a single aperiodic binary or M-ary signal and its measuring method. The results show that the cross-correlation coefficient can better describe the synchronization and waveform similarity between the system output and the input aperiodic signal, while the response amplitude gain can better describe the amplification of signal amplitude after passing through the nonlinear system. The bit error rate can describe the synchronization between the system output and the input signal and the degree of amplification of the aperiodic signal after passing through the nonlinear system.
ACTA PHYSICA SINICA
(2023)
Article
Multidisciplinary Sciences
Yan Pan, Fabing Duan, Francois Chapeau-Blondeau, Liyan Xu, Derek Abbott
Summary: VR intentionally introduces high-frequency periodic vibrations to nonlinear systems to enhance efficiency in information processing tasks. Unlike stochastic resonance which adds random noise, VR is advantageous due to its ease of implementation and provides valuable insights for nonlinear signal processing through detailed modalities still under investigation. By injecting a range of high-frequency sinusoidal vibrations of the same amplitude at different frequencies, VR can enhance efficiency in estimating unknown signal parameters or detecting weak signals in noise. Additionally, the ability to consider high-frequency vibrations with differing frequencies as independent random variables at sampling times allows for probabilistic analysis similar to stochastic resonance, providing a theoretical basis for optimizing the VR effect in signal processing.
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
(2021)
Article
Chemistry, Multidisciplinary
Guilhem Madiot, Sylvain Barbay, Remy Braive
Summary: Vibrational resonance is a common phenomenon where a weak low-frequency signal is amplified by high-frequency modulation. In this study, vibrational resonance was experimentally observed in a photonic crystal optomechanical resonator and the signal was amplified up to +16 dB.
Article
Engineering, Electrical & Electronic
Tao Qin, Lingyun Zhou, Shuai Chen, Zhengxiang Chen
Summary: This paper proposes a magnetic anomaly recognition method based on fourth-order aperiodic stochastic resonance, which can effectively detect and identify weak magnetic anomaly signals generated by targets in the background of strong interference noise.
IEEE SENSORS JOURNAL
(2022)
Article
Physics, Multidisciplinary
Chengyang Wu, Chengjin Wu
Summary: In this study, a system with fractional power nonlinearity is introduced into the theory of aperiodic stochastic resonance (ASR). The effect of the fractional exponent on the ASR phenomenon excited by aperiodic binary signal is investigated, showing that the system with fractional power nonlinearity outperforms classical bistable systems. Additionally, an effective method based on ASR and moving average is proposed to recover unknown aperiodic binary signals submerged in noise, with the help of adaptive particle swarm optimisation (APSO) algorithm to optimize parameters for signal recovery.
PRAMANA-JOURNAL OF PHYSICS
(2021)
Article
Mathematics, Interdisciplinary Applications
B. I. Usama, S. Morfu, P. Marquie
Summary: This work numerically investigates the impact of system nonlinearity on Vibrational Resonance (VR) and Ghost-Vibrational Resonance (GVR) phenomena in a Chua's circuit model driven by external perturbed excitation. It was found that the system with a truncated sinusoidal nonlinearity outperforms the one with a sawtooth nonlinearity in terms of response to perturbations. By exciting the system with two low frequency inputs and an additive high frequency perturbation, different ranges of perturbation amplitudes where VR and GVR phenomena are maximized were identified. The system can synchronize its response with the ghost frequency or one of the two input low frequencies depending on the perturbation amplitude.
CHAOS SOLITONS & FRACTALS
(2021)
Article
Automation & Control Systems
Shijia Fu, Haoyuan Sun, Honggui Han
Summary: This paper presents a data-driven model predictive control strategy for stabilizing unknown nonlinear systems with aperiodic sampling. The proposed method approximates the dynamics of the system using a linearized polytopic approximation dynamic and designs a data-driven controller to solve the optimal steady-state and control problems sequentially, enabling online tracking of the desired output.
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS
(2023)
Article
Computer Science, Information Systems
Ting Li, Yiming Zhang, Hao Liu, Guangtao Xue, Ling Liu
Summary: Spectral clustering (SC) is widely used in industrial product analysis as an unsupervised learning method. Compressive spectral clustering (CSC) accelerates clustering effectively but suffers from expensive computation and time-consuming interpolation. The proposed fast compressive spectral clustering (FCSC) method addresses these issues by assuming eigenvalues satisfy local uniform distribution and reconstructing denoised Laplacian matrix with low-dimensional representation. The experimental results show that FCSC significantly reduces computation time while maintaining high clustering accuracy.
IEEE TRANSACTIONS ON BIG DATA
(2022)
Article
Engineering, Electrical & Electronic
Di He, Ling Pei, Xin Chen, Lingge Jiang, Lijuan Sun, Jiaqing Qu, Wenxian Yu
Summary: The paper introduces a novel wireless localization approach based on twice receiving array signal spectra fusions and asymmetric second-order stochastic resonance (ASSR) networks, which significantly improves precision under low SNR conditions.
IEEE TRANSACTIONS ON COMMUNICATIONS
(2021)
Article
Mathematics, Applied
Xinru Zhang, Qingzhi Wang, Baozeng Fu
Summary: This paper introduces an aperiodic time-triggered intermittent control (ATIC) approach, which allows variable sampling periods compared to the traditional time-triggered intermittent control (TIC). The exponential stability theorem for the deduced ATIC system is established with the aid of the constructed mixed time-dependent Lyapunov functional (MTLF). The exponential stabilization criterion is formulated based on it, enabling the design of ATIC. A simulation example is provided to verify the validity and superiority of the obtained results.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2023)
Article
Automation & Control Systems
Jiarong Li, Haijun Jiang, Jinling Wang, Cheng Hu, Guoliang Zhang
Summary: This article investigates the H infinity exponential synchronization problem for complex networks with quantized control input, introducing an aperiodic sampled-data-based event-triggered scheme to reduce network workload. A new method based on the discrete-time Lyapunov theorem is employed to solve the sampled-data problem, deriving several sufficient conditions to ensure H infinity exponential synchronization. Numerical simulations demonstrate that the proposed control schemes are effective in reducing the amount of transmitted signals while maintaining desired system performance.
IEEE TRANSACTIONS ON CYBERNETICS
(2022)
Article
Computer Science, Information Systems
Ping Zhao, Ben Niu, Wei Feng, Zhiguo Yan
Summary: This article examines input-to-state stability (ISS) and stabilization for sampled-data systems under deterministic aperiodic sampling and random sampling, providing corresponding ISS and SISS criteria and designing a piecewise controller to maintain ISS properties.
Article
Neurosciences
Pierpaolo Sorrentino, Emahnuel Troisi Lopez, Antonella Romano, Carmine Granata, Marie Constance Corsi, Giuseppe Sorrentino, Viktor Jirsa
Summary: This study demonstrates that the non-linear part of brain signals carries individual-specific information, playing a crucial role in differentiation. By using neuronal avalanches to characterize fast dynamics between individuals, and comparing with Pearson's correlation, the study shows that selecting the moments and places where neuronal avalanches spread can improve differentiation.
Article
Mechanics
Jinbin Wang, Rui Zhang, Jiankang Liu
Summary: This paper investigates the vibrational resonance phenomenon in a fractional order Toda oscillator model with asymmetric potential. The theoretical analysis and numerical simulations reveal that the fractional order has a significant influence on vibrational resonance, which can be induced by changing the value of the fractional order. Moreover, establishing a fractional order model provides a new approach to amplify weak low-frequency signals.
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS
(2023)
Article
Engineering, Multidisciplinary
Shuai Zhang, Zhongqiu Wang, Jianhua Yang
Summary: The paper studies the dynamic response of a Duffing system from self-induced resonance to system resonance. Numerical simulation shows that the system response gradually transitions from self-induced resonance to system resonance with the increase of the pulse amplitude of the signal. To describe this process, the quality factor of the system response is defined. A novel method is developed to evaluate the severity of rolling bearing early damage based on the evolution from self-induced resonance to system resonance.
ASCE-ASME JOURNAL OF RISK AND UNCERTAINTY IN ENGINEERING SYSTEMS PART B-MECHANICAL ENGINEERING
(2023)
Article
Mathematics, Applied
Mattia Coccolo, Jesus M. Seoane, Stefano Lenci, Miguel A. F. Sanjuan
Summary: This article considers the nonlinear Duffing oscillator with fractional damping, studying the relationship between the fractional parameter, amplitude of oscillations, and asymptotic times in both underdamped and overdamped regimes. The study shows that, in the overdamped regime, oscillations can occur for fractional order derivatives and their amplitudes and asymptotic times can abruptly change with small variations in the fractional parameter. Additionally, resonant-like behavior can occur for suitable parameter values. These findings are supported by calculating the corresponding Q-factor.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2023)
Article
Mathematics, Applied
Irina Bashkirtseva, Lev Ryashko, Javier Used, Miguel A. F. Sanjuan, Jesus M. Seoane
Summary: This paper considers a stochastic version of the Chialvo model of neural activity, focusing on its mono- and bistability and the phenomenon of oscillatory spiking attractors forming closed invariant curves. The stochastic effects of excitement and bursting generation are studied numerically and analytically. The paper also discusses the noise-induced transition to chaos in a two-parametric zone and the synchronization phenomenon between neurons in a two-neuron network.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2023)
Article
Instruments & Instrumentation
Zhile Wang, Jianhua Yang, Yu Guo, Tao Gong, Zhen Shan
Summary: The vibration signal of rolling bearing exhibits obvious nonstationary characteristics when the load and speed of rotating machinery change. Traditional stochastic resonance (SR) methods are not effective in extracting the nonstationary features of rolling bearings under strong noise background. This paper introduces an adaptive frequency-shift SR method combined with order analysis (OA), which successfully extracts the fault features of rolling bearing in variable speed conditions.
REVIEW OF SCIENTIFIC INSTRUMENTS
(2023)
Article
Acoustics
Wenbo Wang, Weiwei Guo, Houguang Liu, Jianhua Yang, Songyong Liu
Summary: This paper proposes a novel structured multi-target ensemble learning (SMTEL) framework to improve speech quality and intelligibility. The method captures the basis matrices of clean speech, noise, and ideal ratio mask (IRM) using sparse nonnegative matrix factorization and co-trains them with a multi-target DNN. A joint training single layer perceptron is then proposed to integrate the two targets and further enhance speech quality and intelligibility. Experimental results show that the proposed method achieves the best enhancement effect in visible nonstationary noise environment with low network cost and complexity.
Article
Mathematics, Applied
Shengping Huang, Jiacheng Zhang, Jianhua Yang, Houguang Liu, Miguel A. F. Sanjuan
Summary: In this study, we replace the bias parameter with an anharmonic signal with a constant component in the Fourier series to induce logical vibrational resonance and solve the problem of maintaining system symmetry. We add an anharmonic low-frequency signal as a slowly-varying signal and another high-frequency signal as a fast-varying signal in the symmetric bistable system. Through numerical simulation, we find the optimal logic output region and explain it using bifurcation theory. The simulation results are further verified by a hardware circuit, showing the occurrence of logical vibrational resonance in the symmetric bistable system and its necessary condition.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2023)
Article
Physics, Multidisciplinary
Zhongqi Xu, Zhongqiu Wang, Jianhua Yang, Miguel A. F. Sanjuan, Bowen Sun, Shengping Huang
Summary: We investigated aperiodic stochastic resonance (ASR) in a biased monostable system subjected to weak aperiodic pulse signals and strong noise. Compared with the bistable system, the biased monostable system has a unique advantage in processing weak aperiodic pulse signals. The effects of noise, system parameters, and iteration step on ASR were examined in detail. The results showed that ASR induced by a certain noise intensity was more pronounced, and there were optimal system parameters and iterative steps to achieve the best ASR output. The shape and potential well height of the biased monostable system can be fine-tuned from multiple angles to achieve optimal output. An application study on weak damage signals of wire rope in a noise background verified the importance of ASR in the biased monostable system.
EUROPEAN PHYSICAL JOURNAL PLUS
(2023)
Article
Mathematics, Interdisciplinary Applications
Julia Cantisan, Jesus M. Seoane, Miguel A. F. Sanjuan
Summary: This study proposes a minimal model for self-propelled chiral particles with inertia, showing different types of vortices. The research finds that cluster size and clustering coefficient increase with particle packing, and classifies three new types of vortices. These findings are important for understanding patterns in nature and designing particles with desired arrangements.
CHAOS SOLITONS & FRACTALS
(2023)
Article
Materials Science, Characterization & Testing
Xiaogang Huang, Haoyang Qu, Meilei Lv, Jianhua Yang
Summary: This paper presents a fault diagnosis method for rolling bearings based on a spectral kurtosis graph and lightweight Fused-MBConv neural network. The method can diagnose bearing faults under time-varying speeds and achieves high accuracy in experiments.
RUSSIAN JOURNAL OF NONDESTRUCTIVE TESTING
(2023)
Article
Materials Science, Characterization & Testing
Chen Yang, Zhongqiu Wang, Tao Gong, Jianhua Yang
Summary: A new diagnosis method for bearing unknown faults is proposed in this study, which can adaptively diagnose faults in single or multiple parts of the bearing. The method utilizes ensemble empirical mode decomposition and sample entropy index to select the target frequency band containing potential fault features. The advantages of sample entropy in anti-noise interference are also analyzed. The proposed approach is validated using both simulated and experimental signals.
RUSSIAN JOURNAL OF NONDESTRUCTIVE TESTING
(2023)
Editorial Material
Neurosciences
Jiajia Li, Rong Wang, Pan Lin, Miguel A. F. Sanjuan, Ying Wu
FRONTIERS IN NEUROSCIENCE
(2023)
Article
Physics, Fluids & Plasmas
Alexandre R. Nieto, Jesus M. Seoane, Miguel A. F. Sanjuan
Summary: In this paper, we investigate the destruction of the main Kolmogorov-Arnold-Moser (KAM) islands in two-degree-of-freedom Hamiltonian systems. We find that this destruction occurs through a cascade of period-doubling bifurcations. By conducting a systematic grid search, we identify numerous very small KAM islands (islets) below and above a certain accumulation point. We also study the bifurcations involved in the formation of these islets and classify them into three different types. Furthermore, we demonstrate that similar types of islets appear in generic two-degree-of-freedom Hamiltonian systems and area-preserving maps.
Article
Engineering, Electrical & Electronic
Zhen Shan, Zhongqiu Wang, Jianhua Yang, Qiang Ma, Tao Gong
Summary: In this article, a method for diagnosing rolling bearing faults under varying speed is proposed, which can effectively extract weak fault features and diagnose them. The proposed method decomposes the signal into modal components using a novel time-frequency mode decomposition (TFMD) method and enhances the features of each modal component through feature fusion. Simulation and experimental results demonstrate the high accuracy and robustness of the TFMD in bearing fault diagnosis.
IEEE TRANSACTIONS ON INSTRUMENTATION AND MEASUREMENT
(2023)
Article
Physics, Multidisciplinary
Zhong-Qiu Wang, Jian-Hua Yang
Summary: This study focuses on the aperiodic resonance of a typical nonlinear system excited by a single aperiodic binary or M-ary signal and its measuring method. The results show that the cross-correlation coefficient can better describe the synchronization and waveform similarity between the system output and the input aperiodic signal, while the response amplitude gain can better describe the amplification of signal amplitude after passing through the nonlinear system. The bit error rate can describe the synchronization between the system output and the input signal and the degree of amplification of the aperiodic signal after passing through the nonlinear system.
ACTA PHYSICA SINICA
(2023)
Article
Mathematics, Applied
Shangyuan Li, Zhongqiu Wang, Jianhua Yang, Miguel A. F. Sanjuan, Shengping Huang, Litai Lou
Summary: This article investigates the transient ultrasensitive vibrational resonance phenomenon in coupled nonlinear systems. By increasing the damping coefficient and coupling strength, the vibrational resonance pattern can transform from ultrasensitive to conventional. The occurrence of different vibrational resonance patterns is related to the system response state, where ultrasensitive vibrational resonance is usually accompanied by transient chaotic behavior, while conventional vibrational resonance corresponds to periodic or doubly periodic responses.
