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Statistical complexity and stochastic resonance in bistable coupled network systems excited by non-Gaussian noise 认领 引用
1
作者 Meijuan He Lingyun Li +1 位作者 Wantao Jia Jiangang Zhang 《Chinese Physics B》 SCIE EI CAS CSCD 2026年第3期228-235,共8页
This study investigates stochastic resonance(SR)phenomena in bistable coupled networks driven by non-Gaussian noise.Employing signal-to-noise ratio(SNR)and statistical complexity as quantitative metrics,we characteriz... This study investigates stochastic resonance(SR)phenomena in bistable coupled networks driven by non-Gaussian noise.Employing signal-to-noise ratio(SNR)and statistical complexity as quantitative metrics,we characterize the SR behavior.First,the dimensionality of a coupled network system is reduced via the mean field theory.Subsequently,we derive closed-form analytical expressions of SNR by the path integral method,the slaving principle and the two-state model theory.Numerical simulations are used to validate the consistency between SR features identified through statistical complexity and those obtained via SNR calculations,thereby corroborating the reliability of our analytical framework.Both theoretical and numerical results conclusively demonstrate the occurrence of SR in the network system.Parametric analyses further elucidate the modulation of SR characteristics by three critical factors:non-Gaussian noise intensity parameters,noise correlation timescale and inter-node coupling strength.Finally,we explore the system's size resonance properties. 展开更多
关键词 non-Gaussian noise bistable coupled network systems statistical complexity measure stochastic resonance
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Coupling-diversity-enhanced weak signal propagation in bistable networks 认领 引用
2
作者 Yashi Zhang Shanshan Cheng +1 位作者 Jie Fu Lulu Lu 《Chinese Physics B》 SCIE EI CAS CSCD 2026年第4期155-163,共9页
Coupling diversity significantly shapes signal transmission and enhancement by modulating internal component interactions in nonlinear systems.Existing theoretical studies on coupling diversity have primarily focused ... Coupling diversity significantly shapes signal transmission and enhancement by modulating internal component interactions in nonlinear systems.Existing theoretical studies on coupling diversity have primarily focused on one-dimensional bistable systems,which are limited to single-variable scenarios and simple dynamical behaviors and thus fail to adapt to complex real-world systems or reveal multi-dimensional mechanisms.To address these limitations,the present study extends this investigation to two-dimensional globally coupled bistable systems.The research team explores the law of weak signal propagation in a globally coupled model composed of bistable oscillators,in which the coupling strength between oscillators follows a Gaussian distribution.Through dual verification via numerical simulations and analytical calculations,we confirm that when the coupling diversity is at an intermediate level,a resonance effect is induced within the system.This effect directly causes the system's dynamical properties to bifurcate into three oscillation clusters with significant differences.Such a bifurcation phenomenon can significantly amplify the system's collective response to weak external signals.Specifically,with an increase in the mean coupling strength,the peaks of the spectral amplification factor become higher,and the optimal variance exhibits a right-shifting trend.Notably,this phenomenon stably emerges across different system sizes,demonstrating the robustness of the system.This finding provides a reference for a deeper understanding of the regulatory mechanism of coupling diversity in weak signal propagation. 展开更多
关键词 coupling diversity weak signal propagation bistable oscillators analytical calculations
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Structural design and analysis of vibration reduction characteristics of a bistable buckled beam absorber 认领 引用
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作者 Yunan Zhu Xiangying Guo Dongxing Cao 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2026年第2期143-159,共17页
Bistable beams have shown remarkable performance in vibration energy harvesting,attracting considerable attention.However,their potential for vibration reduction remains largely unexplored.To achieve an integrated des... Bistable beams have shown remarkable performance in vibration energy harvesting,attracting considerable attention.However,their potential for vibration reduction remains largely unexplored.To achieve an integrated design for energy harvesting and vibration control,this study focuses on a bistable buckled beam absorber(BBBA)structure to evaluate its vibration suppression capabilities.The findings provide new insights into the synergistic application of bistable beams for effective vibration control and potential energy harvesting.The core structure of the BBBA comprises an elastic beam with two stable equilibrium positions.By applying a driving torque,the potential energy barrier is reduced,enhancing snap-through behavior and improving vibration control performance.A novel modeling approach for the BBBA is proposed to systematically analyze its dynamic behavior.The buckling characteristics of the structure are analyzed,and a dynamic model of the buckled beam is established.Finite element simulations are conducted to compute the snap-through process and natural frequencies,revealing the relationship between the movable hinge position and the critical snap-through load.Finally,a BBBA prototype is fabricated,and sweep frequency tests are performed to determine its effective operating frequency range,identified as 4–17 Hz.The BBBA’s vibration suppression performance is evaluated using a manipulator model,demonstrating up to a 60%reduction in vibration amplitude within this frequency range.These findings provide both theoretical and experimental support for the application of BBBAs in engineering vibration mitigation. 展开更多
关键词 Vibration control Absorber Bistable Buckled beam
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Design,optimization,and validation of a bistable modified Kresling origami structure for deployable space capsules 认领 引用
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作者 Sicheng LI Yuxiang ZHANG +2 位作者 Ping XIANG Minger WU Zhi ZHUANG 《Chinese Journal of Aeronautics》 SCIE EI CAS CSCD 2026年第6期272-289,共18页
The multi-stability of non-rigid origami-based structures,such as Kresling origami structures,has shown great potential for creating deployable and adaptable engineering systems.This study explores the design and opti... The multi-stability of non-rigid origami-based structures,such as Kresling origami structures,has shown great potential for creating deployable and adaptable engineering systems.This study explores the design and optimization of a deployable,bistable origami structure using a modified Kresling crease pattern.By introducing truncations between layers,the traditional Kresling design is adapted into a multi-layer deployable structure with integral bistability.A parametric model of the modified structure was developed,enabling visualization and optimization of design parameters.Non-dominated Sorting Genetic Algorithm II(NSGA-II)was applied to optimize the folding ratio and energy barrier,identifying configurations that were compact when folded and easier to deploy.Numerical simulations validated the bistable behavior,confirming structural stability after folding and deploying.Scaled models were tested for deployability through inflation and load-bearing capacity under puncture conditions to verify practical functionality.The results demonstrate the structure’s robust bistability and its ability to withstand internal pressure variations.These findings suggest that the modified Kresling origami structure is promising for applications in inflatable-deployable space capsules and habitats. 展开更多
关键词 Bistability Deployable structures Inflatable structures Kresling origami Parametric model Performance optimization
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Bistable Goos-Hanchen shift owing to leaky-mode excitation in a slab waveguide with Kerr nonlinear medium 认领 引用
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作者 Yuan-Ping Cai Li Jiang Ren-Gang Wan 《Chinese Physics B》 SCIE EI CAS CSCD 2026年第4期417-424,共8页
We investigate the nonlinear Goos-Hanchen shift of a light beam reflected from a prism-coupled leaky waveguide containing a Kerr medium.As the incident power varies,the system can switch between two states,total inter... We investigate the nonlinear Goos-Hanchen shift of a light beam reflected from a prism-coupled leaky waveguide containing a Kerr medium.As the incident power varies,the system can switch between two states,total internal reflection and frustrated total reflection,owing to the inherent positive feedback arising from the intensity-dependent guiding mode resonance.The reflectance exhibits optical bistability;meanwhile,the lateral shift of the reflected beam also shows hysteresis behavior.It is found that the transition between the two stable states is related to the excitation of a leaky mode in the waveguide,which results from the modulation of the electric field in the nonlinear substrate.We also analyze the effects of system parameters on the bistable Goos-Hanchen shift.The thresholds as well as the width of the hysteresis curve are sensitive to the thicknesses of the gap layer and the guiding layer,which determine the resonance angle.The bistable lateral displacement in the slab waveguide may have potential applications in optical switching,beam steering,etc. 展开更多
关键词 Goos-Hanchen shift optical bistability waveguide nonlinear optics
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A Spinal Bistable Oscillator for Autonomous Actuation and Tunable Frequency on Crawling Robot 认领 引用
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作者 Wenwei Wang Jitao Peng +3 位作者 Lei Liu Yehui Shen Jinfang Shi Hongbin Zang 《Journal of Bionic Engineering》 SCIE EI CSCD 2025年第1期96-106,共11页
Pneumatic soft robots have undergone significant advancements in recent years.However,the majority of robot motion control still relies on electronic computers to regulate the valves and air pumps.Despite the potentia... Pneumatic soft robots have undergone significant advancements in recent years.However,the majority of robot motion control still relies on electronic computers to regulate the valves and air pumps.Despite the potential reduction in controller dependency by utilizing soft pneumatic oscillators,challenges such as low flow rates,complex manufacturing processes,and lack of adjustment ability persist.Inspired by the geckos'spine,we propose a Spinal Bistable Oscillator(SBO)that operates without discrete components or electronic control hardware,achieving stable oscillatory motion under constant air pressure.This oscillator employs a soft control valve and lagging pin,which can switch the direction of airflow conduction based on the oscillation angle of the spine.Different types of actuators can be controlled using a series connection.In this study,the effective working range of the soft control valve,influence of the spring pretension force on the torque during oscillation,and effect of different throttle tube lengths on the oscillation frequency were investigated.Furthermore,a self-crawling robot was developed.Experimental results demonstrate that the robot can crawl at speeds ranging from 3.6 to 5.7 mm/s(or 3.1 to 4.9 body length/min)and overcome its own gravity(with a weight of 165 g)to climb vertically.The SBO proposed in this study exhibits characteristics of lightweight,low cost,high oscillation torque,and tunable frequency.It holds promise for application in joint control of future pneumatic soft robots. 展开更多
关键词 Spinal bistable oscillator Self-crawling robot Physical intelligence Pneumatic soft robot
Study on the mechanical behavior of a bistable beam under third-order mode deformation 认领 引用
7
作者 Yunzhou Wang Binbin Zheng Minghui Fu 《Theoretical & Applied Mechanics Letters》 EI CAS CSCD 2025年第4期410-419,共10页
Bistable beams,with their characteristic recoverable elastic large deformations,are widely utilized in reversible deformation designs.However,analytical modeling of bistable beams under third-order mode deformation re... Bistable beams,with their characteristic recoverable elastic large deformations,are widely utilized in reversible deformation designs.However,analytical modeling of bistable beams under third-order mode deformation remains a challenge.For example,theoretical research on bistable beams in existing energy-consuming materials has focused mainly on the deformation process of the second-order mode.To address this challenge,the present work establishes an analytical model for the deformation process of a bistable beam from the first-order mode to the third-order mode via the elliptic integral method.Additionally,judgment conditions for identifying the critical points of modal transitions are provided.Second,the analytical model allows for the calculation of the maximum instability force and the unstable equilibrium position when third-order mode deformation occurs in the bistable beam during the snap-through process.The unstable equilibrium position of the bistable beam during third-order mode deformation is significantly lower than the positions of the two fixed ends.The validity of the analytical model was confirmed through experiments and finite element modeling.In the compression experiments of bistable beams with identical dimensional parameters presented in the present work,the work done by the external force during the third-order mode deformation process is 2 times that of the second-order mode deformation process.This will provide a completely new approach for the design of energy-consuming materials based on bistable beams. 展开更多
关键词 Bistable beams Elliptic integral method Snap-through Third-order mode Zero bending moment point
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Instant Energy Barrier Modulation in Bistable Robotic Grippers for Compliant Triggering and Powerful Grasping 认领 引用
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作者 Jie Zhang Hao Yang +8 位作者 Chenyu He Hanfei Ma Yuwen Zhao Zongyu Zhang Shengming Li Wei Wang Jinzhao Yang Jianing Wu Haijun Peng 《Research》 SCIE EI CSCD 2026年第2期487-499,共13页
Bistable structures,which leverage mechanical instability,have emerged as a promising paradigm in the development of robotic grippers,providing advantages including rapid response and low energy consumption.A critical... Bistable structures,which leverage mechanical instability,have emerged as a promising paradigm in the development of robotic grippers,providing advantages including rapid response and low energy consumption.A critical limitation of existing bistable grippers,however,lies in their invariable energy barriers,which hinder the balance between compliant triggering and powerful grasping.In this study,we propose a bistable robotic gripper capable of in situ energy barrier modulation,inspired by the adaptive seed dispersal behavior of Impatiens pods.This robotic gripper features an elastic curved beam-based architecture integrated with a motor-driven mechanism,enabling dynamic regulation of its energy landscape.This approach allows the energy barrier to be tuned over an order of magnitude during manipulation.In the low-barrier state,the robotic gripper initiates object interaction with a triggering force as low as O.66 N,allowing for delicate manipulation.Upon state transition,instant energy barrier modulation(~300 ms)enhances grasping stability,achieving failure forces up to 12.08 N.This adaptive modulation strategy enables our robotic gripper to implement rapid,compliant,and powerful interaction.When incorporated into an unmanned aerial vehicle,the robotic gripper showcases reliable perching across diverse scenarios,highlighting the potential of energy barrier modulation to advance the adaptability and functionality of robotic systems. 展开更多
关键词 adaptive seed dis bistable gripper bistable structureswhich energy barrier modulation mechanical instabilityhave bistable grippershoweverlies bistable robotic gripper robotic grippersproviding
Experimental study on broadband bistable energy harvester with L-shaped piezoelectric cantilever beam 认领 引用 被引量：16
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作者 Minghui Yao Pengfei Liu +2 位作者 Li Ma Hongbo Wang Wei Zhang 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2020年第3期557-577,共21页
This paper presents an experimental study of the broadband energy harvesting and dynamic responses of an L-shaped piezoelectric cantilever beam.Experimental results show that the L-shaped piezoelectric beam generates ... This paper presents an experimental study of the broadband energy harvesting and dynamic responses of an L-shaped piezoelectric cantilever beam.Experimental results show that the L-shaped piezoelectric beam generates two optimal voltage peaks when the horizontal beam size is similar to the vertical beam size.Several optimized L-shaped piezoelectric cantilever beam structures are proposed.Power generation using the inverted bistable L-shaped beam is better.It is observed experimentally that the inverted bistable L-shaped beam structure shows obvious bistable characteristics and hard spring characteristics.Furthermore,the corresponding relationship between the bistable phase portrait and the potential energy curve is found in the experiment.This is the first time that a phase portrait for stiffness hardening of an L-shaped beam has been found experimentally.These results can be applied to analysis of new piezoelectric power generation structures. 展开更多
关键词 Bistable piezoelectric energy harvester Inverted L-shaped beam Power generation Effective frequency bandwidth Nonlinear dynamics
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Nonlinear characterization and performance optimization for broadband bistable energy harvester 认领 引用 被引量：8
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作者 Ting Tan Zhimiao Yan +3 位作者 Kejing Ma Fengrui Liu Linchuan Zhao Wenming Zhang 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2020年第3期578-591,共14页
As two crucial indicators of bistable energy harvesting performance,band width and power amplitude are simultaneously investigated for obtaining the synergy effect.Toward this goal,a nonlinear electromechanical-couple... As two crucial indicators of bistable energy harvesting performance,band width and power amplitude are simultaneously investigated for obtaining the synergy effect.Toward this goal,a nonlinear electromechanical-coupled distributed-parameter model of the bistable piezoelectric energy harvester is established.Based on the electromechanical decoupled method,approximate higher-order analytical solutions of the beam displacement,harvested power and effective bandwidth are derived.The cubic-function discriminant of the analytical solution is introduced to determine the nonlinear excitation-frequency boundaries of multiple solutions and power peak.The stability of the multiple solutions is analyzed through Jacobi matrix of the modulation equation.Superharmonic resonance is notified.Upward and downward sweep experiments and numerical solutions of time history curves,phase portraits and power spectra confirm the analytical findings.To realize optimized broadband energy harvesting,the parametric study on the coefficients of the linear and cubic elastic external forces with the corresponding optimal load resistance is performed.For the nonlinear hardening case,more positive linear coefficient is preferred.For the nonlinear softening case,the cubic coefficient slightly larger than its optimal value is recommended at each given linear coefficient.By tuning the load resistance and linear and cubic coefficients of the external force,broadband bistable energy harvesting with optimized power is realized. 展开更多
关键词 Vibration energy harvesting Bistable solution Broadband Superharmonic resonance
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Stochastic resonance in an asymmetric bistable system driven by coloured correlated multiplicative and additive noise 认领 引用 被引量：9
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作者 宁丽娟 徐伟 姚明礼 《Chinese Physics B》 SCIE EI CAS 2008年第2期486-491,共6页
This paper investigates the stochastic resonance （SR） phenomenon in an asymmetric system with coupling between multiplicative and additive noise when the coupling between two noise terms is coloured. The approximate... This paper investigates the stochastic resonance （SR） phenomenon in an asymmetric system with coupling between multiplicative and additive noise when the coupling between two noise terms is coloured. The approximate expression of signal-to-noise ratio has been obtained by applying the two-state theory and SR exhibits in the bistable system. Moreover, the potential asymmetry r and cross-correlation strength λ can weaken the SR phenomenon, while the cross-correlation time r can strengthen the SR phenomenon. 展开更多
关键词 stochastic resonance asymmetry bistable system signal-to-noise ratio
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Bistable Stochastic Resonance Enhanced 4-ary PAM Signal Detection under Low SNR 认领 引用 被引量：3
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作者 Linlin Liang Nina Zhang +1 位作者 Haiyan Huang Zan Li 《China Communications》 SCIE CSCD 2019年第4期196-207,共12页
To boost the performance of 4-ary pulse amplitude modulated(PAM) at low signal-to-noise ratio(SNR), bistable stochastic resonance(BSR) system is introduced into digital communications system and get a reliable signal ... To boost the performance of 4-ary pulse amplitude modulated(PAM) at low signal-to-noise ratio(SNR), bistable stochastic resonance(BSR) system is introduced into digital communications system and get a reliable signal detection scheme. In this paper, we first analyse BSR system for different amplitudes of 4-ary PAM signals. The steadystate of the bistable system will be statistically distinct, and the feasibility of the proposed detection scheme is confirmed. On this basis, we present a detailed study on steady-state transitions of the BSR system, and an explicit expression of the bistable system parameters is derived. By setting the bistable system parameters, bistable system, 4-ary PAM signal, and noise reach the resonance state, and the BSR-based detection scheme is implemented. Moreover, we derive an analytical expression to calculate the symbol error rate(SER) of 4-ary PAM signals with the BSR-based detection under additive white Gaussian noise(AWGN). Finally, the simulation results validate that BSR-based detection scheme can improve the detection performance while efficiently reducing the symbol error rate. 展开更多
关键词 4-ary pulse amplitude modulated signal detection Low SNR Symbol error rate(SER) Bistable stochastic resonance(BSR)
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Stochastic resonance in a time-delayed bistable system subject to multiplicative and additive noise 认领 引用 被引量：7
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作者 郭锋 周玉荣 张宇 《Chinese Physics B》 SCIE EI CAS 2010年第7期86-90,共5页
This paper investigates the stochastic resonance in a time-delayed bistable system subjected to multiplicative and additive white noise and asymmetric dichotomous noise. Under the adiabatic approximation condition, th... This paper investigates the stochastic resonance in a time-delayed bistable system subjected to multiplicative and additive white noise and asymmetric dichotomous noise. Under the adiabatic approximation condition, the expression of the signal-to-noise ratio （SNR） is obtained. It finds that the SNR is a non-monotonic function of the delayed times, of the amplitude of the driving square-wave signal, as well as of the asymmetry of the dichotomous noise. In addition, the SNR varies non-monotonously with the intensities of the multiplicative and additive noise as well as the system parameters. Moreover, the SNR depends non-monotonically on the correlate rate of the dichotomous noise. 展开更多
关键词 stochastic resonance time-delayed bistable system signal-to-noise ratio
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Analytical model for predicting folding stable state of bistable deployable composite boom 认领 引用 被引量：4
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作者 Tianwei LIU Jiangbo BAI Nicholas FANTUZZI 《Chinese Journal of Aeronautics》 SCIE EI CAS CSCD 2024年第8期460-469,共10页
Bistable Deployable Composite Boom(Bi-DCB)can achieve bistable function by storing and releasing strain energy,which has a good application prospect in space field.For example,it serves as the main support section of ... Bistable Deployable Composite Boom(Bi-DCB)can achieve bistable function by storing and releasing strain energy,which has a good application prospect in space field.For example,it serves as the main support section of deployable structures(e.g.,solar arrays and antennas).This paper investigates folding stable state of Bi-DCB through the analytical method.Based on Archimedes’helix and energy principle,an analytical model for predicting folding stable state of Bi-DCB was presented.The failure index of Bi-DCB in folding stable state were analyzed using the Tsai-Hill criterion and the maximum stress criterion.Then,a 2400 mm long Bi-DCB was fabricated using autoclave method.The prediction results of the proposed model were compared with experiments and results of two other analytical models.It is shown that the proposed model shows good prediction accuracy.Finally,the effect of geometric parameters on folding stable state of Bi-DCB was further investigated with the aid of the proposed model. 展开更多
关键词 Bistable Deployable composite boom Solar arrays Antennas Archimedes’helix Folding Failure analysis
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Stochastic resonance in a stochastic bistable system with additive noises and square-wave signal 认领 引用 被引量：3
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作者 郭锋 罗向东 +1 位作者 李少甫 周玉荣 《Chinese Physics B》 SCIE EI CAS 2010年第8期144-150,共7页
This paper considers the stochastic resonance in a stochastic bistable system driven by a periodic square-wave signal and a static force as well as by additive white noise and dichotomous noise from the viewpoint of s... This paper considers the stochastic resonance in a stochastic bistable system driven by a periodic square-wave signal and a static force as well as by additive white noise and dichotomous noise from the viewpoint of signal-to-noise ratio. It finds that the signal-to-noise ratio appears as stochastic resonance behaviour when it is plotted as a function of the noise strength of the white noise and dichotomous noise, as a function of the system parameters, or as a function of the static force. Moreover, the influence of the strength of the stochastic potential force and the correlation rate of the dichotomous noise on the signal-to-noise ratio is investigated. 展开更多
关键词 stochastic resonance stochastic bistable system dichotomous noise
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Asymmetric Effects on Escape Rates of Bistable System 认领 引用 被引量：3
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作者 王参军 戴祖诚 梅冬成 《Communications in Theoretical Physics》 SCIE CAS CSCD 2011年第12期1041-1044,共4页
The asymmetric effects on the escape rates from the stable states x±in the bistable system are analyzed. The results indicate that the multiplicative noise and the additive noise always enhance the particle escap... The asymmetric effects on the escape rates from the stable states x±in the bistable system are analyzed. The results indicate that the multiplicative noise and the additive noise always enhance the particle escape from stable states x±of bistable.However,the asymmetric parameter r enhances the particle escape from stable state x_+,and holds back the particle escape from stable state x_-. 展开更多
关键词 bistable system escape rate asymmetric effects noise
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Controlling and synchronizing spatiotemporal chaos of the coupled Bragg acousto-optical bistable map system using nonlinear feedback 认领 引用 被引量：12
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作者 岳立娟 沈柯 《Chinese Physics B》 CAS 2005年第9期1760-1765,共6页
In this paper we present the control and synchronization of a coupled Bragg acousto-optic bistable map system using nonlinear feedback technology. This nonlinear feedback technology is useful to control a temporally c... In this paper we present the control and synchronization of a coupled Bragg acousto-optic bistable map system using nonlinear feedback technology. This nonlinear feedback technology is useful to control a temporally chaotic system as well as a spatiotemporally chaotic system. It can be extended to synchronize the spatiotemporal chaos. It can work in a wide range of the controlled and synchronized signals, so it can decrease the sensitivity down to a noise level. The synchronization can be obtained by the analysis of the largest conditional Lyapunov exponent spectrum, and easily implemented in practical systems just by adjusting the coupled strength without any pre-knowledge of the dynamic system required. 展开更多
关键词 synchronization and control spatiotemporal chaos nonlinear feedback acousto-optic bistable map system
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Transient Properties of a Bistable System with Delay Time Driven by Non-Gaussian and Gaussian Noises:Mean First-Passage Time 认领 引用 被引量：2
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作者 LI Dong-Xi XU Wei +1 位作者 GUO Yong-Feng LI Gao-Jie 《Communications in Theoretical Physics》 SCIE CAS 2008年第9期669-673,共5页
The mean first-passage time of a bistable system with time-delayed feedback driven by multiplicative non-Gaussian noise and additive Gaussian white noise is investigated.Firstly,the non-Markov process is reduced to th... The mean first-passage time of a bistable system with time-delayed feedback driven by multiplicative non-Gaussian noise and additive Gaussian white noise is investigated.Firstly,the non-Markov process is reduced to the Markov process through a path-integral approach;Secondly,the approximate Fokker-Planck equation is obtained by applying the unified coloured noise approximation,the small time delay approximation and the Novikov Theorem.The functional analysis and simplification are employed to obtain the approximate expressions of MFPT.The effects of non-Gaussian parameter(measures deviation from Gaussian character)r,the delay timeτ,the noise correlation time to,the intensities D and a of noise on the MFPT are discussed.It is found that the escape time could be reduced by increasing the delay timeτ,the noise correlation timeτ0,or by reducing the intensities D andα.As far as we know,this is the first time to consider the effect of delay time on the mean first-passage time in the stochastic dynamical system. 展开更多
关键词 mean first-passage time delay time non-Gaussian noise Gaussian noise bistable system
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Stochastic resonance in an asymmetric bistable system driven by coloured noises 认领 引用 被引量：7
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作者 杨建华 刘先斌 《Chinese Physics B》 SCIE EI CAS 2010年第5期92-97,共6页
The phenomenon of stochastic resonance is investigated in an asymmetric bistable system with coloured noises. The approximate Fokker Planck equation is derived based on the Novikov theorem and the Fox approach. By app... The phenomenon of stochastic resonance is investigated in an asymmetric bistable system with coloured noises. The approximate Fokker Planck equation is derived based on the Novikov theorem and the Fox approach. By applying the two-state theory, the expression of the signal-to-noise ratio is obtained in the adiabatic limit. The effects of the noise parameters on signal-to-ratio are discussed. It is found that the stochastic resonance phenomena appear in most cases and disappear in some special cases. 展开更多
关键词 stochastic resonance asymmetric bistable system coloured noises
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Analysis of chaos behaviors of a bistable piezoelectric cantilever power generation system by the second-order Melnikov function 认领 引用 被引量：5
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作者 Shu Sun Shu-Qian Cao 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2017年第1期200-207,共8页
By applying the second order Melnikov function, the chaos behaviors of a bistable piezoelectric cantilever power generation system are analyzed. Firstly, the conditions for emerging chaos of the system are derived by ... By applying the second order Melnikov function, the chaos behaviors of a bistable piezoelectric cantilever power generation system are analyzed. Firstly, the conditions for emerging chaos of the system are derived by the second order Melnikov function. Secondly, the effects of each item in chaos threshold expression are analyzed. The excitation frequency and resistance values, which have the most influence on chaos threshold value, are found. The result from the second order Melnikov function is more accurate compared with that from the first order Melnikov function. Finally, the attraction basins of large amplitude motions under different exciting frequency, exciting amplitude, and resistance parameters are given. 展开更多
关键词 Bistable piezoelectric cantilever beam Second order Melnikov function Homoclinic bifurcation Basin of attraction
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