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检索条件"任意字段=第十五届全国非线性振动暨第十二届全国非线性动力学与运动稳定性学术会议"

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Bursting mechanism in a periodic excited Duffing oscillator with nonlinear time-delay feedback

Bursting mechanism in a periodic excited Duffing oscillator ...

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第十五届全国非线性振动暨第十二届全国非线性动力学和运动稳定性学术会议

作者：余跃 Bi Qin-sheng Zhang Zheng-di Faculty of Civil Engineering and Mechanics Jiangsu University School of Science Nantong University

The paper investigates the generation of complex bursting patterns in the Duffing oscillator with nonlinear time-delayed *** patterns,including symmetric fold-fold,Hopf/Hopf and fold-Hopf bursting are obtained in the delayed equation when the periodic forcing changes *** analyze the bifurcations and dynamics of the system by regarding the delayed feedback and the periodic forcing as *** conditions of fold bifurcation as well as Hopf bifurcation and the stability related to forcing and time delay are presented,which have an intrinsic effect on the occurrence and mechanism of certain bursting *** regimes of bursting depending on the magnitude of the time delay itself and the strength of time delayed coupling are *** shows that the dynamics of the bursters in the delayed system are quite different from those of the bursters without *** particular,the time delay can be used as a tuning parameter to modulate the dynamics of bursting corresponding to the different types of the ***,the delayed bursting behaviors are illustrated by some numerical simulations.

关键词： bursting oscillations bifurcation mechanism Duffing oscillator time delay

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Stochastic resonance in some noise-driven gene networks regulated by small RNA

Stochastic resonance in some noise-driven gene networks regu...

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第十五届全国非线性振动暨第十二届全国非线性动力学和运动稳定性学术会议

作者： ZHU Ya-nan SHEN Jian-wei Department of Applied Mathematics Nothwestern Polytechnical University Institute of Applied Mathematics Xuchang University

Recently,more and more attention was paid to gene network regulated by small *** this paper,we study gaussian noise induced stochastic resonance in typical gene network regulated by small *** the fluctuations of small RNA as gaussian noise,we found that gaussian noise can induce oscillations when the deterministic system does not *** particular,stochastic oscillations appear to be rather regular for some moderate noise amplitude,which means that stochastic resonance appears for the moderate noise ***,It is found that gaussian noise can change the performance of oscillations when the deterministic system stays in the oscillatory ***,coordinate oscillations appear for an optimal noise *** is,stochastic resonance appears at an optimal noise intensity.

关键词： Small RNA Gene regulatory network Gaussian noise Stochastic resonance

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Hopf Bifurcation Analysis in a new Chaotic System

Hopf Bifurcation Analysis in a new Chaotic System

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第十五届全国非线性振动暨第十二届全国非线性动力学和运动稳定性学术会议

作者：蔡萍 Jia-Shi Tang Zhen-Bo Li College of Mechanical and Vehicle Engineering Hunan University

In this paper,Hopf bifurcation of a new system is *** new chaotic system is described by {=α（z-x）=bx-dxz=kxy-cy-gz （1） where x,y,z are the state variables,a,b,c,d,k,g are real *** strange chaotic attractor of the new chaotic system is shown with the help of the maximum Lyapunov ***（1） is equivalent to{x=α（z-x） y=b'x-x z=xy-c'y-gz,（2）under the linear transformation of coordinates x=（kd）x,y=ky,z=（kd）z,where b' = b（k/d）,c' = c（d/k）.For simplicity,we will still represent the two parameters as b,c in the following ***（2） has two equilibrium points:E（0,0,0） and E(b,gb/（b-c）,b).The existences of Hopf bifurcation at the two equilibriums are obtained by characteristic equations and corresponding dynamics of the system are studied by means of the first Lyapunov ***,the stable periodic orbits are *** simulations are carried out to illustrate the main theoretical results.

关键词： New chaotic system Hopf bifurcation The first Lyapunov coefficient Limit cycle

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Hopf Bifurcation Analysis in coupled Van der Pol-Duffing oscillators with two delays

Hopf Bifurcation Analysis in coupled Van der Pol-Duffing osc...

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第十五届全国非线性振动暨第十二届全国非线性动力学和运动稳定性学术会议

作者：魏周超 ZHANG Wei School of Mathematics and Physics China University of Geosciences College of Mechanical Engineering Beijing University of Technology

In this paper,a four-dimensional coupled Van der Pol-Duffing oscillators with two delays is *** main result is given in terms of local stability and Hopf *** conditions for local stability of the zero equilibrium and existence of the Hopf bifurcation with respect to both delays are obtained by analyzing the distribution of the roots of the associated characteristic *** particular,explicit formulae for determining the direction of the Hopf bifurcation and the stability of the bifurcating periodic solutions are established by using the normal form theory and center manifold *** addition,it is found that when delay passes through these critical values,chaotic oscillations are converted into a stable periodic *** numerical examples are also presented to verify the theoretical analysis.

关键词： Coupled oscillators Hopf Bifurcation Time delay Periodic solution Chaos

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Comparative research of nonlinear torsional vibration in the drive system with clearances

Comparative research of nonlinear torsional vibration in the...

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第十五届全国非线性振动暨第十二届全国非线性动力学和运动稳定性学术会议

作者： GAO Chong-yi DU Guo-jun LI Jian-xiong Key Laboratory of Mechanics Reliability for Heavy Equipment and Large Structure of Hebei Yanshan University Department of Automation Institute of Electrical EngineeringYanshan University

Considering causes of design,installation and wear,the drive system shows different clearances in a heavy plate *** oscillator has repeated impacts in clearance when biting impact or rolling slippage occurs,and the relative amplitude will be increased largely,which is the major factor of most system *** on the 5000 mm heavy plate mill,the torsional vibration models of biting impact and rolling slippage are established *** using the numerical method,the torque amplification factors of biting impact or rolling slippage are calculated,moreover the numerical computation results of dynamic response with clearances and comparative analysis of torsional vibration responses are obtained between different *** with the engineering practice,the influences of different position and size of clearance on torque amplification factors are *** results may provide an important theoretical reference to control and analyze the torsional vibration of this kind of rolling mill.

关键词： biting impact,rolling slippage clearances nonlinear torsional vibration torque amplification factor

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Random response evaluation of nonlinear vibration energy harvester

Random response evaluation of nonlinear vibration energy har...

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第十五届全国非线性振动暨第十二届全国非线性动力学和运动稳定性学术会议

作者：王神龙 JIN Xiao-ling WANG Yong HUANG Zhi-long Department of Engineering Mechanics Zhejiang University

Nonlinear vibration energy harvesters possess prominent broadband performances,thus the researches on this issue have received considerable *** the present manuscript,the nonlinear vibration energy harvesters with monostable or bistable potentials are considered respectively,and the evaluation procedure for the random responses to Gaussian white noise excitations are ***,a multi-dimensional Fokker-Plank-Kolmogorov equation governing the joint probability density of the mechanical states and electric voltage is derived according to the theory of diffusion *** multi-dimensional equation is then solved by splitting method,and the mean-square response and the mean output power is directly obtained by the joint probability *** with results from Monte-Carlo simulations illustrates the effectiveness of the proposed procedure for both monostable and bistable cases,even for cases with strong *** splitting method is efficient for higher-dimensional problem and possesses the advantages of simple implementation,less storage of intermediate values and so *** the proposed procedure is superior to the Monte-Carlo simulations for the random response evaluation of nonlinear vibration energy harvesters.

关键词： Nonlinear vibration energy harvesting Random response Splitting method Mean output power

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The mechanism of transformation of spatiotemporal pattern in neuronal network with chemical synapse

The mechanism of transformation of spatiotemporal pattern in...

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第十五届全国非线性振动暨第十二届全国非线性动力学和运动稳定性学术会议

作者：王荣 Wu Ying Li Jiajia State Key Laboratory for Strength and School of Aerospace Xi'an Jiaotong University

The spiral wave is a special spatiotemporal pattern and observed in neural *** is considered to associate with neural information transmission and some brain *** synapse related to memory storage has an important effect on spatiotemporal pattern dynamics,but the role of chemical synapse in the formation and transformation of spatiotemporal pattern is still unclear even though the most of synapse in brain is chemical synapse which makes the neural network more efficient in information *** paper studies the formation and transformation of spatiotemporal patterns in neuronal network with different chemical ***,the neuronal networks with AMPA and GABAA synapse are constructed,and the evolution of the spatiotemporal patterns is investigated by changing the coupling *** numerical simulation results show the spatiotemporal patterns including spiral wave only can appear in neuronal network with AMPA synapse,and the mechanism of which is explained by using bifurcation ***,the complexity for neuronal network is *** is confirmed that the pattern transforming is closely related to low complexity of neuronal *** conclusions not only match with experimental results about spiral wave,but also provide a new horizon on the evolution of spiral wave and the switching between different brain states.

关键词： spiral wave chemical synapse network complexity

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Modal Interaction Activations and Nonlinear Dynamic Response of Vertically Elastically Constrained Shallow Arch at One End for 3:1 Internal Resonance

Modal Interaction Activations and Nonlinear Dynamic Response...

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第十五届全国非线性振动暨第十二届全国非线性动力学和运动稳定性学术会议

作者：易壮鹏 Youyi ZENG Guangya TU Changsha University of Science & Technology School of Civil Engineering & Architecture

The nonlinear dynamics and bifurcations of the shallow arches with one end elastically constrained in vertical direction subjected to primary resonance are investigated,and the 3:1internal resonances are *** using the basic assumption for shallow arch the governing nonlinear dimensionless integral-partial-differential equation of motion are determined,and the full-basis Galerkin method is employed for *** the multi-scale method is applied to obtain modulation equations whose coefficients have a one-to-one relationship with the stiffness of elastic supports in boundary *** activation of internal resonance is decided by the governing effective non-linear interaction coefficients in the normal forms equaling to zero or *** is found that the elastic constraint play an important role in the orthogonality/activation of two internally resonant modes in case of 3:1 internal *** force/frequency-response curves are computed via the Newton-Raphson method and the pseudo-arclength path following algorithm to analysis the nonlinear responses and their stability,where saddle-node bifurcation and Hopf bifurcation are *** the dynamic solutions including periodic solution,quasi-periodic solution and chaotic solution are discussed,and numerical simulations show the evolution procedure of entering chaos through period-doubling bifurcation.

关键词： Shallow arches elastically constrained 3:1 internal resonance Multi-scale method Bifurcation Chaos

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On two-parameter bifurcation analysis of switched system composed of Duffing and van der Pol oscillators

On two-parameter bifurcation analysis of switched system com...

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第十五届全国非线性振动暨第十二届全国非线性动力学和运动稳定性学术会议

作者：张春 BI Qin-sheng HAN Xiu-jing ZHANG Zheng-di School of Mathematical Science Huaiyin Normal University Faculty of Science Jiangsu University

The behaviors of system which alternate between Duffing oscillator and van der Pol oscillator are investigated to explore the influence of the switches on dynamical evolutions of *** related to the state and time are introduced,upon which a typical switched model is *** map of the whole switched system is defined by suitable local sections and local maps,and the formal expression of its Jacobian matrix is *** location of the fixed point and associated Floquet multipliers are calculated,based on which two-parameter bifurcation sets of the switched system are obtained,dividing the parameter space into several regions corresponding to different types of *** is found that cascading of period-doubling bifurcations may lead the system to chaos,while fold bifurcations determine the transition between period-3 solution and chaotic movement.

关键词： Switched dynamical system Poincare mapping Period-doubling bifurcation Fold bifurcation

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Nonlinear network modeling and dynamic characteristics of multi-module floating airports with flexible connectors

Nonlinear network modeling and dynamic characteristics of mu...

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第十五届全国非线性振动暨第十二届全国非线性动力学和运动稳定性学术会议

作者：徐道临 ZHANG Hai-cheng XIA Shu-yan LU Chao QI En-rong HU Jia-jun WU You-sheng College of Mechanical and Vehicle Engineering Hunan University China Ship Scientific Research Center

Very large floating structures(VLFS),consisting of multiple modules coupled with flexible connectors,play a key role in exploring ocean space and resources because of various *** VLFS in wave can be viewed as a non-autonomous network and the network theory can be applied for dynamics analysis.A standard modeling process for various types of connectors and topological structures is introduced,and a network model for a chain-type floating airport is established with geometric *** synergetic effect of network dynamics,amplitude death,and corresponding internal loads of connectors are *** methodology used in this report can be extendable to various engineering structures with network alike.

关键词： VLFS network dynamic nonlinear dynamics flexible connectors amplitude death

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