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| 1 | Dynamics of firing patterns,synchronization and resonances in neuronal electrical activities:experiments and analysis显示文摘在 neuronal 的动力学的试验性、理论的学习的最近的进展电的开火活动被考察。第一, neuronal 的一些试验性的现象不规则的开火模式,特别混乱、随机的开火的模式,被介绍,并且实际非线性的时间分析方法被介绍及时区分确定、随机的机制系列。第二,也就是,在一个单个神经原的电的开火的活动的动力学被担心为为发射模式的转变的各种各样的爆炸模式,一个参数或二参数的分叉分析的分类和机制的快慢动力学分析,和发射活动的随机的动力学(随机并且连贯回声,多重的整数和另外的开火的模式由噪音导致了,等等)。第三,有电、化学的触处的联合神经原的同步的不同类型被讨论。因为噪音和时间延期在神经系统是不可避免的,它被发现延期可以导致或提高发射联合神经原的模式的同步和变化的那噪音和时间。在联合 neuronal 网络的导致噪音的回声和空间与时间的模式也被表明。最后,一些前景为未来研究被介绍。在后果,非线性的动力学的想法和方法具有在动态进程的探索和神经系统的生理的函数的大意义。 | Qishao Lu Huaguang Gu Zhuoqin Yang Xia Shi Lixia Duan Yanhong Zheng | 2008 | Acta Mechanica Sinica2008，24，6： | 14 |
| 2 | Different types of bursting in Chay neuronal model显示文摘Based on actual neuronal firing activities, bursting in the Chay neuronal model is considered, in which VK, reversal potentials for K+, VC, reversal potentials for Ca2+, time kinetic constant λn and an additional depolarized current I are considered as dynamical parameters. According to the number of the Hopf bifurcation points on the upper branch of the bifurcation curve of fast subsystem, which is associated with the stable limit cycle corresponding to spiking states, different types of bursting and their respective dynamical behavior are surveyed by means of fast-slow dynamical bifurcation analysis. | YANG ZhuoQin LU QiShao | 2008 | Science China(Physics,Mechanics & Astronomy)2008，51，6： | 7 |
| 3 | NONSTATIONARY EFFECTS ON SAFE BASINS OF A FORCED SOFTENING DUFFING OSCILLATOR显示文摘The safe basin of a forced softening Duffing oscillator is studied numerically.Thechanges of safe basins are observed under both stationary and nonstationary variations of the externalexcitation frequency.The kind of nonstationary variations of the excitation frequency can greatlychange the erosion rate and the shape of the safe basin.The other effects of nonstationary variationson the safe basin are also discussed. | Gan Chunbiao Lu Qishao Huang Kelei | 1998 | Acta Mechanica Solida Sinica1998，11，3： | 5 |
| 4 | Non-existence of positive radial solutions for a class of quasilinear elliptic system显示文摘In this paper, our main purpose is to establish some nonexistence results of positive radial solutions to the quasilinear ordinary differential equation system. The main results of the present paper are new and extend the previously known results. | Zuodong YANG and Qishao LU (College of Science, Beijing University of Aeronautics and Astronautics, Beijing 100083, China) (Received October 8, 2000) | 2000 | Communications in Nonlinear Science and Numerical Simulation2000，5，4： | 3 |
| 5 | Dynamical analysis of bursting oscillations in the Chay-Keizer model with three time scales显示文摘Based on the Chay-Keizer model with three time scales, we investigate the role of the slowest variable in generating bursting oscillations in pancreaticcells. It is shown that both of the two slow processes can interact to drive fast, medium and slow bursting oscillations typically observed in pancreaticcells. Moreover, diverse patterns of electrical bursting are presented, including the 'fold/fold' bursting, 'fold/homoclinic' bursting, 'fold/Hopf' bursting via 'fold/fold' hysteresis loop, and the 'fold/fold' bursting via point-point hysteresis loop. Fast-slow dynamics is used to analyze the types and generation mechanisms of these bursting oscillations. The results can be instructive for understanding the role of the slow variables and the current conductance in pancreaticcells activities. | MENG Pan LU QiShao WANG QingYun | 2011 | Science China(Technological Sciences)2011，54，8： | 2 |
| 6 | STABILITY FOR THE MIX-DELAYED COHEN-GROSSBERG NEURAL NETWORKS WITH NONLINEAR IMPULSE显示文摘In this paper,the authors are concerned with the stability of the mix-delayed Cohen-Grossbergneural networks with nonlinear impulse by the nonsmooth analysis.Some novel sufficientconditions are obtained for the existence and the globally asymptotic stability of the unique equilibriumpoint,which include the well-known results on some impulsive systems and non-impulsive systems asits particular cases.The authores also analyze the globally exponential stability of the equilibriumpoint.Two examples are exploited to illustrate the feasibility and effectiveness of our results. | Yong ZHAO Qishao LU Zhaosheng FENG | 2010 | Journal of Systems Science & Complexity2010，23，3： | 2 |
| 7 | Noise-induced bistable switching dynamics through a potential energy landscape显示文摘Interlinked positive feedback loops,an important building block of biochemical systems,can induce bistable switching,leading to long-lasting state changes by brief stimuli.In this work,prevalent mutual activation between two species as another positive feedback is added to a generic interlinked positive-feedback-loop model originating from many realistic biological circuits.A stochastic fluctuation of the positive feedback strength is introduced in a bistable interval of the feedback strength,and bistability appears for the moderate feedback strength at a certain noise level.Stability analysis based on the potential energy landscape is further utilized to explore the noise-induced switching behavior of two stable steady states. | Yuanhong Bi Zhuoqin Yang Xiangying Meng Qishao Lu | 2015 | Acta Mechanica Sinica2015，31，2： | 2 |
| 8 | Flocking shape analysis of multi-agent systems显示文摘In this paper,we consider the shape control in flocking behavior of a multi-agent system with a virtual leader.Besides the traditional flocking control terms,which include a gradient-based term,a velocity consensus term and a navigational feed-back in general,a new piecewise smooth neighbor-based local controller is added to regulate the configuration to the desired flocking shape.All agent velocities approach the desired velocity asymptotically,while collisions among agents can be avoided.Furthermore,based on the proved stability,we obtain three kinds of flocking shapes,such as those in a single line,vee shape or corner shape.Some numerical simulation results are provided to demonstrate theoretical issues. | YANG JiChen,LU QiShao &LANG XiuFeng Department of Dynamics and Control,Beihang University,Beijing 100191,China | 2010 | Science China(Technological Sciences)2010，53，3： | 2 |
| 9 | Single rub-impacting periodic motions of a rigid constrained rotor system显示文摘This paper discusses the existence of single rub-impacting period-n motions for a kind of rotor systems with rigid constraints. The ranges of parameters for period-2 motions are also given. An example of this method is given. | Qunhong LI and Qishao LU (School of Science, Beijing University of Aeronautics and Astronautics, Beijing 100082, China) (Received September 25, 2000) | 2000 | Communications in Nonlinear Science and Numerical Simulation2000，5，4： | 2 |
| 10 | Existence of entire explosive positive solutions of quasilinear elliptic equations 显示文摘 | Lu Qishao Yang Zuodong E H Twizell | 2004 | Appl Math Comput2004，148，： | 1 |
| 11 | Spatio-temporal patterns in a square-lattice Hodgkin-Huxley neural metwork 显示文摘 | Wang Qingyun Lu Qishao Chen Guanrong | 2006 | European Physics Journal B2006，54，2： | 1 |
| 12 | Orbit control strategy for Lagrange point orbits based on an analytical method显示文摘The periodic or quasi-periodic orbits around collinear Lagrange points present many properties that are advantageous for space missions. These Lagrange point orbits are exponentially unstable. On the basis of an analytical method, an orbit control strategy that is designed to eliminate the dominant unstable components of Lagrange point orbits is developed. The proposed strategy enables the derivation of the analytical expression of nonlinear control force. The control parameter of this strategy can be arbitrarily selected provided that the parameter is considerably lower than the negative eigenvalue of motion equations, and that the energy required keeps the same order of magnitude. The periodic or quasi-periodic orbit of controlled equations remains near the periodic or quasi-periodic orbit of uncontrolled equations. | Lü Jing LU QiShao WANG Qi | 2013 | Science China(Physics,Mechanics & Astronomy)2013，56，4： | 1 |
| 13 | DELAY DIFFERENTIAL EQUATIONS UNDER NONLINEAR IMPULSIVE CONTROL AND APPLICATIONS TO NEURAL NETWORK MODELS显示文摘在这份报纸,延期的一个班有非线性的冲动的控制的微分方程被讨论。基于 nonsmooth 分析,稳定性的标准为有非线性的推动的微分方程在某些条件下面控制的延期被获得。这些标准能被用于一些神经网络模型。在纸的结束,二个例子被提供说明建议结果的可行性和有效性。 | Yong ZHAO Qishao LU Zhaosheng FENG Yonghui XIA | 2012 | Journal of Systems Science & Complexity2012，25，4： | 1 |
| 14 | Integer multiple spiking in the experimental neuronal pacemaker without external periodic stimulation 显示文摘 | Gu HG -Ren W Lu Qishao | 2001 | Physic Letters A2001，285，1： | 1 |
| 15 | Complex dynamics of a holling type II prey-predator system with state feedback control显示文摘 | Guirong Jiang Qishao Lu Linning Qian | 2007 | Chaos Solitons and Fractals2007，31，： | 1 |
| 16 | Impulsive state feedback control of a prey-predator model显示文摘 | Guirong Jiang Qishao Lu | 2007 | Journal of Computational and Applied Mathematics2007，200，： | 1 |
| 17 | Impulsive ecological control of stage-structured pest management system显示文摘 | Guirong Jiang Qishao Lu Linping Peng | 2005 | Mathematical Biosciences and Engineering2005，2，： | 1 |
| 18 | Blow-up estimates for a quasilinear reaction-diffusion system显示文摘 | Lu Qishao | 2003 | Math Methods in the Appl Sci2003，26，： | 1 |
| 19 | Complex dynamics of a Holling type II prey-pre&ttor system with state feedback control显示文摘 | Jiang Guirong Lu Qishao Qian Litaaing | | 0，，： | 1 |
| 20 | Double Hopf bifurcation for van der Pol-Duffing oscillator with parametric delay feedback control 显示文摘 | MA Suqi LU Qishao FENG Zhaosheng | 2008 | Journal of Mathematical Analysis and Applications2008，338，2： | 1 |
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