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【期刊论文】Reducing lateral vibration of a rotor passing through critical speeds by phase modulating
陆启韶
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-1年11月30日
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【期刊论文】Integer multiple spiking in the stochastic Chay model and its dynamical generation mechanism
陆启韶, Zhuoqin Yang a, Qishao Lu a, *, Huaguang Gu b, Wei Ren b
Physics Letters A 299(2002)499-506,-0001,():
-1年11月30日
Integer multiple spiking induced by Gaussian white noise in the stochastic Chay system may occur near a subcritical Hopf bifurcation of the corresponding deterministic system without external periodic forcing. The deterministic Chay system near the subcritical Hopf bifurcation can exhibit a damped subthreshold oscillation of membrane potential, and can easily fire a spike in response to some kinds of weak pulses. Therefore, on account of the characteristic of Gaussian white noise, it can be shown that the deterministic Chay system supplied with certain weak pulses can fire integer multiple spiking similar to that in the corresponding stochastic system. Furthermore, on the light of the characteristic of the unstable limit cycle "before" a subcritical Hopf bifurcation in the deterministic Chay model, it can be explained that integer multiple spiking only appears in a certain range of the parameter VK.
Integer multiple spiking, Interspike intervals, Subcritical Andronov-Hopf bifurcation, Pulse
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【期刊论文】Blow-up estimates for a quasi-linear reaction-diffusion system
陆启韶, Yang Zuodong* and Lu Qishao, Communicated by G. F. Roach
Math. Meth. Appl. Sci. 2003; 26:1005-1023,-0001,():
-1年11月30日
In this paper, some suffcient conditions under which the quasilinear elliptic system −div(|∇u|p−2∇u)=um1vn1;−div(|∇u|q−2∇u) =um2vn2 in RN (N¿3) has no radially symmetric positive solution is derived. Then by using this non-existence result, blow-up estimates for a class of quasilinear reaction-diffusion systems ut=div(|∇u|p−2∇u)+um1vn1; vt=div(|∇v|q−2∇v)+um2vn2 with the homogeneous Dirichlet boundary value conditions are obtained. Copyright ? 2003 John Wiley & Sons, Ltd.
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陆启韶, Zuodong Yang, Qishao Lu*
,-0001,():
-1年11月30日
The prior estimate and decaypropertyof positive solutions are derived for a system of quasilinear elliptic diserential equations 3rst. Then, the nonexistence result for radiallynonincreasing positive solutions of the sys11 tem is implied. Byusing this nonexistence result, blow-up estimates for a class of quasilinear reaction-diffusion systems (non-Newtonian 3ltration systems) are established to extend the result for semilinear reaction-disusion 13 systems (Fujita type).
Blow-up, Quasilinear reaction-diffusion system, Positive radial solutions, Existence and nonexistence
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