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一类含混合时滞非自治神经网络的指数稳定性
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作者 徐至晨 陈爱珍 周宗福 《佳木斯大学学报(自然科学版)》 CAS 2015年第1期137-139,共3页
考虑一类含有混合时滞的非自治神经网络系统,通过构造合适的Lyapunov-Krasovskii泛函及应用Razunmikhin方法,分析该系统的零解指数稳定性.在文献[4]所研究的系统中引入了新的控制函数,使得所研究的系统更为一般,所得指数稳定性结果应用... 考虑一类含有混合时滞的非自治神经网络系统,通过构造合适的Lyapunov-Krasovskii泛函及应用Razunmikhin方法,分析该系统的零解指数稳定性.在文献[4]所研究的系统中引入了新的控制函数,使得所研究的系统更为一般,所得指数稳定性结果应用范围更广. 展开更多
关键词 指数渐近稳定 Razumihkin定理 黎卡提方程
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100-GeV large scale laser plasma electron acceleration by a multi-PW laser 被引量:4
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作者 中岛一久 卢海洋 +3 位作者 赵学燕 沈百飞 李儒新 徐至晨 《Chinese Optics Letters》 SCIE EI CAS CSCD 2013年第1期87-101,共15页
We present three possible design options of laser plasma acceleration (LPA) for reaching a 100-GeV level energy by means of a multi-petawatt laser such as the 3.5-k J, 500-fs PETawatt Aquitane Laser (PETAL) at Fre... We present three possible design options of laser plasma acceleration (LPA) for reaching a 100-GeV level energy by means of a multi-petawatt laser such as the 3.5-k J, 500-fs PETawatt Aquitane Laser (PETAL) at French Alternative Energies and Atomic Energy Commission (CEA). Based on scaling of laser wakefield acceleration in the quasi-linear regime with the normalized vector potential a0 = 1.4(1.6), acceleration to 100 (130) GeV requires a 30-m-long plasma waveguide operated at the plasma density ne ≈ 7 ×10^15 c^m-3 with a channel depth An/ne = 20%, while a nonlinear laser wakefield accelerator in the bubble regime with a0 〉/ 2 can reach 100 GeV approximately in a 36/a0-m-long plasma through self-guiding. The third option is a hybrid concept that employs a ponderomotive channel created by a long leading pulse for guiding a short trailing driving laser pulse. The detail parameters for three options are evaluated, optimizing the operating plasma density at which a given energy gain is obtained over the dephasing length and the matched conditions for propagation of relativistic laser pulses in plasma channels, including the self-guiding. For the production of high-quality beams with 1%-level energy spread and a llr-mm-mrad- level transverse normalized emittance at 100-MeV energy, a simple scheme based on the ionization-induced injection mechanism may be conceived. We investigate electron beam dynamics and effects of synchrotron radiation due to betatron motion by solving the beam dynamics equations on energy and beam radius numerically. For the bubble regime case with a0 = 4, radiative energy loss becomes 10% at the maximum energy of 90 GeV. 展开更多
关键词 Electron beams Energy dissipation Laser pulses Particle beam dynamics Plasma accelerators Plasma density Plasma interactions Plasma waves
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