气体放电系统中时空斑图的时滞反馈控制

摘要

采用时滞反馈的方法实现了对气体放电半唯象模型中时空斑图的控制．在Turing—Hopf切空间附近分析了时滞反馈对Turing模与Hopf模的影响，确定了反馈参数与系统振荡频率及临界波长的关系．结果表明，在保持外加电压不变的情况下，时滞反馈可有效控制斑图的转换．增加反馈强度或延迟时间等效于增加外加电压．进一步利用二维数值模拟进行了验证．研究结果对气体放电系统中实现斑图的控制提供了一种新思路．%Control of the spatiotemporal pattern with time delayed feedback in a gas discharge system is studied both analytically and numerically. The time delay in the semiphenomenological model is reduced as a perturbation. Based on the linear stability analysis, the effects of the time delay on the Turing and the Hopf modes near the Turing-Hopf codimension-two phase space are investigated. Then, the relations between the parameters of feedback and the oscillatory frequency, and the critical wavelength of the system are obtained. Results show that the transition between patterns can be controlled effectively by applying appropriate feedback even when the applied voltage keeps constant. The consequence of increasing the feedback intensity or the delayed time is equivalent to increasing the applied voltage. Furthermore, the analytical results are verified by two-dimensional numerical simulation. Our work proposes a way to control the pattern formation in a gas discharge system.