摘要
电磁辐射对各种非线性系统振荡电路有着重要的影响,但是目前还无法精确给出磁场对振荡电路的影响关系式.根据电学基本定律,通过引入磁控忆阻器建立了电磁辐射下PR振荡电路模型,基于理论分析与数值模拟相结合的方法,研究了新模型的平衡点分布与分岔动力学行为,结果表明,所建立的电路模型存在多值平衡区域,有着丰富的Hopf分岔行为,通过计算第一Lyapunov系数判别相应的分岔类型.同时基于Washout滤波器研究了Hopf分岔类型的控制,并与数值模拟相结合验证了上述的理论分析结果,从而揭示电磁辐射下PR振荡电路有着丰富的动力学行为.
Electromagnetic radiation has a significant impact on oscillation circuits in various nonlinear systems,currently it is not possible to accurately determine the effect of magnetic field on oscillation circuits.According to the basic law of electricity,a PR oscillation circuit model under electromagnetic radiation was established by introducing the magnetron resistor.Based on the combination of theoretical analysis and numerical simulation,the equilibrium distribution and bifurcation dynamic behavior of the new dynamics model are studied.The results show that the circuit model has multi-valued equilibrium region and rich Hopf bifurcation behavior.The first Lyapunov coefficient is calculated to distinguish the corresponding bifurcation type.At the same time,the control of Hopf bifurcation type is studied based on Washout filter,and the above theoretical analysis is verified by numerical simulation,which reveals the abundant dynamic behavior of PR oscillation circuit under electromagnetic radiation.
作者
张莉
ZHANG Li(The Basic Courses Department,Lanzhou Institute of Technology,Gansu Lanzhou 730050,China)
出处
《河北师范大学学报（自然科学版）》
CAS
2024年第2期119-128,共10页
Journal of Hebei Normal University：Natural Science
基金
兰州工业学院青年科技创新项目(2021KJ-08)。
