周期激励下分段线性电路的动力学行为

基于四阶自治分段线性电路的分岔特性，探讨了两种幅值周期激励下该电路系统的复杂动力学行为. 给出了弱周期激励下系统共存的两种分岔模式及其产生的原因，讨论了不同分岔模式下动力学行为的演化过程及混沌吸引子相互作用机理. 而随着激励幅值的增大，即强激励作用下，围绕两个原自治系统平衡点的周期轨道不再分裂，从而导致共存的分岔模式消失.指出无论在弱激励还是在强激励下，由于系统的固有频率与外激励频率存在量级上的差距，其相应的各种运动模式，诸如周期运动、概周期运动甚至混沌运动均表现出明显的快慢效应，进而从分岔的角度分析了不同快慢效应的产生机制. 

THE DYNAMICAL BEHAVIOR OF A PIECEWISE-LINEAR ELECTRIC CIRCUIT WITH PERIODICAL EXCITATION

Since the chaotic phenomenon in Chua's circuit was reported,the complicated dynamics in nonlinear circuits has been one of the key topics to attract a lot of researchers.Based on Chua's circuits,many modified models have been established,which exhibit rich nonlinear behaviors,such as intermittency and chaos crisis.Because of the piecewise-linear function between the current and the voltage introduced,non-smooth bifurcation may occur at the singular positions.Up to now,most of the obtained results focus on t...