一个电路模型的动力学突变行为

Sudden Change of Dynamics Behavior in Circuit Model

研究一个带耗散性元件的过电压保护电路模型,它由一个保守映象和一个耗散映象耦合而成的分段光滑映象描述。数值研究表明,在一定的参数组合下,系统由规则的周期运动向混沌运动突变,突变后的系统动力学行为由一个具有分数维的混沌类吸引子主宰。

The thesis reports a relaxation and oscillation circuit with over--voltage protection and a dissipative unit, which is described by a piecewise--continuous concatenation of a dissipative map and a conservative map. With a certain group of parameters the system transits suddenly from periodic motion to chaotic motion, then dynamics behavior of the system is dominated by a chaotic quasi--attractor which owns fractal dimention.