摘要
研究了一个具有过电压保护功能的电路模型。当控制参数c=1时,系统是一个连续保守系统,相平面由混沌海和规则椭圆岛主宰;当控制参数c<1时,系统转变为一个分段连续的半耗散系统,混沌海转变为瞬态混沌。随着控制参数c的不断减小,瞬态混沌的测度逐渐变小,迭代在瞬态混沌中的特征时间随控制参数按指数函数关系变化。
The thesis studies a circuit model with over voltage protection. When the control parameter c=1, the system is a continuous conservative system, whose phase plane is dominated by a chaotic sea and reg- ular elliptical islands. When the control parameter c 〈 1, the system transforms into a semi-dissipative sys- tem that is piecewise continuous,the chaotic sea transforms into the transient chaos. With the continuous reduction of the control parameter, the measurement of the transient measurement gradually becomes smaller, the feature time of iterating in the transient chaos changes in exponential function relationship.
出处
《常州大学学报（自然科学版）》
CAS
2015年第3期80-83,共4页
Journal of Changzhou University：Natural Science Edition
基金
江苏工业学院数理基金(ZMF09020024)
关键词
处处连续
分段连续
半耗散
瞬态混沌
特征时间
everywhere continuous
piecewise continuous
semi-dissipative
the transient chaos
thefeature time
