摘要
切分岔是非线性动力系统中的一种特殊分岔,本文研究了因切分岔而引发的变换器电路的阵发混沌现象。首先建立了符合实际电路限定条件下的离散迭代映射模型,然后通过数值仿真手段构造了阵发混沌中主要的周期3、周期4、周期5及平行周期3等周期窗的切分岔离散迭代映射,从而阐述了开关DC-DC变换器电路发生阵发混沌的机理和各周期窗形成的原因。
Tangent bifurcation is a special bifurcation in nonlinear dynamical systems. The intermittent chaos phenomenon caused by tangent bifurcation is studied. The discrete iterative map model with limited condition of practical circuit is established, and then the discrete iterative maps of tangent bifurcation for major period-windows including period-3, period-4, period-5, parallel period-3, and so on, in intermittent chaos have been constructed by numerical simulation. The mechanism of intermittent chaos and the formation reason of various period-windows in switched DC-DC converter circuit have been illustrated.
出处
《电测与仪表》
北大核心
2009年第11期5-8,76,共5页
Electrical Measurement & Instrumentation
基金
江苏省高校自然科学研究计划资助项目(02KJD510016)
关键词
BOOST变换器
切分岔
阵发混沌
周期窗
离散迭代映射
boost converter
tangent bifurcation
intermittent chaos
periodic window
discrete iterative map
