Route to chaos in a circuit modeled by a 1-dimensional piecewise linear map
Route to chaos in a circuit modeled by a 1-dimensional piecewise linear map
复制标题
由一维分段线性映射建模的电路中的混沌路径
DOI：
10.1587/nolta.3.521
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发表时间：
2012
期刊：
影响因子：
--
通讯作者：
P. Chargé
中科院分区：
文献类型：
--
作者：
D. Fournier;P. Chargé
研究了一种简单的混合电路作为混沌发生器。它使用定义在[0，1]上的3斜率分段线性映射建模，并取决于三个参数。参数空间进行了研究，以分类区域的稳定周期轨道和区域的存在与混沌行为。通过数值计算和解析方法得到了分叉曲线。在周期性混沌区域中发现了边界碰撞分岔和同宿分岔，并由此导致了单片系统的混沌。
: A very simple hybrid circuit proposed as chaos generator is studied. It is modeled using a 3-slopes piecewise linear map defined on [0,1] and depending upon three parameters. The parameter space is investigated in order to classify regions of existence of stable periodic orbits and regions associated with chaotic behaviors. Bifurcation curves are obtained numer-ically and analytically. Border collision bifurcations and homoclinic bifurcations occurring in cyclical chaotic regions leading to chaos in one-piece are detected.