Rich Variety of bifurcations and Chaos in a Variant of Murali-Lakshmanan-Chua Circuit

Rich Variety of bifurcations and Chaos in a Variant of Murali-Lakshmanan-Chua Circuit
复制标题

DOI：
10.1142/s0218127400001109
复制
发表时间：
2000-07
期刊：
Int. J. Bifurc. Chaos
影响因子：
--
通讯作者：
K. Thamilmaran;M. Lakshmanan;K. Murali
K. Thamilmaran;M. Lakshmanan;K. Murali
中科院分区：
其他
文献类型：
--
作者：
K. Thamilmaran;M. Lakshmanan;K. Murali

文献摘要

被引文献

相似文献

在Murali，Lakshmanan和Chua(MLC)提出的最简单的非线性非自治电路(MLC)的基础上，提出了一种以蔡氏二极管为唯一非线性元件的非常简单的非线性并行非自治LCR电路，它具有丰富的动力学特性。通过在(F-ω)平面上构造对应于强迫幅度(F)和频率(ω)的双参数相图，我们识别出除了常见的倍周期混沌场景外，还存在间歇性和准周期的混沌路径以及加周期序列和Farey序列等。混沌动力学得到了包括PSPICE在内的实验和计算机仿真研究的验证。
A very simple nonlinear parallel nonautonomous LCR circuit with Chua's diode as its only nonlinear element, exhibiting a rich variety of dynamical features, is proposed as a variant of the simplest nonlinear nonautonomous circuit introduced by Murali, Lakshmanan and Chua (MLC). By constructing a two-parameter phase diagram in the (F - ω) plane, corresponding to the forcing amplitude (F) and frequency (ω), we identify, besides the familiar period-doubling scenario to chaos, intermittent and quasiperiodic routes to chaos as well as period-adding sequences, Farey sequences, and so on. The chaotic dynamics is verified by both experimental as well as computer simulation studies including PSPICE.