Experimental realization of strange nonchaotic attractors in a quasiperiodically forced electronic circuit.
Experimental realization of strange nonchaotic attractors in a quasiperiodically forced electronic circuit.
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DOI：
10.1103/physreve.74.036205
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发表时间：
2006-09
期刊：
影响因子：
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通讯作者：
K. Thamilmaran;D. Senthilkumar;A. Venkatesan;M. Lakshmanan
中科院分区：
文献类型：
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作者：
K. Thamilmaran;D. Senthilkumar;A. Venkatesan;M. Lakshmanan
我们已经通过数值和实验确定了三个突出的路线，即 Heagy-Hammel、分形和间歇路线，以及它们在使用带有二极管的负电导串联 LCR 电路构建的准周期强迫电子系统中产生奇异非混沌吸引子 (SNA) 的机制。这三种途径的 SNA 的诞生通过最大 Lyapunov 指数及其方差、Poincaré 图、傅里叶幅度谱、谱分布函数和有限时间 Lyapunov 指数从实验和相应的数值数据得到了验证。尽管这三种途径已在不同的动力系统中以数字方式确定，但所有这些机制的实验观察均在单个二阶电子电路中报告。
We have identified the three prominent routes, namely Heagy-Hammel, fractalization, and intermittency routes, and their mechanisms for the birth of strange nonchaotic attractors (SNAs) in a quasiperiodically forced electronic system constructed using a negative conductance series LCR circuit with a diode both numerically and experimentally. The birth of SNAs by these three routes is verified from both experimental and their corresponding numerical data by maximal Lyapunov exponents, and their variance, Poincaré maps, Fourier amplitude spectrum, spectral distribution function, and finite-time Lyapunov exponents. Although these three routes have been identified numerically in different dynamical systems, the experimental observation of all these mechanisms is reported here in a single second order electronic circuit.