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, Poincar\'e 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 for the first time to our knowledge and that too in a single second order electronic circuit.
翻译:我们确定了三大重要路线,即希吉-哈梅勒、分解和间歇路线,及其在使用负导线序列LCR电路、数字和实验二极管建造的半定期强制电子系统中产生奇特非色色吸引器的机制,这三条线路的SNA的诞生,由最大Lyapunov引言者从实验数据及其相应的数字数据中进行核实,其差异包括Poincar\'e地图、Fourier 振幅频谱、光谱分布功能和有限时间的LyapunovExpents,尽管在不同动态系统中从数字上确定了这三条路线,但所有这些机制的实验观测都是首次报告给我们了解的,也是在第二顺序电子线路中。