Routes toward chaos in a memristor-based Shinriki circuit

被引:26
|
作者
Min, Fuhong [1 ]
Xue, Lei [1 ]
机构
[1] Nanjing Normal Univ, Sch Elect & Automation Engn, Nanjing 210023, Peoples R China
基金
中国国家自然科学基金;
关键词
PERIODIC MOTIONS; OSCILLATOR; MULTISTABILITY;
D O I
10.1063/5.0126900
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, the complex routes to chaos in a memristor-based Shinriki circuit are discussed semi-analytically via the discrete implicit mapping method. The bifurcation trees of period-m (m = 1, 2, 4 and 3, 6) motions with varying system parameters are accurately presented through discrete nodes. The corresponding critical values of bifurcation points are obtained by period-double bifurcation, saddle-node bifurcation, and Neimark bifurcation, which can be determined by the global view of eigenvalues analysis. Unstable periodic orbits are compared with the stable ones obtained by numerical methods that can reveal the process of convergence. The basins of attractors are also employed to analyze the coexistence of asymmetric stable periodic motions. Furthermore, hardware experiments are designed via Field Programmable Gate Array to verify the analysis model. As expected, an evolution of periodic motions is observed in this memristor-based Shinrik's circuit and the experimental results are consistent with that of the calculations through the discrete mapping method.
引用
收藏
页数:19
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