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Computation of supertrack functions for Chua’s oscillator and for Chua’s circuit with memristor
Communications in Nonlinear Science and Numerical Simulation ( IF 3.4 ) Pub Date : 2020-10-10 , DOI: 10.1016/j.cnsns.2020.105568
Fabio Caldarola , Pietro Pantano , Eleonora Bilotta

In this paper we use the method of supertracks to study two attractors: the first, called PC8, is generated by Chua’s oscillator and the second is produced by Chua’s circuit equipped with a memristor. In both cases we study in particular the bifurcation maps obtained by varying the control parameters of the circuit one each time and, after applying a discretizing model expressly designed for the purpose, we employ Runge-Kutta methods to get numerical integrations that allow us to describe the supertrack functions relative to each variation of the mentioned parameters. Finally, we interpret the behavior of the considered systems through such supertracks functions and compare the predictions arising from their analysis with the bifurcation maps, case by case.



中文翻译:

蔡氏振荡器和带忆阻器的蔡氏电路的超轨函数计算

在本文中,我们使用超级轨道的方法来研究两个吸引子:第一个被称为PC8的吸引子是由Chua的振荡器产生的,第二个是由Chua的装有忆阻器的电路产生的。在这两种情况下,我们都特别研究通过每次改变电路的控制参数而获得的分叉图,并且在应用为此目的明确设计的离散化模型后,我们采用Runge-Kutta方法获得数值积分,从而可以描述相对于所提及参数的每个变化的超轨功能。最后,我们通过这种超级轨道功能解释了所考虑系统的行为,并逐例将其分析产生的预测与分叉图进行了比较。

更新日期:2020-11-04
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