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.

Computation of supertrack functions for Chua's oscillator and for Chua's circuit with memristor

Caldarola F.;Pantano P.;Bilotta E.
2021-01-01

Abstract

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.
2021
Attractors
Bifurcation map
Chaotic systems
Chua's oscillator
Memristor
Numerical simulation
Road to chaos
Supertrack functions
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11770/311781
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