Diferentes familias de atractores extraños en un sistema caótico memristivo de 4D

Authors

DOI:

https://doi.org/10.29105/ingenierias23.86-3

Keywords:

Hidden attractors, coexisting attractors, analog design, memristive system

Abstract

Considered as the fourth passive element in circuit theory, a memristor can be used to design chaotic systems, even can increase the complexity of the system. In this article, we present the generation of self-excited, coexisting and hidden attractors. The different families of attractors are generated by adding the nonlinear function of a flow-controlled memristor to a chaotic system. The richness of the chaotic dynamics in the system is investigated through bifurcation diagrams, Lyapunov exponents, phase planes and Kaplan-Yorke dimension. These methods shown that in a range of parameters, the chaotic system has coexisting chaotic attractors. Finally, the proposed chaotic system is designed with analog electronic circuits. The results obtained from the simulation of the electronic circuit are in accordance with the results of the theoretical and numerical analyzes.

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References

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Published

2020-01-22

How to Cite

Zambrano-Serrano, E., Posadas-Castillo, C., & Rivera-Durón, R. R. (2020). Diferentes familias de atractores extraños en un sistema caótico memristivo de 4D. Revista Ingenierías, 23(86), 12–24. https://doi.org/10.29105/ingenierias23.86-3