Double memristors oscillator with hidden stacked attractors and its multi-transient and multistability analysis

Chuanhong Du, Licai Liu, Zhengping Zhang and Shixing Yu

Chaos, Solitons & Fractals, 2021, vol. 148, issue C

Abstract: In this paper, by replacing the two linear resistors in the RLC oscillator with flux-controlled and charge-controlled memristors, a novel double memristors nonlinear circuit system is proposed. From the oscillator circuit, we established the mathematical model of the system and proved that it is a hidden system without equilibrium. The numerical simulation results of the mathematical model are consistent with the circuit. What is more, we also find that one state variable of the system has the typical slow change behavior, which is reflected in the form of step-like or square-like waves, thus forming a novel stacked attractor. Then, through studying the Poincaré map, phase diagram, bifurcation diagram, Lyapunov exponents (LEs), it was proved that the system has multi-transient behaviors such as chaos to another chaos, chaos to period, chaos to quasi-period, quasi-period to period. Besides, the memristive oscillator has quasi-periodic multistability when changing the initial values, which is a rare phenomenon for a chaotic system. These findings indicate that the proposed memristive hidden oscillator has complex nonlinear dynamic characteristics. Finally, the Digital Signal Processing (DSP) hardware platform confirms the physical realizability of the oscillator, offering the possibility of engineering applications.

Keywords: Stacked attractor; Double memristors; Chaos; Multi-transient phenomenon; Quasi-periodic multistability (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:148:y:2021:i:c:s0960077921003775

DOI: 10.1016/j.chaos.2021.111023

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