Double memristors oscillator with hidden stacked attractors and its multi-transient and multistability analysis
| Autor: | Chuanhong Du, Shixing Yu, Licai Liu, Zhengping Zhang |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
Physics
State variable General Mathematics Applied Mathematics General Physics and Astronomy Statistical and Nonlinear Physics Lyapunov exponent Bifurcation diagram Topology 01 natural sciences 010305 fluids & plasmas symbols.namesake Nonlinear system Computer Science::Emerging Technologies 0103 physical sciences Attractor symbols RLC circuit 010301 acoustics Multistability Poincaré map |
| Zdroj: | Chaos, Solitons & Fractals. 148:111023 |
| ISSN: | 0960-0779 |
| DOI: | 10.1016/j.chaos.2021.111023 |
| Popis: | 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 Poincare 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. |
| Databáze: | OpenAIRE |
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