A tristable locally-active memristor and its complex dynamics
| Autor: | Yan Liang, Guangyi Wang, Yujiao Dong, Jiajie Ying, Junlan Wang, Meiyuan Gu |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
Hopf bifurcation
Physics Admittance Oscillation General Mathematics Applied Mathematics General Physics and Astronomy Statistical and Nonlinear Physics Memristor Topology Inductor 01 natural sciences 010305 fluids & plasmas law.invention Computer Science::Hardware Architecture symbols.namesake Computer Science::Emerging Technologies law Parasitic oscillation 0103 physical sciences symbols Equivalent circuit Resistor 010301 acoustics |
| Zdroj: | Chaos, Solitons & Fractals. 148:111038 |
| ISSN: | 0960-0779 |
| Popis: | It has been well recognized that local activity is the origin of complex dynamics. Many important commercial applications would benefit from the locally-active memristors. To explore the locally active characteristics of memristors, a new tristable voltage-controlled locally-active memristor model is proposed based on Chua's unfolding theorem, which has three asymptotically equilibrium points and three locally-active regions. Non-volatility and the local activity of the memristor are demonstrated by POP (Power-Off Plot) and DC V-I plot. A small-signal equivalent circuit is established on a locally active operating point of the memristor to describe the characteristic of the memristor at the locally active region. Based on the admittance function Y ( i ω , V ) of the small-signal equivalent circuit, the parasitic capacitor and the oscillation frequency of the are determined. The parasitic oscillation circuit consisting of the memristor, a parasitic resistor and a parasitic capacitor is analyzed in detail by Hopf bifurcation theory and the pole diagram of the composite admittance function YP (s, Q) of the parasitic oscillation circuit. Furthermore, by adding an inductor to the periodic parasitic circuit, we derive a simple chaotic circuit whose basic properties and coexisting dynamics are analyzed in detail. We concluded that the locally-active memristor provides the energy for the circuit to excite and maintain the periodic and chaotic oscillations. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
Full Text from ScienceDirect