Next Article in Journal
Wide Voltage Resonant Converter Using a Variable Winding Turns Ratio
Previous Article in Journal
Hardware-Simulator Development and Implementation for Hydraulic Turbine Generation Systems in a District Heating System
Open AccessFeature PaperReview

Nonlinear Dynamics, Switching Kinetics and Physical Realization of the Family of Chua Corsage Memristors

1
Division of Electronics and Information Engineering and Intelligent Robot Research Center, Jeonbuk National University, Jeonju, Jeonbuk 567-54896, Korea
2
Division of Electronics Engineering and Intelligent Robot Research Center, Jeonbuk National University, Jeonju, Jeonbuk 567-54896, Korea
*
Author to whom correspondence should be addressed.
Electronics 2020, 9(2), 369; https://doi.org/10.3390/electronics9020369
Received: 31 January 2020 / Revised: 18 February 2020 / Accepted: 19 February 2020 / Published: 21 February 2020
(This article belongs to the Section Artificial Intelligence)
This article reviews the nonlinear dynamical attributes, switching kinetics, bifurcation analysis, and physical realization of a family of generic memristors, namely, Chua corsage memristors (CCM). CCM family contains three 1-st order generic memristor dubbed as 2-lobe, 4-lobe, and 6-lobe Chua corsage memristors and can be distinguished in accordance with their asymptotic stable states. The 2-lobe CCM has two asymptotically stable equilibrium states and regarded as a binary memory device. In contrast, the versatile 4-lobe CCM and 6-lobe CCM are regarded as a multi-bit-per-cell memory device as they exhibit three and four asymptotic stable states, respectively, on their complex and diversified dynamic routes. Due to the diversified dynamic routes, the CC memristors exhibit a highly nonlinear DC V-I curve. Unlike most published highly-nonlinear DC V-I curves with several disconnected branches, the DC V-I curves of CCMs are contiguous along with a locally active negative slope region. Moreover, the DC V-I curves and parametric representations of the CCMs are explicitly analytical. Switching kinetics of the CCM family can be demonstrated with universal formulas of exponential state trajectories xn(t), time period tfn, and applied minimum pulse amplitude VA and width Δw. These formulas are regarded universal as they can be applied to any piecewise linear dynamic routes for any DC or pulse input and with any number of segments. When local activity, and bifurcation and chaos theorems are employed, CMMs exhibit unique stable limit cycles spawn from a supercritical Hopf bifurcation along with static attractors. In addition, the nonlinear circuit and system theoretic approach is applied to explain the asymptotic stability behavior of CCMs and to design real memristor emulators using off-the-shelf circuit components. View Full-Text
Keywords: Asymptotical stability; generic memristor; Hopf bifurcation; local activity; memristive system; memory device; nonlinear dynamics; parametric representation; switching kinetics Asymptotical stability; generic memristor; Hopf bifurcation; local activity; memristive system; memory device; nonlinear dynamics; parametric representation; switching kinetics
Show Figures

Figure 1

MDPI and ACS Style

Mannan, Z.I.; Kim, H. Nonlinear Dynamics, Switching Kinetics and Physical Realization of the Family of Chua Corsage Memristors. Electronics 2020, 9, 369.

Show more citation formats Show less citations formats
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Back to TopTop