A New Simple Chaotic Circuit Based on Memristor

Abstract

In this paper, a new memristor is proposed, and then an emulator built from off-the-shelf solid state components imitating the behavior of the proposed memristor is presented. Multisim simulation and breadboard experiment are done on the emulator, exhibiting a pinched hysteresis loop in the voltage–current plane when the emulator is driven by a periodic excitation voltage. In addition, a new simple chaotic circuit is designed by using the proposed memristor and other circuit elements. It is exciting that this circuit with only a linear negative resistor, a capacitor, an inductor and a memristor can generate a chaotic attractor. The dynamical behaviors of the proposed chaotic system are analyzed by Lyapunov exponents, phase portraits and bifurcation diagrams. Finally, an electronic circuit is designed to implement the chaotic system. For the sake of simple circuit topology, the proposed chaotic circuit can be easily manufactured at low cost.

A universal emulator for memristor, memcapacitor, and meminductor and its chaotic circuit

“…42 The unique memory characteristics and nanoscale structures of these three mem-elements have a wide application prospect in non-volatile memory, 4 artificial neural networks, [5][6][7][8][9][10] and chaotic circuits. [11][12][13][14][15] However, due to the cost and technical difficulties of nanoscale device manufacturing, commercially available mem-elements will be impossible in the near future. Therefore, in order to explore the follow-up application of these three mem-elements, the studies of their simulation models and emulator circuits are very necessary.…”

Analysis and FPGA Realization of a Novel 5D Hyperchaotic Four‐Wing Memristive System, Active Control Synchronization, and Secure Communication Application

“…Nonlinear science is a new interdisciplinary subject to study the universality of nonlinear phenomena, which runs through almost every subject of meteorology [1,2], mathematics [3][4][5][6], uid mechanics [7,8], complex network [9][10][11][12], electronics [13][14][15], and social science [16,17]. Chaos is one of the most important achievements of nonlinear science.…”

Various Attractors, Coexisting Attractors and Antimonotonicity in a Simple Fourth-Order Memristive Twin-T Oscillator

“…Since the physical memristor has been fabricated by Hewlett-Packard Lab in 2008 [Strukov et al, 2008], it has attracted much attention of researchers. Due to its nonvolatility, nanosize, and low power consumption, memristor can be applied in various fields, such as nonvolatile memory [Strukov, 2016], neural networks [Soudry et al, 2015;Duan et al, 2015], nonlinear chaotic circuits [Zhou et al, 2016;Wu & Wang, 2016;Yuan et al, 2016;Wang et al, 2017;Corinto & Forti, 2017;Ma et al, 2017], and so on.…”