Memcapacitor model and its application in a chaotic oscillator

Abstract

A memcapacitor is a new type of memory capacitor. Before the advent of practical memcapacitor, the prospective studies on its models and potential applications are of importance. For this purpose, we establish a mathematical memcapacitor model and a corresponding circuit model. As a potential application, based on the model, a memcapacitor oscillator is designed, with its basic dynamic characteristics analyzed theoretically and experimentally. Some circuit variables such as charge, flux, and integral of charge, which are difficult to measure, are observed and measured via simulations and experiments. Analysis results show that besides the typical period-doubling bifurcations and period-3 windows, sustained chaos with constant Lyapunov exponents occurs. Moreover, this oscillator also exhibits abrupt chaos and some novel bifurcations. In addition, based on the digital signal processing (DSP) technology, a scheme of digitally realizing this memcapacitor oscillator is provided. Then the statistical properties of the chaotic sequences generated from the oscillator are tested by using the test suit of the National Institute of Standards and Technology (NIST). The tested randomness definitely reaches the standards of NIST, and is better than that of the well-known Lorenz system.

Coexisting Oscillation and Extreme Multistability for a Memcapacitor‐Based Circuit

“…So several memcapacitor models, including piecewise linear, quadric and cubic function models, memristor-based memcapacitor models, and memcapacitor emulators, were proposed in [16][17][18][19][20][21], and a mathematical memcapacitor model and a corresponding circuit model are established in [22]. Some special phenomena such as hidden attractors, coexistence attractors, and extreme multistability were found in memcapacitorbased chaotic oscillators [23,24] and memristor-based chaotic oscillators [25][26][27]. In fact, multistability and coexisting attractors have caught the attention of researcher in general chaotic systems [28][29][30].…”

A novel memcapacitor and its application in a chaotic circuit

“…The behaviors of different memcapacitor models [19][20][21][22][23][24][25] are explored through previous researches on memcapacitor. Ref.…”

A Meminductor-based Chaotic System

“…In 2009, the memcapacitor and the meminductor, which extended the memristor, were proposed by Di Ventra et al [8]. Memristor, meminductor, and memcapacitor are nonlinear circuit elements and can be used to generate chaotic signals [3,21,27,11,15,22,31,26,28]. Recently, researchers are beginning to realize the potential applications of these nonlinear circuit elements in computer memories, programmable analog circuits, and neural systems.…”