Chaotic system dynamics analysis and synchronization circuit realization of fractional-order memristor

Dynamical Analysis and Misalignment Projection Synchronization of a Novel RLCM Fractional-Order Memristor Circuit System

“…In 2020, Ding et al proposed a fractional-order memristor circuit based on the classic Chua's circuit, analyzed its stability and dynamic characteristics and finally carried out numerical simulation, and the results were consistent with the theoretical analysis [19]. Subsequently, an increasing number of scholars focused on researching the dynamics and applications of fractional-order memristor circuit systems [20][21][22][23]. The proposal of these series of achievements not only further enriched the nonlinear circuit theory of memristors but also highlighted the complex dynamics of memristor circuits due to fractional-order sensitivity.…”

Novel memristor and memristor-based applications

“…At present, memristor-based nonlinear systems design is a hot topic. Although there are many different aspects about memristor-based nonlinear chaotic systems reported, such as a memristor-based neural system [1], multistability [8], synchronization [11], and discrete memristor [19], some of the memristor-based applications are not discussed, such as logical circuit, storage circuit, and artificial neuron system. Meanwhile, physical memristor devices [17] should receive more attention in the future since they will ultimately enable the realization of commercial applications.…”

“…Liu et al [11] studied the dynamical behaviors of a fractional-order memristor chaotic system based on Chua's circuit. They concluded that system parameters and fractional-order q could cause complex dynamical behaviors.…”

“…Additionally, the tools for memristor models should be diversified, such as fractional-order derivative, fractional-order difference, analog circuit, and digital circuits. Therefore, memristor-based studies are collected in this volume, including neural systems [1][2][3], multistability and hidden dynamics [4][5][6][7][8][9][10], synchronization controller [11,12], circuits [13][14][15][16][17][18], discrete memristor chaotic maps [19][20][21][22][23], and image encryption applications [24,25]. Some of the contributions discuss several aspects.…”

Complex Dynamic Analysis, Circuit Design and Simplified Predefined Time Synchronization for a Jerk Absolute Memristor Chaotic System

“…As a new component describing the relationship between magnetic fux and charge, memristor was frst proposed by Chua in 1971 [8]. Its rich nonlinear behavior and malleable have been widely used in recent years, including the design of memristor circuits with diferent orders and the construction of circuit models [9][10][11][12]. As a nonlinear dual-port element, memristor is added to the classical nonlinear system, such as Chua's circuit [13], Lorenz system [14], and Chen's system [15].…”