A Review of the Digital Implementation of Continuous-Time Fractional-Order Chaotic Systems Using FPGAs and Embedded Hardware

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

“…Trough the FPGA digital circuit experiment [11,40], the chaotic phase diagram of the system is realized on the digital oscilloscope to illustrate the rationality of the system design. In this paper, an FPGA based on the Xilinx XC6SLX16-2FTG256I chip is chosen, which has the advantages of low statics, adjustable I/O port conversion rate, abundant logic resources, and large logic capacity.…”

“…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].…”

Performance analysis of digitally controlled nonlinear systems considering time delay issues

“…In the analysis of nonlinear systems, an additional crucial aspect to consider is discretization, which involves converting continuous-time systems into discrete-time representations [ 11 ]. Discretization becomes particularly significant when implementing systems on digital platforms, where continuous-time signals need to be sampled and computations must be performed at specific time intervals [ 12 ]. The selection of appropriate discretization techniques holds substantial implications for the accuracy, stability, and overall performance of nonlinear systems [ 13 ].…”

Hamilton energy of a complex chaotic system and offset boosting

“…Chaos theory as a branch of nonlinear science, it has been widely applied in economy [3], weak signal detection [4][5][6], medical diagnosis [7][8][9], image encryption [10][11][12], neural network [13][14][15], and secure communication [16][17][18]. So far, the researchers have proposed a variety of chaotic systems, such as the continuous chaotic systems [16,[19][20][21][22][23][24][25], continuous fractional order chaotic systems [26,27], discrete chaotic maps [28,29], fractional order discrete chaotic maps [30][31][32], memristive chaotic systems [33,34] and maps [35,36], complex chaotic systems [37,38].…”