Abstract
By introducing a flux‐controlled memristor with quadratic nonlinearity into a 4D hyperchaotic system as a feedback term, a novel 5D hyperchaotic four‐wing memristive system (HFWMS) is derived in this paper. The HFWMS with multiline equilibrium and three positive Lyapunov exponents presented very complex dynamic characteristics, such as the existence of chaos, hyperchaos, limit cycles, and periods. The dynamic characteristics of the HFWMS are analyzed by using equilibria, phase portraits, poincare map, Lyapunov exponential spectrum, bifurcation diagram, and spectral entropy. Of particular interest is that this novel system can generate two‐wing hyperchaotic attractor under appropriate parameters and initial conditions. Moreover, the FPGA realization of the novel 5D HFWMS is reported, which prove that the system has complex dynamic behavior. Finally, synchronization of the 5D hyperchaotic system with different structures by active control and a secure signal masking application of the HFWMS are implemented based on numerical simulations and FPGA. This research demonstrates that the hardware‐based design of the 5D HFWMS can be applied to various chaos‐based embedded system applications including random number generation, cryptography, and secure communication.
Highlights
It is an ideal choice to synchronize the chaotic system with field programmable gate array (FPGA), which has high reliability because it does not have the problem of temperature drift of components
It can be seen that all synchronization errors tend to zero. is is the same as the Matlab simulation in Figure 15 of synchronization errors. erefore, the synchronization of 5D hyperchaotic systems with different structures designed by FPGA can work normally on hardware
Dynamical analysis is performed in terms of equilibrium points, phase portraits, Poincare map, Lyapunov exponential spectrum, bifurcation diagram, and spectral entropy. en, the four-wing, two-wing, period-5, and quasi-periodic phase portraits of the novel 5D hyperchaotic memristive system are carried out on FPGA, and a discrete time FPGA-based design of the 5D hyperchaotic four-wing memristive system (HFWMS) is implemented on ModelSim using the RK-4 algorithm. e maximum operating frequency of the designed chaos-based system reaches 147.863 MHz
Summary
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]. Erefore, researchers began to focus on digital circuits with low cost, short design cycle, fast speed, low power consumption, and high accuracy, such as digital signal processor (DSP) [61, 62] and field programmable gate array (FPGA) [63,64,65,66] It takes a long time for DSPs to generate chaotic signals at high frequencies and DSP chips to perform operations in order to calculate the value of output signals. Active control synchronization of the 5D hyperchaotic system with different structures and a secure signal masking application of the 5D HFWMS are implemented based on numerical simulations and FPGA. The active control synchronization and chaotic secure communication design of the 5D HFWMS are achieved, and the FPGA experimental results are presented.
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