Circuit Implementation, Synchronization of Multistability, and Image Encryption of a Four-Wing Memristive Chaotic System

Abstract

The four-wing memristive chaotic system used in synchronization is applied to secure communication which can increase the difficulty of deciphering effectively and enhance the security of information. In this paper, a novel four-wing memristive chaotic system with an active cubic flux-controlled memristor is proposed based on a Lorenz-like circuit. Dynamical behaviors of the memristive system are illustrated in terms of Lyapunov exponents, bifurcation diagrams, coexistence Poincaré maps, coexistence phase diagrams, and attraction basins. Besides, the modular equivalent circuit of four-wing memristive system is designed and the corresponding results are observed to verify its accuracy and rationality. A nonlinear synchronization controller with exponential function is devised to realize synchronization of the coexistence of multiple attractors, and the synchronization control scheme is applied to image encryption to improve secret key space. More interestingly, considering different influence of multistability on encryption, the appropriate key is achieved to enhance the antideciphering ability.

Chaos-Based Application of a Novel Multistable 5D Memristive Hyperchaotic System with Coexisting Multiple Attractors

“…Memristor is a kind of hardware implementation component of memory nonlinear electronic memristor chaotic circuit, which has research significance in chaotic secure communication, image encryption, neural networks, and other fields [52][53][54][55][56]. It describes the relationship between magnetic flux and charge.…”

Recent Advances in Dimensionality Reduction Modeling and Multistability Reconstitution of Memristive Circuit

“…Multistability has been reported in different scientific fields such as physics, chemistry, biology, and economy [13]. Because of its sensitive dependence on state initial, the multistability phenomenon can induce the system to switch between different coexisting states under the fixed system parameters, which provides great flexibility for the engineering application of the multistable system [8,9,13,105,[132][133][134]. But, at the same time, it is easy to lead the application systems to abnormal working states, which puts forward a severe test to the multistable mode control strategy.…”

“…e multistability of the memristive circuit/system can provide more flexibility for the memristive circuit/ system to be applied in engineering application fields of image processing, signal encryption, and so on [8,9,105,[132][133][134][135][136][137]. However, due to the sensitive dependence of the multistability on the state initial, there are two main problems when the traditional analysis method is used to analyze the multistable mode of the memristive circuit/ system.…”

“…By keeping the system parameters unchanged and changing the state initials, the trajectories of the memristive circuits and systems can asymptotically approach to different stable states, showing the state initial-dependent multistability [2,3] or extreme multistability [4][5][6][7], i.e., coexisting multiple or infinitely many attractors. On the one hand, these coexisting multistable modes can provide more flexibility for information engineering applications [8][9][10][11]; on the other hand, it may also lead the application systems to abnormal working states [12]. ese ungovernable problems pose a severe test for realizing the control of multistable modes.…”

Analysis, Stabilization, and DSP-Based Implementation of a Chaotic System with Nonhyperbolic Equilibrium

“…And, this kind of chaotic system does not belong toŠil'nikov sense of the chaotic system, and it is difficult to prove the existence of chaos byŠil'nikov theorem. At present, chaotic systems with special features, such as chaotic systems with nonequilibrium, with multistability and with hyperbolic and nonhyperbolic equilibrium coexisting, have attracted extensive attention by researchers [26,27]. erefore, the Kaplan-Yorke dimension is fractional.…”