A novel memristive 6D hyperchaotic autonomous system with hidden extreme multistability

Mezatio, Brice Anicet; Motchongom, M. T.; Tekam, Blaise Raoul Wafo; Kengne, Romanic; Tchitnga, Robert; Fomethe, A.

doi:10.1016/j.chaos.2019.01.015

Cited by 127 publications

(46 citation statements)

References 53 publications

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“…Multistability refers to the phenomenon that the system shows different dynamic characteristics and different attractors coexist under same parameters [62]. In recent years, the study of multistability and coexistence attractors is a hot topic in nonlinear dynamics [63][64][65][66][67][68][69][70]. Lai et al [63] showed the coexistence behavior of different attractors under different initial conditions and parameter values, such as four limit cycles, and two double-scroll attractors with a limit cycle.…”

Section: Introductionmentioning

confidence: 99%

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

Liu

Qian

et al. 2020

Complexity

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Novel memristive hyperchaotic system designs and their engineering applications have received considerable critical attention. In this paper, a novel multistable 5D memristive hyperchaotic system and its application are introduced. The interesting aspect of this chaotic system is that it has different types of coexisting attractors, chaos, hyperchaos, periods, and limit cycles. First, a novel 5D memristive hyperchaotic system is proposed by introducing a flux-controlled memristor with quadratic nonlinearity into an existing 4D four-wing chaotic system as a feedback term. Then, the phase portraits, Lyapunov exponential spectrum, bifurcation diagram, and spectral entropy are used to analyze the basic dynamics of the 5D memristive hyperchaotic system. For a specific set of parameters, we find an unusual metastability, which shows the transition from chaotic to periodic (period-2 and period-3) dynamics. Moreover, its circuit implementation is also proposed. By using the chaoticity of the novel hyperchaotic system, we have developed a random number generator (RNG) for practical image encryption applications. Furthermore, security analyses are carried out with the RNG and image encryption designs.

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Section: Introductionmentioning

confidence: 99%

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

Liu

Qian

et al. 2020

Complexity

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“…, and x 5 are state variables. e memductance function W(ψ) � 1 − β|ψ| [52], ψ and β being its flux variable and positive constant parameter, respectively. It is easy to see that system (1) is invariant under the transformation…”

Section: New 5d Multistable Fwmhs and Its Dynamicsmentioning

confidence: 99%

“…For chaotic systems, hidden attractors [42][43][44][45][46] and infinite attractors [47][48][49][50] can exhibit multistability. For example, complex dynamic behaviors of coexisting attractors [51], transient chaos [52], and limit cycle [53] can be observed from hidden attractors. Recently, various multistable memristive hyperchaotic systems have been proposed in many literatures.…”

Section: Introductionmentioning

confidence: 99%

“…Recently, various multistable memristive hyperchaotic systems have been proposed in many literatures. In [52], by introducing a flux-controlled memristor model into an existing 5D hyperchaotic autonomous system, a 6D hyperchaotic autonomous system with hidden extreme multistability is proposed. Some attractive dynamics are observed like transient chaos, bursting, and offset boosting phenomenon.…”

Section: Introductionmentioning

confidence: 99%

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Secure Communication Scheme Based on a New 5D Multistable Four-Wing Memristive Hyperchaotic System with Disturbance Inputs

Zhang

Liu

et al. 2020

Complexity

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By introducing a flux-controlled memristor model with absolute value function, a 5D multistable four-wing memristive hyperchaotic system (FWMHS) with linear equilibrium points is proposed in this paper. The dynamic characteristics of the system are studied in terms of equilibrium point, perpetual point, bifurcation diagram, Lyapunov exponential spectrum, phase portraits, and spectral entropy. This system is of the group of systems that have coexisting attractors. In addition, the circuit implementation scheme is also proposed. Then, a secure communication scheme based on the proposed 5D multistable FWMHS with disturbance inputs is designed. Based on parametric modulation theory and Lyapunov stability theory, synchronization and secure communication between the transmitter and receiver are realized and two message signals are recovered by a convenient robust high-order sliding mode adaptive controller. Through the proposed adaptive controller, the unknown parameters can be identified accurately, the gain of the receiver system can be adjusted continuously, and the disturbance inputs of the transmitter and receiver can be suppressed effectively. Thereafter, the convergence of the proposed scheme is proven by means of an appropriate Lyapunov functional and the effectiveness of the theoretical results is testified via numerical simulations.

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“…Above all, it is important for us to remember that, PSpice (Personal simulation program with integrated circuit emphasis) analysis is one of the most common approaches used in nonlinear electronics to validate theoretical results [32]. Indeed, PSpice offers a suitable environment where electronic circuit is built up and further simulated as in real time experiment [40]. One of the main advantage of such approach is that one can easily choose the suitable electronics components which will further being used either in numerical analysis or in real experimental investigations [32,41].…”

Section: Circuit Realization In a Relaymentioning

confidence: 99%

Adaptive Relay Configuration Based on the Novel Hyperchaotic Three-Components Oscillator Operating at High Frequency: Global Synchronization

Mezatio¹,

Motchongom²,

Kengne³

et al. 2020

CSSP

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This article is investigating from one of best control technique known as periodically intermittent discrete observation control (PIDOC), the problem of global synchronization based on a relay configuration of three novel hyperchaotic oscillators of three-components (NHO) operating at high frequency. Contrary to traditional periodically intermittent control based on continuous-time state observations, PIDOC used here, chooses discrete-time state observations in work time during a control period. Our analysis has been limited to a range of parameters for which the NHO-type oscillator exhibits bursting oscillations. The global conditions of stability for non-adaptive and adaptive cases have been proven analytically. To the best of our knowledge and in the literature of the relay coupling system, no work has been carried out concerning the study of the stability of adaptive synchronization case. The Synchronization of the system is analysed in terms of its control gain by using time series. The numerical results show that there is global synchronization between the three relay coupled NHO-type oscillators for both non-adaptive and adaptive synchronizations. Moreover, PSpice based simulations of the analog electronic circuit for the non-adaptive case are in good accordance with both theoretical and numerical results.

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A novel memristive 6D hyperchaotic autonomous system with hidden extreme multistability

Cited by 127 publications

References 53 publications

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

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

Secure Communication Scheme Based on a New 5D Multistable Four-Wing Memristive Hyperchaotic System with Disturbance Inputs

Adaptive Relay Configuration Based on the Novel Hyperchaotic Three-Components Oscillator Operating at High Frequency: Global Synchronization

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