Electronic simulation and microcontroller real implementation of an autonomous chaotic and hyperchaotic system made of a Colpitts-Josephson junction like circuit

Monkam, Ybriss Joël; Kingni, Sifeu Takougang; Tchitnga, Robert; Woafo, P.

doi:10.1007/s10470-021-01965-1

Cited by 4 publications

(7 citation statements)

References 60 publications

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“…If we consider the modified Van der Pol model in its autonomous state, as described in [52], the differential equation describing its dynamics is given by equation (1).…”

Section: Van Der Pol Model With Sinusoidal Non-linearitymentioning

confidence: 99%

“…It should be noted that this software is used to model the operation of electronic circuits in order to predict and analyse their behaviour. Here, the electronic circuit is modelled in the form of differential equations [1,2]. These equations are obtained by combining Kirchhoff's and Ohm's laws.…”

Section: Electronic Implementation Of Orcad-pspicementioning

confidence: 99%

“…With the evolution of research, a great deal of work is now being carried out using non-linear oscillators [1][2][3][4][5]. These oscillators are the starting points for the analysis of non-linear behaviour [6][7][8], since most physical phenomena in life in general and in science in particular are interpreted using non-linear analysis tools [8][9][10].…”

Section: Introductionmentioning

confidence: 99%

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Dynamical behavior analysis of the Van der Pol oscillator with sine nonlinearity subjected to non-sinusoidal periodic excitations by the bifurcation structures

et al. 2023

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The present work studies the dynamical behavior of the Van der Pol oscillator with sine nonlinearity oscillator subjected to the effects of non-sinusoidal excitations through the analysis of bifurcation structures. In this work, a modification of the classical Van der Pol oscillator is carried out by replacing the linear term x with the nonlinear term sinn (x) . The idea is to see the impact of the strength of this function on the appearance of chaotic dynamics for small and large values of the nonlinear dissipation term  . For this purpose, studies by numerical simulation and by analogue simulation are proposed. First, using nonlinear analysis tools, a similarity on the bifurcation sequences is observed despite a difference in the ranks of obtaining the particular behaviours and the bifurcation points. This study is confirmed by their respective maximum Lyapunov exponents. In a second step, a real implementation using microcontroller technology, which is motivated by the use of an artificial pacemaker, is carried out. For a more practical case, the excitation signal is generated by another microcontroller. The study shows a similarity with the results obtained numerically. Thirdly, in order to show that the model can be derived from mathematical modelling, an electronic simulation using OrCAD-Pspice software is also proposed. The results obtained are in qualitative agreement

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“…If we consider the modified Van der Pol model in its autonomous state, as described in [52], the differential equation describing its dynamics is given by equation (1).…”

Section: Van Der Pol Model With Sinusoidal Non-linearitymentioning

confidence: 99%

Section: Electronic Implementation Of Orcad-pspicementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Dynamical behavior analysis of the Van der Pol oscillator with sine nonlinearity subjected to non-sinusoidal periodic excitations by the bifurcation structures

et al. 2023

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“…Using Matlab, we calculated the Lyapunov exponents of the 5-D system (1) for the initial state Z(0) = (1, 1, 1, 1, 1), (a, b, c, d) = (40,90,16,15) and T = 1E5 seconds as…”

Section: B Dynamic Properties Of the New Systemmentioning

confidence: 99%

“…Autonomous and nonautonomous chaotic systems have been implemented with different analog and digital electronic devices. For instance, the recent paper in [15] shows the electronic implementation of an autonomous chaotic and hyperchaotic system made of a Colpitts-Josephson junction like circuit and three physical energy storage tanks, namely CLC. The circuit is simulated using the simulation program with integrated circuit emphasis (SPICE), and also, the authors implement the chaotic system using Arduino UNO board that is based on a microcontroller.…”

Section: Introductionmentioning

confidence: 99%

A New 5-D Multistable Hyperchaotic System With Three Positive Lyapunov Exponents: Bifurcation Analysis, Circuit Design, FPGA Realization and Image Encryption

et al. 2022

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In this work, we describe the model of a new 5-D hyperchaotic system with three positive Lyapunov exponents. Since the maximum positive Lyapunov exponent of the proposed hyperchaotic system is larger than twelve, the new hyperchaotic system is highly hyperchaotic. We also show that the new 5-D hyperchaotic system exhibits multistability with coexisting attractors. Using Multisim, we design an electronic circuit for the new 5-D hyperchaotic system. The hardware implementation of the new 5-D hyperchaotic system is done by applying two numerical methods. From the experimental results of the FPGA-based implementation, we show that the attractors observed in a Lecroy oscilloscope are in good agreement with numerical simulations. To prove the reliability of the proposed system for cybersecurity purposes, we presented a new image cryptosystem using our hyperchaotic system. Experimental outcomes show the efficiency and the reliability of our cryptosystem based on the proposed hyperchaotic system.INDEX TERMS Hyperchaos, bifurcations, multi-stability, attractors, Lyapunov exponents, circuit design, FPGA, numerical methods, data security; image cryptosystem.

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Analysis and implementation of computer network graph based on iterative control algorithm theory

Zhang,

Rong,

Zhang

et al. 2023

Soft Comput

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Electronic simulation and microcontroller real implementation of an autonomous chaotic and hyperchaotic system made of a Colpitts-Josephson junction like circuit

Cited by 4 publications

References 60 publications

Dynamical behavior analysis of the Van der Pol oscillator with sine nonlinearity subjected to non-sinusoidal periodic excitations by the bifurcation structures

Dynamical behavior analysis of the Van der Pol oscillator with sine nonlinearity subjected to non-sinusoidal periodic excitations by the bifurcation structures

A New 5-D Multistable Hyperchaotic System With Three Positive Lyapunov Exponents: Bifurcation Analysis, Circuit Design, FPGA Realization and Image Encryption

Analysis and implementation of computer network graph based on iterative control algorithm theory

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