Four-Scroll Hyperchaotic Attractor in a Five-Dimensional Memristive Wien Bridge Oscillator: Analysis and Digital Electronic Implementation

Kitio, Gabin Jeatsa; Ainamon, Cyrille; Rajagopal, Karthikeyan; Kengne, Léandre Kamdjeu; Kingni, Sifeu Takougang; Pone, Justin Roger Mboupda

doi:10.1155/2021/4820771

Cited by 3 publications

(4 citation statements)

References 65 publications

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“…A system is sensitive toward a parameter when, by plotting the bifurcation diagram versus that parameter, we observe a qualitative and quantitative change in the dynamics. This behavior is generally observed in chaotic oscillators as Wien bridge oscillator [74], jerk circuit [75], and more others.…”

Section: Transition To Chaos With the Parameter αmentioning

confidence: 62%

“…The system exhibits period-2 oscillations in the range 1 < 𝛼 < 1.18 followed by chaotic oscillations up to = 1.28 . Then, a periodic dynamic of period −7 appears followed by a chaotic dynamics in an explanatory way: This is the intermittency route to chaos phenomenon [74]. Figure 5b is the plot of the maximum exponent of Lyapunov for increasing and decreasing value of the control parameter α: 1 < 𝛼 < 1.5 .…”

Section: Transition To Chaos With the Parameter αmentioning

confidence: 97%

“…The multistability is the ability of a system to present different a long-term dynamic with the same set of system parameters and with only changing initial conditions. In chaotic systems, it is defined by the coexistence of multiple attractors in phase space [74,81]. Note that these solutions are found by fixing the system parameters and by just varying only the initial conditions [82].…”

Section: Dynamics 2 Revealed: Coexistence Of Multiple Attractorsmentioning

confidence: 99%

“…In this section, we proposed an embedded system of the Chua memristive circuit based on the Arduino MEGA microcontroller to confirm the revealed dynamics. This is one of the best methods of implementing dynamic systems because the implementation errors are very low [74]. Note that there are also other digital implementations using FPGA, FPAA, or PIC microcontrollers.…”

Section: Experimental Study: Microcontroller Implementationmentioning

confidence: 99%

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Biomedical Image Encryption with a Novel Memristive Chua Oscillator Embedded in a Microcontroller

et al. 2023

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In this paper, a chaos-based encryption/decryption scheme using a novel memristive Chua oscillator to protect medical images is presented. The novel Chua oscillator is constructed by using the active voltage memristor in the nonlinear branch of the Chua oscillator. The chaotic dynamics behaviors are investigated using 1-D, 2-D bifurcation diagrams, time traces, basin of attractions, and largest Lyapunov exponent plot. The study reveals that the novel memristive Chua oscillator exhibits versatile transitions to chaos with interesting dynamics like multistability, spiking, and bursting oscillations just to name a few. These remarkable features are experimentally confirmed by a laboratory microcontroller-based setup. Thereafter, a chaos-based cryptography algorithm designed for biomedical images is built using pseudorandom number generated from the oscillator. The robustness and security tests undergone by the algorithm yielded high sensitivity on the encryption keys and resisted noise contamination as well as data loss. These results are encouraging and prove that the chaos-based cryptosystem built with the memristive Chua circuit-generated pseudorandom number is suitable for securing images in a healthcare system.

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Section: Transition To Chaos With the Parameter αmentioning

confidence: 62%

Section: Transition To Chaos With the Parameter αmentioning

confidence: 97%

Section: Dynamics 2 Revealed: Coexistence Of Multiple Attractorsmentioning

confidence: 99%

Section: Experimental Study: Microcontroller Implementationmentioning

confidence: 99%

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Biomedical Image Encryption with a Novel Memristive Chua Oscillator Embedded in a Microcontroller

et al. 2023

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Medical image cryptosystem using a new 3-D map implemented in a microcontroller

Ayemtsa Kuete,

Heucheun Yepdia,

Tiedeu

et al. 2024

Multimed Tools Appl

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Effect of electromagnetic radiations on the dynamics of a five-chain coupled inertial Hopfield neural network and control of multi-stability with the selection of a desired attractor

Dongmo,

Kengne,

Chedjou

2024

Phys. Scr.

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In this paper, we investigate the effect of electromagnetic radiation on the dynamics of a network consisting of five chain-coupled inertial Hopfield neurons. The study revealed that the neural system designed such a way involves several complex phenomena, namely Hopf bifurcation, chaos, hyperchaos and the coexistence of up to thirty-two attractors in phase space. The complexity specific to our system is due to the higher number of equilibrium points, namely two hundred and forty-three. Under the conditions of safe functioning of our neural system (chaos or hyperchaos), we have been able to observe that electromagnetic radiation has a harmful character for the system, because we found for a range of variation in the intensity of the electromagnetic feedback induction current a coexistence of chaotic and periodic states (epileptic state). We then controlled the multi-stability using a desired attractor selection scheme, with the aim of suppressing the pathological state. All the work carried out in this contribution is done with the help of dynamical system analysis tools such as the bifurcation diagram, the spectrum and the maximum exponent of Lyapunov, phase portraits and basins of attraction. The scheme used is the Runge-Kutta-4. In order to validate the numerical results, we use analog calculation and some results were derived from the Pspice software. These results are in good accordance in amplitude and location on the plane to those of numerical simulations.

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Four-Scroll Hyperchaotic Attractor in a Five-Dimensional Memristive Wien Bridge Oscillator: Analysis and Digital Electronic Implementation

Cited by 3 publications

References 65 publications

Biomedical Image Encryption with a Novel Memristive Chua Oscillator Embedded in a Microcontroller

Biomedical Image Encryption with a Novel Memristive Chua Oscillator Embedded in a Microcontroller

Medical image cryptosystem using a new 3-D map implemented in a microcontroller

Effect of electromagnetic radiations on the dynamics of a five-chain coupled inertial Hopfield neural network and control of multi-stability with the selection of a desired attractor

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