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Dynamical analysis and microcontroller implementation of fractal resistive-capacitive shunted Josephson junction

PHYSICA SCRIPTA 2022年第12期97卷 125205-125205页

作者： Ngongiah, Isidore Komofor Ramakrishnan, Balamurali Njitacke, Zeric Tabekoueng Kuiate, Gaetan Fautso Kingni, Sifeu Takougang Univ Bamenda Fac Sci Dept Phys POB 39 Bamenda Cameroon Chennai Inst Technol Ctr Nonlinear Syst Chennai 600069 Tamilnadu India Univ Buea Coll Technol Dept Elect & Elect Engn POB 63 Buea Cameroon Univ Bamenda Higher Teacher Training Coll Dept Phys POB 39 Bamenda Cameroon Univ Maroua Natl Adv Sch Mines & Petr Ind Dept Mech Petr & Gas Engn POB 46 Maroua Cameroon Univ Bamenda Natl Higher Polytech Inst Dept Mech & Ind Engn POB 39 Bamenda Cameroon

The resistive-capacitive shunted Josephson junction (JJ) with fractal propertiesis scrutinized in this paper. The rate equations betelling the fractal resistive-capacitive shunted Josephson junction (FRCSJJ) are established and have for the external biasing direct current (DC) source less than or equal to 1 two equilibrium points and no equilibrium point for the external biasing DC source greater than 1. Stability characterization by the Routh-Hurwitz critic indicates one stable equilibrium point called the 'stable node' and the other unstable referred to as the 'saddle-node'. Current-voltage (C-V) characteristics depict the sensitivity of the hysteresis loop to the two fractal parameters. With an external alternative current (AC) source used in biasing FRCSJJ, the model exhibits periodic bursting oscillations, periodic oscillations, reverse period-doubling route to chaotic oscillations, periodic and chaotic bubbles, antimonotonicity, different shapes of chaotic dynamics, and mutual interaction between complex oscillations and period-4-oscillations. Finally, the accomplishment of the microcontroller implementation of FRCSJJ establishes the quantitative agreement with numerically obtained dynamics.

关键词： fractal insulating layer josephson junction hysteresis loop width bursting oscillations chaotic and coexisting attractors microcontroller implementation

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Resistive-capacitive shunted Josephson junction with unharmonic current-phase relation: Analysis and microcontroller implementation

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PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS 2022年第0期603卷

作者： Ngongiah, Isidore Komofor Ramakrishnan, Balamurali Njitacke, Zeric Tabekoueng Kuiate, Gaetan Fautso Kingni, Sifeu Takougang Univ Bamenda Fac Sci Dept Phys POB 39 Bamenda Cameroon Chennai Inst Technol Ctr Nonlinear Syst Chennai 600069 Tamilnadu India Univ Buea Coll Technol Dept Elect & Elect Engn POB 63 Buea Cameroon Univ Bamenda Higher Teacher Training Coll Dept Phys POB 39 Bamenda Cameroon Univ Bamenda Natl Higher Polytech Inst Dept Mech & Ind Engn POB 39 Bamenda Cameroon Univ Maroua Natl Adv Sch Mines & Petr Ind Dept Mech Petr & Gas Engn POB 46 Maroua Cameroon

This paper discusses the theoretical analysis and microcontroller implementation of resistive-capacitive shunted Josephson junction (JJ) with unharmonic current-phase relation. The rate equations describing the system under study exhibit no, two, or four equilibrium points and their stability are *** presence of Pitchfork bifurcation depends on the unharmonic parameter and the external direct current (DC) source. The hysteresis of current-voltage characteristics in resistive-capacitive shunted JJ with unharmonic current-phase relation is sensitive to the unharmonic parameter. The system under study exhibits periodic oscillations, continuous spiking oscillations, periodic bursting oscillations, and chaotic attractors with varying shapes which are sensitive to the modulation and unharmonic parameters. Finally, the microcontroller implementation of resistive-capacitive shunted JJ with unharmonic current-phase relation is realized and the microcontroller results are qualitatively the same as those obtained during the numerical simulations. (C) 2022 Elsevier B.V. All rights reserved.

关键词： Unharmonic current-phase relation Continuous spiking oscillations Pitchfork bifurcation Hysteresis loop Periodic and chaotic bursting oscillations microcontroller implementation

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Josephson junction snap oscillator with megastability: microcontroller implementation and its applications to secure medical images

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PRAMANA-JOURNAL OF PHYSICS 2022年第4期96卷 175-175页

作者： Ramakrishnan, Balamurali Tsafack, Nestor Tsafack, Alex Stephane Kemnang Njitacke, Zeric Tabekoueng Kingni, Sifeu Takougang Chennai Inst Technol Ctr Nonlinear Syst Chennai 600069 Tamil Nadu India Univ Douala Elect Engn & Ind Comp Dept Res Unit Lab Energy & Artificial Intelligence RU ISTAMA POB 3223 Douala Cameroon Univ Buea Coll Technol Dept Elect & Elect Engn POB 63 Buea Cameroon Univ Maroua Fac Mines & Petr Ind Dept Mech Petr & Gas Engn POB 46 Maroua Cameroon

Megastability and coexisting attractors between periodic and self-excited chaotic attractors in the Josephson junction snap oscillator (JJSO) are reported in this paper. Two different cases are considered for this study. In one case, the JJSO is driven by a direct current (DC) whereas in the other case, it is driven by an alternative current (AC). The JJSO is implemented using a microcontroller to verify the numerical simulation results. The numerical simulations and microcontroller results have a qualitatively good agreement. Finally, an encryption scheme based on the modified Julia set, deoxyribonucleic acid (DNA) principle, and the sequences of the chaotic JJSO in this work are used to build a secure key to secure medical images. The plain colour image is decomposed into a blue component. The generated secure key is applied to one component to obtain the corresponding sparse components. Confusion keys are obtained from the chaotic JJSO to scramble each sparse component. Besides, the chaotic sequence is used to compress the confused sparse matrices corresponding to the blue components. Lastly, the component is quantified and a diffusion step is then applied to improve the randomness and consequently the information entropy.

关键词： Josephson junction snap oscillator megastability coexisting attractors microcontroller implementation chaos-based encryption

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Josephson junction model with cosine interference term: Analysis, microcontroller implementation, and network analysis

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PHYSICA SCRIPTA 2021年第12期96卷 125232-125232页

作者： Ramadoss, Janarthanan Ngongiah, Isidore Komofor Chamgoue, Andre Cheage Mboupda Pone, Justin Roger Rajagopal, Karthikeyan Kingni, Sifeu Takougang Chennai Inst Technol Ctr Artificial Intelligence Chennai 600069 Tamil Nadu India Univ Bamenda Fac Sci Dept Phys POB 39 Bamenda Cameroon Univ Ngaoundere Sch Geol & Min Engn POB 115 Meiganga Cameroon Univ Dschang Elect Engn Dept IUT FV Res Unit Automat & Appl Comp RU AIA POB 134 Bandjoun Cameroon Chennai Inst Technol Ctr Nonlinear Syst Chennai 600069 Tamil Nadu India Univ Maroua Fac Mines & Petr Ind Dept Mech Petr & Gas Engn POB 46 Maroua Cameroon

The dynamical behavior of a single and network of Josephson junction (JJ) model with cosine interference term (CIT) is explored in this paper. The rate-equations describing a single JJ model with CIT have no or two equilibrium points as a function of direct current (DC). The stability of two equilibrium points reveals that one of the equilibrium points is stable node and other is saddle node. The presence of CIT leads to the change of regular spiking and intrinsic bursting to periodic bursting. JJ circuit model with CIT shows the existence of bistable periodic attractors, periodic attractors, hidden chaotic attractors, and coexisting attractors during the numerical simulations. By increasing the coherence parameter, the coexisting attractors are controlled to bistable limit cycles. The microcontroller implementation of the JJ model with CIT is implemented to ascertain the results of numerical simulations. To demonstrate the collective behavior of the JJ model with CIT, a lattice array of identical JJ models with CIT is constructed and studied. By considering the coupling constant as the control parameter, it is demonstrated that the existence of incoherent nodes for lower coupling values and formation of chimera states when the coupling strength is increased.

关键词： Josephson junction cosine interference term bistable and coexisting attractors hidden chaotic attractor microcontroller implementation chimera

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Analysis, Synchronization and microcontroller implementation of a Generalized Hyperjerk System, with Application to Secure Communications Using a Descriptor Observer 5

Analysis, Synchronization and Microcontroller Implementation...

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5th PAnhellenic Conference on Electronics and Telecommunications (PACET)

作者： Moysis, Lazaros Volos, Christos Takhi, Hocine Kemih, Karim Goudos, Sotirios Nistazakis, Hector E. Aristotle Univ Thessaloniki Phys Dept Thessaloniki Greece Jijel Univ Elect Dept L2EI Lab Jijel Algeria Natl & Kapodistrian Univ Athens Fac Phys Dept Elect Comp Telecommun & Control Athens Greece

ISBN: (纸本)9781728143606

This work proposes a novel hyperjerk system, as a generalization of a hyperjerk system proposed by Dalkiran and Sprott. Initially an analysis of the dynamical behavior of the system is performed. Then, the system is applied to the problem of secure communications. This is done by considering the transmitting signal as an additional state, leading to a rectangular descriptor system, for which an observer is designed, thus achieving synchronization and safe input reconstruction. The design is illustrated through numerical simulations and a microcontroller implementation.

关键词： Chaos synchronization hyperjerk system observer design descriptor systems microcontroller implementation

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Fractional-order bi-Hopfield neuron coupled via a multistable memristor: Complex neuronal dynamic analysis and implementation with microcontroller

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AEU-INTERNATIONAL JOURNAL OF ELECTRONICS AND COMMUNICATIONS 2025年 191卷

作者： Tamba, Victor Kamdoum Biamou, Arsene Loic Mbanda Pham, Viet-Thanh Grassi, Giuseppe Tagne, Francois Kapche Takougang, Armand Cyrille Nzeukou Univ Dschang Dept Telecommun & Network Engn IUT Fotso Victor Bandjoun POB 134 Bandjoun Cameroon Univ Dschang Dept Elect Engn Res Unit Automat & Appl Comp IUT FV Bandjoun POB 134 Bandjoun Cameroon Ind Univ Ho Chi Minh City Fac Elect Technol Ho Chi Minh City Vietnam Univ Salento Dept Engn Innovat I-73100 Lecce Italy Univ Dschang Fac Sci Dept Phys Res Unit Condensed Matter Elect & Signal Proc POB 67 Dschang Cameroon

The Hopfield neuron is an artificial neuron model used for pattern memorization and recognition. It exhibits a complex dynamic with stable states corresponding to memorized patterns. In order to grasp a more complete representation of the information exchange between two neurons, emphasizing the importance of neuronal connections in brain processing, we propose in this work the coupling of two fractional-order Hopfield neurons via a fractional-order flux-controlled multistable memristor. Each of these two neurons incorporates a selfcoupling memristive component, called an autapse memristor. Additionally, the second neuron is subjected to an external electromagnetic radiation, simulated by an additional memristor. The I-V characteristics of the memristors integrated in this model are analyzed through numerical simulations. The simulations of model dynamics versus its diverse parameters have revealed rich and complex dynamical behaviors. These simulations demonstrate that the proposed model generates a variety of homogeneous and heterogeneous chaotic attractors, distributed at diverse locations. The elaborated memristor coupled fractional-order bi-Hopfield neuron MCFBHN model is implemented on an Arduino-Due platform. A comparison of the results of the two approaches shows good consistency.

关键词： Fractional-order memristive Hopfield neural network Autapse memristor External electromagnetic radiation memristor Memristor initial boosting behaviors microcontroller implementation

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Real-Time Stress Detection via Photoplethysmogram Signals: implementation of a Combined Continuous Wavelet Transform and Convolutional Neural Network on Resource-Constrained microcontrollers 32

Real-Time Stress Detection via Photoplethysmogram Signals: I...

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32nd International Conference on Electrical Engineering (ICEE)

作者： Hasanpoor, Yasin Rostami, Amin Tarvirdizadeh, Bahram Alipour, Khalil Ghamari, Mohammad Univ Tehran Adv Serv Robots ASR Lab Fac New Sci & Technol Dept Mech Engn Tehran Iran Kettering Univ Dept Elect & Comp Engn Flint MI USA

ISBN: (纸本)9798350376357;9798350376340

This paper introduces a robust stress detection system utilizing a Convolutional Neural Network (CNN) designed for the analysis of Photoplethysmogram (PPG) signals. Employing the WESAD dataset, we applied Continuous Wavelet Transform (CWT) to extract informative features from wrist PPG signals, demonstrating enhanced stress detection and learning compared to conventional techniques. Notably, the CNN achieved an impressive accuracy of 93.7% after five epochs, post-implementation on a resource-constrained microcontroller. The optimization process, including pruning and Post-Train Quantization, was crucial to reduce the model size to 1.6 megabytes, overcoming the microcontroller's limited resources of 2 megabytes of Flash memory and 512 kilobytes of RAM. This optimized model not only addresses resource constraints but also outperforms traditional signal processing methods, positioning it as a promising solution for real-time stress monitoring on wearable devices.

关键词： Stress Detection Photoplethysmogram (PPG) microcontroller implementation Convolutional Neural Network (CNN) Continuous Wavelet Transform (CWT)

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Jeffrey fluid saturating a heated porous layer: Dynamical and microcontroller execution probing

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PHYSICA SCRIPTA 2024年第7期99卷

作者： Muthukumar, Deiva Sundari Kibanya, Noel Nyang Metsebo, Jules Sekhar, D. Chandra Kuiate, Gaetan Fautso Chennai Inst Technol Ctr Nonlinear Syst Chennai 600069 Tamil Nadu India Univ Bamenda Fac Sci Dept Phys POB 39 Bamenda Cameroon Univ Maroua Natl Adv Sch Engn Dept Hydraul & Water Management POB 46 Maroua Cameroon Vemu Inst Technol Dept Elect & Elect Engn Chithoor India Univ Bamenda Higher Teacher Training Coll Dept Phys POB 39 Bamenda Cameroon Univ Bamenda Natl Higher Polytech Inst Dept Mech & Ind Engn POB 39 Bamenda Cameroon

In this paper, a dynamical investigation and microcontroller execution on a Jeffrey fluid saturating a porous layer with bottom heating and periodic modulation of gravity is carried out. The continuity equation, the energy conservation equation and the Boussinesq-Darcy approximation are used to describe the Jeffrey fluid saturating a porous layer with bottom heating and periodic gravity modulation. Thanks to the truncated Galerkin expansion method, the partial differential equations obtained from the modelling is reduced to four first order ordinary differential equations. This four-dimensional system without gravity modulation has three or one steady states depending on the scaled thermal Rayleigh number and the non-dimensional ratio of relaxation time to the retardation time of the fluid. From the stability analysis of the obtained equilibrium points in the four-dimensional system without gravity modulation, it is revealed that the steady states are stable or unstable depending on the non-dimensional ratio of relaxation time to retardation time of the fluid. Without gravity modulation, the four-dimensional system experiences Hopf bifurcation, steady convection, periodic convections, seven different shapes of chaotic convections, bistable period-1-convection, bistable period-3-convections and coexisting convections. With the sinusoidal periodic gravity modulation, the four-dimensional system displays Hopf bifurcation, steady convections, periodic convections, bursting convections, quasiperiodic convections and three different shapes of chaotic convections. A microcontroller execution of the four-dimensional system is used to establish the convection characteristics spotted in the four-dimensional system without and with sinusoidal periodic gravity modulation during the numerical simulations.

关键词： Jeffrey fluid saturating a porous medium truncated Galerkin expansion method Hopf bifurcation bistable and coexisting convections bursting and chaotic convections microcontroller implementation

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

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MULTIMEDIA TOOLS AND APPLICATIONS 2024年第31期83卷 75955-75994页

作者： Ayemtsa Kuete, Gideon Pagnol Heucheun Yepdia, Lee Mariel Tiedeu, Alain Mboupda Pone, Justin Roger Univ Yaounde I Natl Adv Sch Engn Yaounde Instrumentat Signal & Image Lab POB 8390 Yaounde Cameroon Univ Dschang Elect Engn Dept IUT FV Bandjoun Res Unit Automat & Appl Comp RU AIA POB 134 Bandjoun Cameroon Univ Yaounde I Natl Adv Sch Engn Ingenierie Math & Syst Informat POB 8390 Yaounde Cameroon

Medical images make up for more than 25% of global attacks on privacy. Securing them is therefore of utmost importance. Chaos based image encryption is one of the most method suggested in the literature for image security due to their intrinsic characteristic, including ergodicity, aperiodicity, high sensitivity to initials conditions and system parameters. Dynamic systems such as bridge circuit, jerk circuit, Van der Pol circuit, Colpitts oscillator and many other pseudo-random numbers generators have been used in the process of encrypting images. Among them, are the jerk oscillators that have been used with different nonlinearities. In this paper, a new, simple, off-shell component of jerk oscillator (jerk quintic) with an interesting nonlinear function is proposed. Its dynamical behaviors are investigated using classical tools like bifurcation diagrams, Maximum Lyapunov exponent plot, basin of attraction, phase portraits. We showed that the nonlinear function is responsible of complex nonlinear behaviors displayed by the novel circuit, including symmetric/asymmetric bifurcation and coexisting bubbles, multistability just to name a few. The real implementation of the interesting circuit is embedded in a microcontroller verifies these dynamics. As an application of this contribution in multimedia, an encryption algorithm built on a new confusion-diffusion architecture using pseudo random number generated in high chaoticity regime of the new circuit is proposed. The cryptosystem underwent thorough security tests and proved to be fast thanks to the 3D map used, given its complex dynamical behaviors and large chaotic area. This approach yields a robust cipher that underwent thorough security tests better than the one in the literature like average NPCR=99.61, UACI=33.48, key space-sensitivity, entropy=7.9994, average correlation=0.0040. Furthermore, it proved to be robust in terms of noise and data loss in the transmission channel, offering a large key space of 10180

关键词： Novel quintic jerk circuit Coexisting bubbles Bifurcation Multistability Chaos microcontroller implementation Image encryption Key space Cryptanalysis test Differential attacks

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Nonlinear dynamics of a Josephson junction coupled to a diode and a negative conductance

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JOURNAL OF COMPUTATIONAL ELECTRONICS 2024年第5期23卷 1000-1013页

作者： Kakpo, M. A. Miwadinou, C. H. Univ Natl Sci Ecole Doctorale Sci Technol Ingenierie & Math ED S Abomey Benin Inst Math & Sci Phys Lab Mecan Fluides Dynam Nonlineaire & Modelisat Sy Porto Novo Benin UNSTIM Dept Phys ENS Natitingou Abomey Benin

We studied the nonlinear dynamics of a shunted inductive Josephson junction coupled to a diode and a negative conductance. Taking into account the non-harmonicity of the junction, based on Kirchhoff's laws, we have developed the mathematical model which governs the dynamics of the circuit. The fixed points of the system are determined, and their stabilities are analyzed using the Routh-Hurwitz criterion. The bifurcation and transition to chaos of the model are studied using the the fourth-order Runge-Kutta method;the system displays a rich dynamics. The range of values of each parameter leading to periodic and chaotic electrical oscillations is obtained through the analysis of the effect of these parameters on each type of dynamics. Finally, the implementation by microcontroller is carried out in order to experimentally verify the different dynamics obtained numerically.

关键词： Josephson junction Negative conductance Bifurcation Chaos microcontroller implementation

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