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Dynamical Probing and Suppressing Chaos Using Genetic Algorithms in a Josephson Junction Model with Quadratic Damping Embedded in the microcontroller implementation

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JOURNAL OF VIBRATION ENGINEERING & TECHNOLOGIES 2025年第1期13卷 1-16页

作者： Venkatesh, Jayaraman Kouanou, Aurelle Tchagna Ngongiah, Isidore Komofor Sekhar, D. Chandra Kingni, Sifeu Takougang Chennai Inst Technol Ctr Artificial Intelligence Chennai 600069 Tamilnadu India Univ Buea Coll Technol Dept Comp Engn POB 63 Buea Cameroon Univ Bamenda Fac Sci Dept Phys POB 39 Bambili Cameroon Vemu Inst Technol Dept Elect & Elect Engn Chithoor India Univ Maroua Natl Adv Sch Mines & Petr Ind Dept Mech Petr & Gas Engn POB 46 Maroua Cameroon

BackgroundIn the Josephson junction (JJ), regular damping is observed under conditions of low temperatures and voltages. However, nonlinear damping occurs when temperatures and voltages are *** paper studies the dynamical examination, microcontroller realization and suppression of chaos employing genetic algorithms (GAs) in the smooth nonlinear resistor-capacitor inductor shunted Josephson junction (JJ) circuit (SNRCISJJC).MethodsKirchhoff's laws are used to derive the three-dimensional system with four control parameters describing the SNRCISJJC. The fourth order Runge Kutta algorithm is employed for integration, the ATMEGA2560 for the experimental scheme, and the GAs for parameter *** has no or two steady states depending on the applied current. Leaning on stability exploration of the two steady states, it is unveiled that one steady state is stable and the other steady state is unstable. The SNRCISJJC exhibits period tripling to chaos, intermittency route to chaos, periodic characteristics, periodic bursting characteristics, twelve different shapes of chaotic characteristics, and coexisting characteristics which are validated by the microcontroller scheme. By optimizing all the parameters of SNRCISJJC employing GAs, the chaotic time series of state variables of SNRCISJJC converge towards one of the two steady states which confirm chaos suppression in the SNRCISJJC by employing *** chaotic structures reported in the SNRCISJJC are proven by the microcontroller scheme and are controlled succesfully.

关键词： Smooth nonlinear Josephson junction circuit Coexisting characteristics Periodic bursting and chaotic characteristics microcontroller implementation Control of chaos Genetic algorithms

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microcontroller implementation of a Multivariable Fractional Order PI Controller

Microcontroller Implementation of a Multivariable Fractional...

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19th International Conference on Control Systems and Computer Science

作者： Muresan, Cristina I. Dulf, Eva H. Both, Roxana Palfi, Andrei Caprioru, Mircea Tech Univ Cluj Napoca Dept Automat Control Cluj Napoca Romania

ISBN: (纸本)9780769549804

Fractional order calculus has been used intensively to control various types of processes. The main approaches towards fractional order controllers focus on the single-input-single-output systems. The general design procedure consists in a frequency domain specification of various performance criteria followed by optimization routines. The implementation issues regarding fractional order controllers are based on Oustaloup approximations and are centered on SISO processes. The present paper addresses the problem of implementing on a microcontroller a fractional order multivariable controller for time delay processes. The paper presents a tuning algorithm for determining the parameters of the multivariable fractional order controller and the implementation issues. The multivariable time delay process is implemented in Matlab Simulink environment. The experimental results show that the fractional order multivariable controller implemented on a simple microcontroller provides similar results to that obtained by simulation, even under uncertainty conditions.

关键词： Multivariable fractional order PI robustness experimental results microcontroller implementation

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Chaos and multistability in Josephson junction spurred by a Wien bridge oscillator: microcontroller implementation, chaotic and coexisting attractors controls

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PHYSICA SCRIPTA 2024年第1期99卷 015206-015206页

作者： Godonou, Daniel Maoussi Sriram, Balakrishnan Ngongiah, Isidore Komofor Ainamon, Cyrille Rajagopal, Karthikeyan Univ Abomey Calavi Inst Math & Sci Phys BP 613 Porto Novo Benin Chennai Inst Technol Ctr Computat Modelling Chennai 600069 India Univ Bamenda Fac Sci Dept Phys POB 39 Bamenda Cameroon Chennai Inst Technol Ctr Nonlinear Syst Chennai 600069 Tamil Nadu India

This paper explores the dynamics, microcontroller realization, chaotic, and coexisting attractors controls in the Josephson junction (JJ) spurred by the Wien bridge oscillator (WBO). The JJ spurred by WBO (JJSWBO) is designed by coupling through a gain a resistive-capacitive shunted JJ (RCSJJ) circuit to a WBO. The JJSWBO exhibits bistable periodic, monostable chaotic, and coexisting attractors as well as period-doubling bifurcation to chaos. A microcontroller implementation of JJSWBO is used to establish the dynamical behaviors spotted in JJSWBO during the numerical simulations. Moreover, two configured single controllers are engrossed to subdue the chaotic and coexisting behavior in JJSWBO. Lastly, thanks to the linear augmentation method, the coexisting attractors of JJSWBO are controlled to the desired trajectory.

关键词： wien bridge oscillator Josephson junction monostable chaotic attractor bistable periodic and coexisting attractors microcontroller implementation controls of chaos and coexisting attractors

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Pseudorandom number generator based on novel 2D Henon-Sine hyperchaotic map with microcontroller implementation

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NONLINEAR DYNAMICS 2023年第7期111卷 6773-6789页

作者： Murillo-Escobar, Daniel Angel Murillo-Escobar, Miguel Cruz-Hernandez, Cesar Arellano-Delgado, Adrian Martha Lopez-Gutierrez, Rosa Autonomous Univ Baja California UABC Engn Architecture & Design Fac Ensenada Baja California Mexico CONACYT UABC Autonomous Univ Baja California UABC Engn Architecture & Design Fac Ensenada Baja California Mexico Sci Res & Adv Studies Ctr Ensenada CICESE Elect & Telecommun Dept Ensenada Baja California Mexico

Recently, chaotic maps have been considered to design pseudorandom number generator (PRNG). However, some chaotic maps present security disadvantages, such as low uniformity and low randomness properties. Nowadays, chaos-based PRNGs are used as the main source for the development of cryptographic algorithms. In this work, to overcome such weaknesses, a novel 2D hyperchaotic map is proposed based on discrete-time feedback by using Henon map and Sine map. In addition, the dynamics of the hyperchaotic map are enhanced by using the remainder after division function (rem), where better random statistical properties are obtained. A comparison is made between the enhanced Henon-Sine hyperchaotic map (EHSHM) and the Henon-Sine hyperchaotic map through Lyapunov exponent analysis, attractor trajectory, histograms and sensitivity at initialization. Then, 8-bit pseudorandom number generator based on the proposed hyperchaotic map (PRNG-EHSHM) is designed and the initial seed of the PRNG is calculated by a secret key of 60 hexadecimal characters. It is implemented in both MATLAB and Arduino Mega microcontroller for experimental results. A complete security analysis is presented from a cryptographic point of view, such as key space, floating frequency, histograms and entropy of the information. Moreover, the randomness is verified with the tests of the National Institute of Standards and Technology (NIST 800-22). Based on the security results obtained, the proposed PRNG-EHSHM can be implemented in embedded cryptographic applications based on chaos.

关键词： Chaos Pseudorandom number generator 2D Henon-Sine hyperchaotic map microcontroller implementation Security analysis

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Analytical studies on third-order chaotic systems with Sprott type nonlinearities and their microcontroller implementation

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PHYSICA SCRIPTA 2024年第4期99卷 045246-045246页

作者： Sivaganesh, G. Srinivasan, K. Fozin Fonzin, T. Kuate, P. D. Kamdem Raja Mohamed, I Alagappa Chettiar Govt Coll Engn & Technol Dept Phys Karaikkudi 630003 Tamil Nadu India Bharathidasan Uni\v Dept Phys Bharathidasan University 621 007 Tiruchirapalli 620024 Tamil Nadu India Univ Buea Fac Engn & Technol FET Dept Elect & Elect Engn POB 63 Buea Cameroon Univ Bamenda Higher Tech Teacher Training Coll Dept Elect & Power Engn POB 39 Bamenda Cameroon BS Abdur Rahman Crescent Inst Sci & Technol Dept Phys Chennai 600048 India

The evolution of chaos in a generic third-order autonomous mathematical model with nonlinearities described by simple mathematical functions is reported in this paper. The nonlinearities termed as Sprott type nonlinear functions are used in the design of a class of third-order systems exhibiting chaotic behavior. The evolution and confirmation of chaos in their system dynamics is observed through numerical simulation studies of one-parameter bifurcation diagrams and Lyapunov exponents. Analytical solutions are developed for systems with piecewise-linear nonlinear functions. Finally, the microcontroller implementation of the third-order system equations with different nonlinearities and analog circuit simulation results are presented to confirm the numerical and analytical results. Chaos in generic third-order systems studied through numerical, analytical and microcontroller results has been reported in the literature for the first time.

关键词： simple nonlinearities bifurcation chaos microcontroller implementation

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Coexisting Attractors in Neuronal Circuit Based on Josephson Junction Under the Effects of Light and Temperature: Analysis and microcontroller implementation

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IRANIAN JOURNAL OF SCIENCE 2024年第2期48卷 487-496页

作者： Ramakrishnan, Balamurali Foka, Noel Freddy Fotie Akgul, Akif Kuetche, Victor Kamgang Rajagopal, Karthikeyan Chennai Inst Technol Ctr Nonlinear Syst Chennai 600069 Tamilnadu India Univ Yaounde I Fac Sci Dept Phys POB 812 Yaounde Cameroon Hitit Univ Fac Engn Dept Comp Engn TR-19030 Corum Turkiye Univ Yaounde I Natl Adv Sch Engn POB 8390 Yaounde Cameroon

The investigation in this paper is founded on the theoretical study of a neuronal circuit driven by a Josephson junction (JJ) under the effects of light and temperature, and its microcontroller design. The neuronal circuit is made of a resistor in series to a phototube (PT) to which an excitation which is a direct current (DC) source, a thermistor, and a capacitor is linked to this formalism via the parallel connection. The system describing the neuronal circuit has 2 or no equilibrium points with a direct consequence on the excitation current and constant voltage of PT. Stability explorations reveal a stable node or focus and a saddle-node for the reported two equilibrium points. The hysteresis loops' appearances are dependent on the temperature, damping parameter, and constant voltage across the PT. Continuous spiking oscillations, periodic and periodic bursting oscillations, chaotic and coexisting attractors as a function of the temperature, and modulation parameters of a sinusoidal voltage of PT are characterized via numerical simulations. Quantitatively, the theoretical results are similar to the experimental results achieved via the microcontroller implementation of the model of the neuronal circuit founded on the JJ under the effects of light and temperature.

关键词： Neuronal circuit Josephson junction Thermistor and photocurrent Continuous spiking and bursting oscillations Chaotic and coexisting attractors microcontroller implementation

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Observers for rectangular descriptor systems with output nonlinearities: application to secure communications and microcontroller implementation

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INTERNATIONAL JOURNAL OF DYNAMICS AND CONTROL 2021年第2期9卷 530-540页

作者： Moysis, Lazaros Giakoumis, Aggelos Gupta, Mahendra Kumar Volos, Christos Mishra, Vikas K. Pham, Viet-Thanh Aristotle Univ Thessaloniki Phys Dept Lab Nonlinear Syst Circuits & Complex Thessaloniki Greece Int Hellen Univ Dept Informat & Elect Engn Thessaloniki Greece Natl Inst Technol Jamshedpur Dept Math Jamshedpur Jharkhand India Vrije Univ Brussel VUB Dept ELEC Brussels Belgium Phenikaa Univ Phenikaa Inst Adv Study PIAS Fac Elect & Elect Engn Ha Dong Dist Hanoi 100000 Vietnam

This work considers full and reduced-order observer design for rectangular descriptor systems with application to secure communications. The output of the system is assumed to have a nonlinear term coupled with the linear part, a case that is often overlooked in the literature. The observer design is feasible under some algebraic conditions and the feasibility of a linear matrix inequality. The results are showcased through the application of secure communications, for the safe transmission and estimation of an information signal and also an encrypted image. Also, a microcontroller implementation of the master system is performed, which is the first step towards a full realisation of the design.

关键词： Chaos synchronization Observer design Descriptor systems Secure communications microcontroller implementation LMI

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A Low Cost microcontroller implementation of Neural Network Based Hurdle Avoidance Controller for a Car-Like Robot

A Low Cost Microcontroller Implementation of Neural Network ...

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2nd International Conference on Computer and Automation Engineering (ICCAE)

作者： Farooq, Umar Amar, Muhammad Hasan, K. M. Akhtar, M. Khalil Asad, Muhammad Usman Iqbal, Asim Univ Punjab Dept Elect Engn Lahore 54590 Pakistan UET Dept Elect Engn Lahore 54890 Pakistan

ISBN: (纸本)9781424455690

This paper describes the implementation of a neural network based hurdle avoidance controller for a car like robot using a low cost single chip 89C52 microcontroller. The neural network is the multilayer feed-forward network with back propagation training algorithm. The network is trained offline with tangent-sigmoid as activation function for neurons and is implemented in real time with piecewise linear approximation of tangent-sigmoid function. Results have shown that up-to twenty neurons in hidden layer can be deployed with the proposed technique using a single 89C52 microcontroller. The vehicle is tested in various environments containing obstacles and is found to avoid obstacles in its path successfully.

关键词： neural network tangent sigmoid approximation car like robot hurdle avoidance microcontroller implementation

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

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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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