Secure transmission of medical image using a wavelet interval type-2 TSK fuzzy brain-imitated neural network

Authors: Duc-Hung Pham, Chih‐Min Lin, Van Nam Giap, Van‐Phong Vu

Source: Soft Computing. 29:2311-2329

Subject Terms: Artificial neural network, Artificial intelligence, Interval (graph theory), Chaotic, Control (management), Adaptive neuro fuzzy inference system, Artificial Intelligence, Control theory (sociology), FOS: Mathematics, Chaos-based Image Encryption Techniques, 4. Education, Chaos Synchronization and Control in Complex Systems, Statistical and Nonlinear Physics, Neural Network Fundamentals and Applications, Computer science, Information Embedding, Fuzzy logic, Algorithm, Physics and Astronomy, Fuzzy control system, Combinatorics, Computer Science, Physical Sciences, Computer Vision and Pattern Recognition, Wavelet, Mathematics

Enhanced general conformable controller based on Lyapunov technique for DC-DC static converters: Application to a solar system

Authors: Omar Kahouli, Mourad Elloumi, Omar Naifar, Abdellatif Ben Makhlouf, Yassine Bouteraa, Sarra Elgharbi

Source: AIMS Mathematics, Vol 9, Iss 5, Pp 10698-10716 (2024)

Subject Terms: Artificial intelligence, 0209 industrial biotechnology, Robust Stability, lyapunov technique, Control (management), Conformable matrix, 02 engineering and technology, DC motor, Quantum mechanics, 7. Clean energy, Discrete-Time Control Systems, Engineering, QA1-939, FOS: Mathematics, Control theory (sociology), 0202 electrical engineering, electronic engineering, information engineering, dc-dc static converters, Controller Tuning, Control system, Biology, Anomalous Diffusion Modeling and Analysis, Photovoltaic system, Analysis and Design of Fractional Order Control Systems, Lyapunov function, modelling and control, Electronic engineering, Control engineering, Physics, Controller (irrigation), Chaos Synchronization and Control in Complex Systems, Statistical and Nonlinear Physics, Complex Systems, Voltage, Converters, Computer science, Agronomy, Physics and Astronomy, Control and Systems Engineering, Modeling and Simulation, Electrical engineering, Physical Sciences, Nonlinear system, general conformable systems, Adaptive Synchronization, Mathematics

Access URL: https://doaj.org/article/64eb4d2a720c40d8907be2425b060d6c

Embedded adaptive fractional-order sliding mode control based on TSK fuzzy system for nonlinear fractional-order systems

Authors: Esraa Mostafa, Osama Elshazly, Mohammad El-Bardini, Ahmad M. El-Nagar

Source: Soft Computing. 27:15463-15477

Subject Terms: 0209 industrial biotechnology, Artificial intelligence, Sliding mode control, Fractional Order Control, Control (management), 02 engineering and technology, Fractional Order Systems, Noise (video), Quantum mechanics, Control Systems and Network Applications, Engineering, Fuzzy Logic, 0202 electrical engineering, electronic engineering, information engineering, Control theory (sociology), FOS: Mathematics, Image (mathematics), Controller Tuning, Control system, Biology, Analysis and Design of Fractional Order Control Systems, Physics, 4. Education, Controller (irrigation), Chaos Synchronization and Control in Complex Systems, Statistical and Nonlinear Physics, Computer science, Agronomy, Fuzzy logic, Physics and Astronomy, Fuzzy control system, Control and Systems Engineering, Electrical engineering, Physical Sciences, Lyapunov stability, Nonlinear system, Adaptive Synchronization, Mathematics

Complex Dynamics and Chaos Control of a Discrete-Time Predator-Prey Model

Authors: Rizwan Ahmed, Muhammad Rafaqat, Imran Siddique, Mohammad Asif Arefin

Source: Discrete Dynamics in Nature and Society, Vol 2023 (2023)

Subject Terms: Artificial intelligence, Geometry, Control (management), 01 natural sciences, Mathematical analysis, Quantum mechanics, Biochemistry, Genetics and Molecular Biology, 0103 physical sciences, Health Sciences, Machine learning, QA1-939, Genetics, FOS: Mathematics, Control theory (sociology), 0101 mathematics, Stability (learning theory), Evolutionary Dynamics of Genetic Adaptation and Mutation, Physics, Statistics, Public Health, Environmental and Occupational Health, Chaos Synchronization and Control in Complex Systems, Life Sciences, Statistical and Nonlinear Physics, Complex Systems, Applied mathematics, Computer science, Programming language, Physics and Astronomy, Piecewise, Disease Transmission and Population Dynamics, FOS: Biological sciences, Discrete time and continuous time, Physical Sciences, Nonlinear system, Medicine, Bifurcation, Predator-Prey Interactions, Mathematics, Consistency (knowledge bases), Discretization, Constant (computer programming)

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Access URL: https://doaj.org/article/f442cc3d344a4242bffd2b49e6158860

On a New Three-Dimensional Chaotic System with Adaptive Control and Chaos Synchronization

Authors: Nasser A. Saeed, Hosam M. Saleh, W. A. El-Ganaini, M. Kamel, Mohamed S. Mohamed

Source: Shock and Vibration, Vol 2023 (2023)

Subject Terms: Artificial intelligence, Computer Networks and Communications, Chaotic, QC1-999, Encryption, Control (management), 01 natural sciences, Quantum mechanics, Dynamics of Synchronization in Complex Networks, Computer security, 0103 physical sciences, Synchronization (alternating current), Control theory (sociology), FOS: Mathematics, CHAOS (operating system), Synchronization of chaos, Topology (electrical circuits), Physics, Chaos Synchronization and Control in Complex Systems, Statistical and Nonlinear Physics, Noise-induced Dynamics, Computer science, Operating system, Physics and Astronomy, Nonlinear Dynamics, Combinatorics, Stochastic Resonance in Nonlinear Systems, Physical Sciences, Computer Science, Nonlinear system, Chaos, Adaptive Synchronization, Lyapunov exponent, Mathematics, Control of chaos

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Access URL: https://doaj.org/article/e0fb384f3f8c4f7e9901cf405f40a64e

Analysis of Monkeypox viral infection with human to animal transmission via a fractional and Fractal-fractional operators with power law kernel

Authors: A. Al‐Zubaidi, Hakeem A. Othman, Saif Ullah, Nisar Ahmad, Mohammad Mahtab Alam

Source: Mathematical Biosciences and Engineering, Vol 20, Iss 4, Pp 6666-6690 (2023)

Subject Terms: FOS: Political science, numerical results, Gene, 01 natural sciences, Power law, Vaccinia, Monkeypox virus, Political science, Statistics, 3. Good health, Fractals, Modeling and Simulation, Disease Transmission and Population Dynamics, Physical Sciences, Telecommunications, Medicine, Public Health, Fractal, existence and uniqueness, Biotechnology, FOS: Law, Mathematical analysis, monkeypox mathematical model, Virology, Health Sciences, 0103 physical sciences, QA1-939, FOS: Mathematics, Genetics, Animals, Humans, Computer Simulation, Biology, Anomalous Diffusion Modeling and Analysis, Recombinant DNA, Public Health, Environmental and Occupational Health, Chaos Synchronization and Control in Complex Systems, Pure mathematics, Statistical and Nonlinear Physics, Monkeypox, Transmission (telecommunications), Computer science, fractal-fractional caputo operator, Mpox, Monkeypox, Physics and Astronomy, FOS: Biological sciences, Kernel (algebra), Fractional Calculus, Law, TP248.13-248.65, Mathematics

Access URL: https://pubmed.ncbi.nlm.nih.gov/37161123
https://doaj.org/article/207cb6ec8e444d6c9be718658e6694bb

Control and adaptive modified function projective synchronization of different hyperchaotic dynamical systems

Authors: M. M. El‐Dessoky, N. A. Almohammadi, Ebraheem Alzahrani

Source: AIMS Mathematics, Vol 8, Iss 10, Pp 23621-23634 (2023)

Subject Terms: Artificial intelligence, Computer Networks and Communications, Geometry, Control (management), Evolutionary biology, Synchronization, adaptive control, Quantum mechanics, Scaling, chen hyperchaotic, liu hyperchaotic, Dynamics of Synchronization in Complex Networks, Control, Synchronization (alternating current), QA1-939, Control theory (sociology), FOS: Mathematics, Biology, modified function projective synchronization, Topology (electrical circuits), Lyapunov function, error dynamical system, Physics, 4. Education, Controller (irrigation), Chaos Synchronization and Control in Complex Systems, Adaptive control, Statistical and Nonlinear Physics, Computer science, Agronomy, Physics and Astronomy, Function (biology), Combinatorics, Physical Sciences, Computer Science, Nonlinear system, Characterization of Chaotic Quantum Dynamics and Structures, Adaptive Synchronization, Mathematics

Access URL: https://doaj.org/article/de9a65aee13244d2a11d33b84ffd287f

Numerical study of a nonlinear fractional chaotic Chua's circuit

Authors: Nehad Ali Shah, Iftikhar Ahmed, Kanayo Kenneth Asogwa, Azhar Ali Zafar, Wajaree Weera, Ali Akgül

Source: AIMS Mathematics, Vol 8, Iss 1, Pp 1636-1655 (2023)

Subject Terms: Artificial intelligence, Chaotic, chaos, Caputo and Caputo-Fabrizio fractional derivatives, caputo and caputo-fabrizio fractional derivatives, Generalization, nonlinear chaotic systems, Control (management), Fractional Order Systems, 02 engineering and technology, Mathematical analysis, Quantum mechanics, 01 natural sciences, 0103 physical sciences, QA1-939, FOS: Mathematics, Control theory (sociology), 0202 electrical engineering, electronic engineering, information engineering, Anomalous Diffusion Modeling and Analysis, Mathematical Physics, Chua's circuit, Physics, Chaos Synchronization and Control in Complex Systems, Fractional calculus, Chaotic systems, Statistical and Nonlinear Physics, Applied mathematics, Computer science, chaotic generalized circuit, 3. Good health, Fractional Derivatives, Physics and Astronomy, Nonlinear Dynamics, Modeling and Simulation, Physical Sciences, Dynamical Systems and Chaos Theory, Nonlinear system, Chaos, Thermodynamics, Fractional Calculus, Differential (mechanical device), Mathematics

Access URL: https://doaj.org/article/c9844e07010c406e9756322d136f68a2
https://hdl.handle.net/20.500.12604/8400

Designing Meyer wavelet neural networks for the three-species food chain model

Authors: T. Mouktonglang, Zulqurnain Sabir, Muhammad Asif Zahoor Raja, Saira Bhatti, Thongchai Botmart, Wajaree Weera, Chantapish Zamart

Source: AIMS Mathematics, Vol 8, Iss 1, Pp 61-75 (2023)

Subject Terms: Artificial neural network, Artificial intelligence, statistical soundings, Evolutionary biology, Fractional Order Systems, 02 engineering and technology, Operator (biology), Gene, Biochemistry, 01 natural sciences, 7. Clean energy, Health Sciences, 0103 physical sciences, QA1-939, FOS: Mathematics, 0202 electrical engineering, electronic engineering, information engineering, 14. Life underwater, Biology, Anomalous Diffusion Modeling and Analysis, Local search (optimization), particle swarm optimization, Particle swarm optimization, Mathematical optimization, Public Health, Environmental and Occupational Health, Chaos Synchronization and Control in Complex Systems, adam scheme, Statistical and Nonlinear Physics, Applied mathematics, Computer science, food chain system, Algorithm, meyer wavelet neural networks, Chemistry, Physics and Astronomy, Solver, Function (biology), Modeling and Simulation, Disease Transmission and Population Dynamics, Physical Sciences, Repressor, Medicine, Global optimization, Differential evolution, Transcription factor, Wavelet, sequential quadratic programming, Mathematics

Access URL: https://doaj.org/article/8c807a97ee95445c987162485f96dbc7

Two-dimensional discrete-time laser model with chaos and bifurcations

Authors: Abdul Qadeer Khan, M. B. Almatrafi

Source: AIMS Mathematics, Vol 8, Iss 3, Pp 6804-6828 (2023)

Subject Terms: laser model, Computer Networks and Communications, Hausdorff dimension, Mathematical analysis, Quantum mechanics, 01 natural sciences, numerical simulations, Dynamics of Synchronization in Complex Networks, QA1-939, FOS: Mathematics, 0101 mathematics, Physics, Chaos Synchronization and Control in Complex Systems, Statistical and Nonlinear Physics, Fixed point, Invariant (physics), Physics and Astronomy, Nonlinear Dynamics, Combinatorics, Stochastic Resonance in Nonlinear Systems, Mathematical physics, bifurcation, Computer Science, Physical Sciences, Nonlinear system, Bifurcation, chaos control, Lyapunov exponent, Mathematics

Access URL: https://doaj.org/article/05662f4d374d42e995c5bc9030cb0ef9

Short-memory discrete fractional difference equation wind turbine model and its inferential control of a chaotic permanent magnet synchronous transformer in time-scale analysis

Authors: Abdulaziz Khalid Alsharidi, Saima Rashid, S. K. Elagan

Source: AIMS Mathematics, Vol 8, Iss 8, Pp 19097-19120 (2023)

Subject Terms: Artificial intelligence, permanent magnet synchronous generator, Chaotic, chaotic system, Control (management), Fractional Order Systems, Mechanics, Quantum mechanics, 7. Clean energy, Permanent magnet synchronous generator, Magnet, Aerodynamics, Engineering, QA1-939, FOS: Mathematics, Control theory (sociology), lyapunov function, Anomalous Diffusion Modeling and Analysis, Lyapunov function, time-scale analysis, Discontinuous Systems, Bifurcations in Planar Polynomial Systems, Physics, short-memory, Chaos Synchronization and Control in Complex Systems, Fractional calculus, Statistical and Nonlinear Physics, Applied mathematics, Computer science, Fractional Derivatives, Aerospace engineering, Physics and Astronomy, Modeling and Simulation, Variable speed wind turbine, Electrical engineering, equilibrium points, Physical Sciences, Nonlinear system, Fractional Calculus, Geometry and Topology, Wind power, Mathematics, Lyapunov exponent, Turbine

Access URL: https://doaj.org/article/3356517caf164433919c6e5e22bd2fd9

On the construction of stable periodic solutions for the dynamical motion of AC machines

Authors: Mohamed El-Borhamy, Essam M. Rashad, A. A. Nasef, Ismail Sobhy, Samah M. Elkholy

Source: AIMS Mathematics, Vol 8, Iss 4, Pp 8902-8927 (2023)

Subject Terms: stability theory, Artificial intelligence, Geometry, periodic solutions, Control (management), Evolutionary biology, Mathematical analysis, Quantum mechanics, 01 natural sciences, linear differential equations, Differential equation, Point (geometry), Machine learning, 0103 physical sciences, QA1-939, FOS: Mathematics, RLC circuit, Control theory (sociology), Classical mechanics, Stability (learning theory), Inductance, Biology, Anomalous Diffusion Modeling and Analysis, Lyapunov function, Motion (physics), Physics, Chaos Synchronization and Control in Complex Systems, Statistical and Nonlinear Physics, Voltage, Capacitor, Computer science, perturbation techniques, Periodic function, Physics and Astronomy, Nonlinear Dynamics, Function (biology), Modeling and Simulation, Stochastic Resonance in Nonlinear Systems, Physical Sciences, Nonlinear system, Dynamical systems theory, Thermodynamics, Differential (mechanical device), Mathematics

Access URL: https://doaj.org/article/885d398654de47f096bd9cb8ffd336d0

Synchronization characteristics of two vibrators in a novel hydraulic coupling system

Authors: Jiong Li, Yu Wang, Lingrong Kong

Source: Alexandria Engineering Journal, Vol 61, Iss 12, Pp 11663-11676 (2022)

Subject Terms: Artificial intelligence, Computer Networks and Communications, FOS: Political science, Deviation rate, FOS: Mechanical engineering, Control (management), FOS: Law, 02 engineering and technology, Synchronization, Quantum mechanics, 01 natural sciences, 7. Clean energy, 0201 civil engineering, Hammer, Engineering, Dynamics of Synchronization in Complex Networks, Hydraulic coupling, Synchronization (alternating current), Machine learning, 0103 physical sciences, 11. Sustainability, Coupling (piping), Control theory (sociology), Eccentricity (behavior), Stability (learning theory), Political science, Topology (electrical circuits), Physics, Chaos Synchronization and Control in Complex Systems, Statistical and Nonlinear Physics, Acoustics, Power (physics), Engineering (General). Civil engineering (General), Vibrator (electronic), Computer science, Mechanical engineering, 6. Clean water, Vibrator, Physics and Astronomy, Stochastic Resonance in Nonlinear Systems, Electrical engineering, Computer Science, Physical Sciences, TA1-2040, Adaptive Synchronization, Law

Access URL: https://doaj.org/article/d16885be78974d718705ac9d1bdd5a29

Analytical Solution to the Generalized Complex Duffing Equation

Authors: Alvaro H. Salas, Gilder Cieza Altamirano, Lorenzo J. Martínez H

Source: ScientificWorldJournal
The Scientific World Journal, Vol 2022 (2022)

Subject Terms: Technology, Artificial intelligence, Complex system, Science, 02 engineering and technology, Quantum mechanics, 01 natural sciences, Duffing equation, 0103 physical sciences, FOS: Mathematics, Anomalous Diffusion Modeling and Analysis, Numerical Analysis, Numerical Optimization Techniques, Physics, Chaos Synchronization and Control in Complex Systems, Statistical and Nonlinear Physics, Complex Systems, Applied mathematics, Computer science, Physics and Astronomy, Modeling and Simulation, Physical Sciences, Derivative-Free Optimization, Nonlinear system, Medicine, Dynamical systems theory, 0210 nano-technology, Mathematics, Research Article

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Access URL: https://pubmed.ncbi.nlm.nih.gov/36479552
https://doaj.org/article/45c9d284836b4ebe8f7b3ad79a2cd618

A comprehensive study of the novel 4D hyperchaotic system with self-exited multistability and application in the voice encryption

Authors: Khaled Benkouider, Aceng Sambas, Talal Bonny, Wafaa Al Nassan, Issam A. R. Moghrabi, Ibrahim Mohammed Sulaiman, Basim A. Hassan, Mustafa Mamat

Source: Sci Rep
Scientific Reports, Vol 14, Iss 1, Pp 1-14 (2024)

Subject Terms: Artificial intelligence, Chaotic, Science, Encryption, Control (management), 02 engineering and technology, Boosting (machine learning), Quantum mechanics, Mathematical analysis, Article, FOS: Mathematics, Control theory (sociology), 0202 electrical engineering, electronic engineering, information engineering, Electronic circuit and voice encryption, Mathematical Physics, Chaos-based Image Encryption Techniques, Physics, Statistics, Chaos Synchronization and Control in Complex Systems, Attractor, Statistical and Nonlinear Physics, Multistability, Computer science, Dynamical Systems, Algorithm, Operating system, Physics and Astronomy, Computer Science, Physical Sciences, Dynamical Systems and Chaos Theory, Cryptography, Nonlinear system, Chaos, Medicine, Bifurcation, Computer Vision and Pattern Recognition, Hyperchaos, Mathematics, Lyapunov exponent, Randomness

Access URL: https://pubmed.ncbi.nlm.nih.gov/38844598
https://doaj.org/article/b00652eb0fbb433881df1018be0e5277

Designing robust trajectories by lobe dynamics in low-dimensional Hamiltonian systems

Authors: Naoki Hiraiwa, Mai Bando, Isaia Nisoli, Yuzuru Sato

Source: Physical Review Research. 6

Subject Terms: Hamiltonian Dynamics, FOS: Physical sciences, Physics - Classical Physics, Dynamical Systems (math.DS), 01 natural sciences, Engineering, 0103 physical sciences, FOS: Mathematics, Modeling and Control of Port-Hamiltonian Systems, Classical mechanics, Mathematics - Dynamical Systems, Mathematics - Optimization and Control, Instrumentation and Methods for Astrophysics (astro-ph.IM), Physics, Chaos Synchronization and Control in Complex Systems, Classical Physics (physics.class-ph), Statistical and Nonlinear Physics, Acoustics, Nonlinear Sciences - Chaotic Dynamics, Computer science, Dynamical Systems, Hamiltonian Systems, Physics and Astronomy, Nonlinear Dynamics, Control and Systems Engineering, Optimization and Control (math.OC), 13. Climate action, Physical Sciences, Characterization of Chaotic Quantum Dynamics and Structures, Hamiltonian system, Statistical physics, Chaotic Dynamics (nlin.CD), Astrophysics - Instrumentation and Methods for Astrophysics, Nonlinear Systems, Dynamics (music)

Access URL: http://arxiv.org/abs/2404.00721

Enhancing the trustworthiness of chaos and synchronization of chaotic satellite model: a practice of discrete fractional-order approaches

Authors: Saima Rashid, Sher Zaman Hamidi, Saima Akram, Moataz Alosaimi, Yu‐Ming Chu

Source: Sci Rep
Scientific Reports, Vol 14, Iss 1, Pp 1-22 (2024)

Subject Terms: Artificial intelligence, Chaotic Maps, Chaotic, Economics, Science, Astronomy, Fractional Order Systems, Synchronization, 01 natural sciences, Article, Computer security, Synchronization (alternating current), 0103 physical sciences, CHAOS (operating system), Fractional difference equation, Order (exchange), Trustworthiness, Computer network, Chaos-based Image Encryption Techniques, Physics, Fractional calculus, Chaos Synchronization and Control in Complex Systems, Statistical and Nonlinear Physics, Computer science, Dynamical Systems, Sample entropy, Chaotic attractors, Physics and Astronomy, Satellite, Channel (broadcasting), Physical Sciences, Computer Science, Medicine, Bifurcation, Characterization of Chaotic Quantum Dynamics and Structures, Computer Vision and Pattern Recognition, Satellite model, Adaptive Synchronization, Finance

Access URL: https://pubmed.ncbi.nlm.nih.gov/38724584
https://doaj.org/article/bfdf9b7b928348d3a05adca2f5a469b3

Enhancing chaos in multistability regions of Duffing map for an image encryption algorithm

Authors: Hayder Natiq, Animesh Roy, Santo Banerjee, A. P. Misra, N. A. A. Fataf

Source: Soft Computing. 27:19025-19043

Subject Terms: Image Encryption, Artificial intelligence, Chaotic Maps, Chaotic, Encryption, Geometry, Mathematical analysis, Quantum mechanics, Sine, Duffing equation, Theoretical computer science, Computer security, FOS: Mathematics, Image (mathematics), CHAOS (operating system), Mathematical Physics, Chaos-based Image Encryption Techniques, Physics, Chaos Synchronization and Control in Complex Systems, Attractor, Statistical and Nonlinear Physics, Multistability, Computer science, Algorithm, Color Image Encryption, Physics and Astronomy, Computer Science, Physical Sciences, Dynamical Systems and Chaos Theory, Cryptography, Nonlinear system, Computer Vision and Pattern Recognition, Mathematics

Fractional order model for complex Layla and Majnun love story with chaotic behaviour

Authors: Muhammad Farman, Ali Akgül, Saud Fahad Aldosary, Kottakkaran Sooppy Nisar, Aqeel Ahmad

Source: Alexandria Engineering Journal, Vol 61, Iss 9, Pp 6725-6738 (2022)

Subject Terms: Relation (database), Artificial intelligence, Chaotic, Economics, Fractional Order Systems, Operator (biology), Mathematical analysis, Biochemistry, Quantum mechanics, Gene, 01 natural sciences, Database, Machine learning, 0103 physical sciences, FOS: Mathematics, Stability (learning theory), Anomalous Diffusion Modeling and Analysis, Order (exchange), Scheme (mathematics), Physics, Chaos Synchronization and Control in Complex Systems, Statistical and Nonlinear Physics, Layla-Majnun, Engineering (General). Civil engineering (General), Dynamical system (definition), Applied mathematics, Computer science, Chaotic behavior, Chemistry, Physics and Astronomy, Modeling and Simulation, Physical Sciences, Repressor, Dynamical systems theory, Uniqueness, Statistical physics, TA1-2040, Transcription factor, Fractal, Stability, Mathematics, Finance, Fractional Operator, Rogue Waves in Nonlinear Systems

Access URL: https://doaj.org/article/a8b4ce409ac743478e03496704efedb5
https://hdl.handle.net/20.500.12604/6310

Novel image cryptosystem based on new 2D hyperchaotic map and dynamical chaotic S-box

Authors: Shuang Zhou, Yinsheng Qiu, Xingyuan Wang, Yingqian Zhang

Source: Nonlinear Dynamics. 111:9571-9589

Subject Terms: Image Encryption, Artificial intelligence, Chaotic Maps, Chaotic, Encryption, 01 natural sciences, Bitwise operation, Theoretical computer science, 0103 physical sciences, FOS: Mathematics, Image (mathematics), Cipher, Cryptosystem, Chaos-based Image Encryption Techniques, Digital Image Watermarking Techniques, Chaos Synchronization and Control in Complex Systems, Statistical and Nonlinear Physics, Plaintext, Computer science, Scrambling, Programming language, Algorithm, Operating system, Color Image Encryption, Physics and Astronomy, Image Authentication, Computer Science, Physical Sciences, Optical Encryption, Cryptography, Computer Vision and Pattern Recognition, Pixel, Mathematics, Lyapunov exponent