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Article
Physics, Multidisciplinary
Abderrahmane Abbes et al.
Summary: This study proposes a novel fractional discrete-time macroeconomic system with incommensurate order and investigates its dynamical behavior analytically and numerically. The results show that the system exhibits chaotic behavior, which is verified through bifurcation diagrams, phase attractors, the maximum Lyapunov exponent, the 0-1 test, approximation entropy (ApEn), and C (0) complexity analyses. Finally, numerical simulations are used to present the main findings of this study.
Article
Physics, Multidisciplinary
Mohd Taib Shatnawi et al.
Summary: In this article, a new discrete non-equilibrium point memristor-based map with gamma - th Caputo fractional difference is introduced, and its nonlinear dynamics, including multistability, hidden chaotic attractor, and hidden hyperchaotic attractor, are investigated. Numerical techniques such as Lyapunov exponents, phase attractors, bifurcation diagrams, and the 0 - 1 test are used. The results show that the fractional discrete memristive map has a hidden multistability.
Article
Mathematics, Interdisciplinary Applications
Yuexi Peng et al.
Summary: In this paper, a discrete fractional-order memristor model based on Grunwald-Letnikov definition is derived, and two new chaotic maps are designed based on this fractional-order model. Dynamic behaviors are investigated using various methods, and simulation results show rich dynamic behaviors and hyperchaos in both fractional-order systems. Finally, the proposed systems are implemented and verified in FPGA digital circuit and analog circuit.
CHAOS SOLITONS & FRACTALS
(2023)
Article
Mathematics, Interdisciplinary Applications
Miao Wang et al.
Summary: This article investigates the dynamical analysis of the incommensurate fractional-order neural network and provides insights for simulating complex neural system states in pathological conditions. The Adomian decomposition method algorithm is used to solve the incommensurate fractional-order Hopfield neural network system. Different dynamical behaviors of the system are explored and discussed by varying the order values. The results show complex and interesting phenomena, providing a theoretical basis for the later study of incommensurate fractional-order neural network systems.
FRACTAL AND FRACTIONAL
(2023)
Article
Physics, Multidisciplinary
Amina Aicha Khennaoui et al.
Summary: In this work, we investigate a fractional memristive Lozi map by combining three research trends: discrete map, memristor, and fractional calculus. Using the Grunwald-Letnikov fractional difference operator, we introduce a new fractional map with no equilibrium point. We demonstrate the coexistence of several chaotic hidden attractors and multiple bifurcations depending on the initial conditions. The feasibility of the map is illustrated through hardware platform realization.
EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS
(2023)
Article
Mathematics, Interdisciplinary Applications
Hairong Lin et al.
Summary: In this paper, a simplified multi-piecewise memristor is used to design a family of memristive multibutterfly chaotic systems (MMBCSs). Three MMBCSs are constructed by coupling different numbers of the simplified multi-piecewise memristors into a modified Sprott C system. The constructed MMBCSs can generate connected and unconnected 1D, 2D, and 3D multibutterfly chaotic attractors, and the number and position of butterfly attractors can be easily controlled.
CHAOS SOLITONS & FRACTALS
(2023)
Article
Materials Science, Multidisciplinary
Maysaa Al-Qurashi et al.
Summary: This paper presents a novel discrete fractional adaptive Hindmarsh-Rose neuron model based on the Caputo fractional difference scheme. Various computational approaches, such as Lyapunov exponents, phase portraits, bifurcation illustrations, and the 0-1 evaluation emergence of synchronization, are used to investigate the complex structure of the proposed model, including its multistability, concealed chaos, and hyperchaotic attractor.
RESULTS IN PHYSICS
(2023)
Article
Mathematics, Interdisciplinary Applications
Rania Saadeh et al.
Summary: This paper presents a new fractional predator-prey discrete system of the Leslie type and investigates its nonlinear dynamics using various numerical techniques. The results demonstrate that the system exhibits rich and complex dynamical properties, which are influenced by commensurate and incommensurate orders. Furthermore, the complexity of the system is measured using the sample entropy test, validating the presence of chaos. Lastly, nonlinear controllers are employed to stabilize and synchronize the proposed model.
FRACTAL AND FRACTIONAL
(2023)
Article
Mathematics, Interdisciplinary Applications
Minglin Ma et al.
Summary: To enrich the dynamic behaviors of discrete neuron models and mimic biological neural networks more effectively, this paper proposes a bistable locally active discrete memristor (LADM) model to simulate synapses. By introducing the LADM into two identical Rulkov neurons, the dynamic behaviors of neural networks are explored. Numerical simulation shows that the neural network exhibits multistability and new firing behaviors under different system parameters and initial values. In addition, the synchronization between the neurons is also investigated.
FRACTAL AND FRACTIONAL
(2023)
Article
Physics, Multidisciplinary
Yan-Mei Lu et al.
Summary: This study constructed a new fractional-order discrete memristor model with significant nonlinearity for simulating the dynamical behaviors of neurons under electromagnetic radiation. The characteristics of integer-order and fractional-order systems were analyzed, showing that the fractional-order system has richer dynamics.
Article
Physics, Multidisciplinary
Abderrahmane Abbes et al.
Summary: This research presents a novel discrete-time fractional Hopfield neural network (DTHNN) with incommensurate order. Analytical and numerical analysis are used to investigate the dynamic behavior of the proposed network and study the stability of the zero equilibrium point as well as the presence of chaos.
EUROPEAN PHYSICAL JOURNAL PLUS
(2022)
Article
Physics, Multidisciplinary
Jingru Sun et al.
Summary: This paper proposes a high storage density and high reading/writing speed 3D crossbar array non-volatile memory based on pure memristors. By introducing an extensible memristive cluster, designing a memristive switch, and constructing a 3D crossbar array non-volatile memory, the conflict between storage density and sneak path current effect is solved, greatly improving the storage density and reading/writing speed.
EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS
(2022)
Article
Computer Science, Information Systems
Xingyuan Wang et al.
Summary: This paper proposes a new color quantum image encryption algorithm based on hyperchaotic system and quantum revolving gate. The algorithm ensures the security of images through diffusion and scrambling operations.
MULTIMEDIA TOOLS AND APPLICATIONS
(2022)
Article
Materials Science, Multidisciplinary
Abderrahmane Abbes et al.
Summary: This study generalizes the discrete integer-order SEIR model to a novel discrete fractional-order SEIR model of COVID-19 and explores its dynamic characteristics. The stability analysis and nonlinear behaviors of the suggested model for commensurate and incommensurate fractional orders are investigated with numerical techniques, and the model is fitted with actual data for verification.
RESULTS IN PHYSICS
(2022)
Article
Mathematics, Interdisciplinary Applications
Amer Dababneh et al.
Summary: This paper presents a novel fractional discrete-time COVID-19 model that includes the number of vaccinated individuals as an additional state variable in the system equations. Numerical simulations are carried out to show the effectiveness of the proposed incommensurate fractional-order model in describing the spread of the COVID-19 pandemic.
FRACTAL AND FRACTIONAL
(2022)
Article
Engineering, Electrical & Electronic
Han Bao et al.
Summary: This paper introduces a general DM model and unified mapping model, demonstrating the various representations and features of DM. The results show that the generated DM maps can produce high chaos sequences and pseudo-random numbers with high randomness.
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS
(2021)
Article
Automation & Control Systems
Han Bao et al.
Summary: This article introduces a simple 2-D sine map for generating complex chaotic sequences and boosting oscillating amplitudes by switching initial states. Experimental results demonstrate nondestructive control of chaotic sequences, making it suitable for various engineering applications.
IEEE TRANSACTIONS ON INDUSTRIAL INFORMATICS
(2021)
Article
Materials Science, Multidisciplinary
Yuexi Peng et al.
Summary: This paper investigates an interesting second-order memristor-based map model using Caputo fractional-order difference, and explores its dynamic behaviors through various analysis methods. The numerical simulations show that the fractional-order system exhibits a range of complex behaviors, laying a solid foundation for future analysis and engineering applications of discrete memristors.
RESULTS IN PHYSICS
(2021)
Article
Engineering, Electrical & Electronic
Bocheng Bao et al.
Summary: The study introduces a discrete memristor model and its application to discrete maps, achieving a memristive Logistic map by coupling it into the Logistic map. The dynamics and hyperchaotic attractors of the memristive Logistic map are analyzed, showing that the discrete memristor can effectively enhance chaos complexity in the Logistic map.
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS
(2021)
Article
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ELECTRONICS LETTERS
(2020)
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IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS
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INTERNATIONAL JOURNAL OF ADVANCED ROBOTIC SYSTEMS
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INTERNATIONAL JOURNAL OF FUZZY SYSTEMS
(2015)
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COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2014)
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Guo-Cheng Wu et al.
NONLINEAR DYNAMICS
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Thabet Abdeljawad
COMPUTERS & MATHEMATICS WITH APPLICATIONS
(2011)
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GA Gottwald et al.
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
(2004)
