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Article
Physics, Multidisciplinary
Zeric Tabekoueng Njitacke et al.
Summary: This study focuses on the collective behavior of two HR neurons and a network of HR neurons. By connecting a traditional 3D HR neuron and a memristive 2D HR neuron through a gap junction, the collective behavior of the coupled neurons is obtained. Numerical simulations reveal that the coupled neurons exhibit various behaviors, including periodic, quasi-periodic, and chaotic bursting or spiking, by adjusting the control parameter. The network topology affects the spatiotemporal patterns, with cluster states observed in non-homogenous ring and star structures.
Article
Physics, Multidisciplinary
Ying Xie et al.
Summary: In this paper, a reliable neural circuit is used to accurately analyze the changes in field energy and investigate the energy dependence on firing activities by manipulating the excitability and applied currents. The distinct energy function for the original HR neuron is obtained using Helmholtz theorem, and an equivalent two-variable HR model is proposed. Stochastic resonance is induced by applying additive noise, allowing for the examination of the intrinsic energy function and confirmation of energy shunting in the circuit.
Article
Mathematics, Applied
Yuncheng You
Summary: A new model of neural networks based on the memristive Hindmarsh-Rose equations is proposed. It is proven that exponential synchronization at a uniform convergence rate occurs when the coupling strengths satisfy the threshold conditions quantitatively expressed by the parameters, through sharp and uniform grouping estimates and by leverage of integral and interpolation inequalities tackling the linear network coupling against the memristive nonlinearity.
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
(2023)
Article
Mathematics, Applied
Ronghao Li et al.
Summary: This paper presents a three-dimensional autonomous memristive chaotic system with multiple coexisting attractors and explores the megastability phenomenon. Through calculating the average Hamiltonian energy and analyzing the energy transition, the occurrence mechanisms of megastability and extreme events are explained. The numerical results are validated through PSIM simulations and FPGA circuits.
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
Sathiyadevi Kanagaraj et al.
Summary: In this paper, the dynamical behavior of a flux coupled conductance-based neuron under external periodic stimulus is investigated. The transitions between periodic and chaotic attractors, as well as the antimonotonicity phenomenon, are examined through bifurcation analysis and Lyapunov exponents. The collective dynamical behaviors of the neuron network under the influence of propagation noise are also explored, revealing transitions from desynchronized to synchronized states in the presence of noise, and the potential aid of noise in synchronization even at weak coupling strength.
EUROPEAN PHYSICAL JOURNAL PLUS
(2022)
Article
Mathematics, Interdisciplinary Applications
Zeric Tabekoueng Njitacke et al.
CHAOS SOLITONS & FRACTALS
(2022)
Article
Physics, Condensed Matter
Karthikeyan Rajagopal et al.
Summary: In this paper, we explore the dynamical behavior of a resistive-capacitive-inductance (RLC) shunted Josephson Junction by replacing the direct current with alternating bias current. Our study reveals that the periodic bias current exhibits chaotic behavior, while the quasiperiodic bias current shows chaotic as well as strange nonchaotic attractors. We validate the coexistence of multiple attractors in the parameter space by varying the initial conditions. The existence of such strange nonchaotic attractors is confirmed using various techniques.
EUROPEAN PHYSICAL JOURNAL B
(2022)
Article
Computer Science, Information Systems
Sathiyadevi Kanagaraj et al.
Summary: This paper investigates the behavior of spiral waves in a fractional-order resistor-capacitor shunted Josephson junction chaotic oscillator, and observes the dynamics of periodic and chaotic attractors in relation to the fractional order. The existence of spiral waves under different system parameters is also studied. Furthermore, the impact of noise on spiral waves is analyzed.
Article
Mathematics, Interdisciplinary Applications
Kexin Li et al.
Summary: In this study, a discrete bi-neuron model is used to examine the effects of memory resistance on neuronal coupling, synchronization behavior, and dynamical behavior. The results demonstrate the coexistence of multiple firing patterns and provide evidence for the realization of synchronous control of coupled neurons.
CHAOS SOLITONS & FRACTALS
(2022)
Article
Engineering, Mechanical
Zhijun Li et al.
Summary: Local activity is considered as the origin of complexity, with locally active memristor proposed in this study exhibiting multiple firing patterns under different initial conditions. The study also investigates phase synchronization of synapse-coupled neurons. Circuit simulations are included to confirm the effectiveness of numerical simulations.
NONLINEAR DYNAMICS
(2021)
Article
Mathematics, Applied
D. Premraj et al.
Article
Mathematics, Applied
Ge Zhang et al.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2018)
Article
Computer Science, Artificial Intelligence
Yi Yang et al.
Article
Computer Science, Artificial Intelligence
Xudong Xie et al.
Article
Engineering, Mechanical
Shijian Cang et al.
NONLINEAR DYNAMICS
(2017)
Article
Mathematics, Interdisciplinary Applications
Shyan-Shiou Chen et al.
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
(2013)
Article
Multidisciplinary Sciences
Huaguang Gu
Article
Mathematics, Applied
Y. G. Zheng et al.
Article
Engineering, Electrical & Electronic
Bharathwaj Muthuswamy et al.
IETE TECHNICAL REVIEW
(2009)
Article
Physics, Multidisciplinary
YQ Wang et al.
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN
(2000)
