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Article
Engineering, Electrical & Electronic
Zeric Tabekoueng Njitacke et al.
Summary: In this study, a new configuration involving the coupling of a 2D Fitzhugh-Nagumo (FN) neuron with a 3D Hindmarsh-Rose (HR) neuron via a memristive synapse is investigated. The self-excited dynamics of the coupled neurons is revealed after analyzing the equilibria of the model. Resting activity, periodic spikes, periodic and chaotic bursts are found during the numerical investigation of the model. The coupled neurons display the rare phenomenon of homogeneous extreme multistability, where an infinite number of firing activities of the same nature but located at different levels in the phase space coexist. The selection of desired electrical activity dynamics is also emphasized through a noninvasive control scheme. An electronic circuit of the coupled neuron is designed and investigated to support the obtained results.
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS
(2023)
Article
Mathematics, Applied
Dong Yu et al.
Summary: This paper investigates the frequency selection and filtering properties of neurons in response to band-pass filtered signals. It is found that the filtering property of neurons depends on the locking relationship between the signal frequency and the neuronal natural frequency. Neurons respond better to low-frequency signals due to the reduction in the amplitude of harmonic components. Additionally, the filtering ability of neurons can be modulated by the excitation level.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2023)
Article
Physics, Multidisciplinary
C. N. Takembo et al.
Summary: This paper investigates the impact of electric field on the emergence and propagation of a nonlinear wave impulse in an improved neuronal network. The angular frequency of the modulated impulse wave along the network is obtained through the application of the multiple scale expansion method. The frequency is found to be dependent on the electric field feedback gain and the coupling strength of the network. The results confirm the formation of localized nonlinear wave patterns and show that electric feedback gain and high-frequency field promote the emergence of chaotic-like wave patterns, while high-intensity external electric field suppresses wave patterns completely. The sampled time series analysis reveals that high-intensity external field suppresses electrical activities by reducing the output to a quiescent state. Extensive numerical simulations also demonstrate burst synchronization in the network, recurrently manifesting as paroxysmal epilepsy.
INDIAN JOURNAL OF PHYSICS
(2023)
Article
Engineering, Mechanical
Guowei Wang et al.
Summary: This study investigates the influence of electromagnetic induction on chaotic resonance phenomenon in neuronal network motifs. The results show that electromagnetic induction can enhance the detection ability of neurons for weak signals, and there exists an optimal chaotic current intensity for achieving the best weak signal detection. Additionally, adjusting the parameters of electromagnetic induction can lead to more pronounced chaotic resonance phenomenon in certain network motifs compared to others.
NONLINEAR DYNAMICS
(2022)
Article
Mathematics, Applied
Zeric Njitacke Tabekoueng et al.
Summary: This contribution investigates the phenomenon of hidden heterogeneous extreme multistability in coupled neurons. The study reveals that the heterogeneous neuron system can exhibit coexistence of an infinite number of electrical activities involving both periodic and chaotic patterns. A noninvasive control method is applied to suppress the periodic coexisting activities, leaving only the desired chaotic one.
Article
Physics, Condensed Matter
Jules Tagne Fossi et al.
Summary: This article explores the transmission and encoding of information in the brain, aiming to improve biophysical functions and design reliable artificial synapses. By using a hybrid synapse and coupled neural circuits, the effect of external magnetic field on the neural circuit is evaluated. Through analysis of the parameters of the coupling channel, synchronization stability is demonstrated. The design and simulation of an electronic circuit confirm the theoretical results.
EUROPEAN PHYSICAL JOURNAL B
(2022)
Article
Automation & Control Systems
Kexin Li et al.
Summary: This article introduces a discrete memristive Rulkov (m-Rulkov) neuron model that can simulate magnetic induction effects and better characterize the actual firing activities in biological neurons.
IEEE TRANSACTIONS ON INDUSTRIAL INFORMATICS
(2022)
Article
Physics, Applied
Clovis Ntahkie Takembo
Summary: This paper analytically and numerically studies the modulational instability of membrane potential in an improved Izhikevich neural network under electromagnetic induction. The study reveals the impact of electromagnetic induction feedback through memristor couplings on the growth rate diagram and provides a potential way to manipulate information coding in the brain.
MODERN PHYSICS LETTERS B
(2022)
Article
Engineering, Mechanical
Tianyu Li et al.
Summary: Based on a modified Morris-Lecar neural model, this study investigates the synchronization mode transitions between two coupled neurons or a star-coupled neural network connected by weak electrical and chemical coupling. The results show that the coupling strength and ion conductivity play a significant role in the synchronization mode transitions.
NONLINEAR DYNAMICS
(2022)
Article
Engineering, Mechanical
Fuqiang Wu et al.
Summary: Dynamical modeling of nervous systems is crucial in various scientific fields. This study reproduces a chemical synaptic model using a memristive synapse and confirms that both chemical and memristive synapses can generate chaotic firing patterns in neurons. Additionally, a modular circuit is designed to construct large-scale neural networks. These findings provide new evidence for the application of memristive components and enhance our understanding of the biophysical function of chemical synapses from a physical viewpoint.
NONLINEAR DYNAMICS
(2022)
Article
Physics, Multidisciplinary
C. Ntahkie Takembo et al.
Summary: This study investigated the dynamics of localized modulated action potential induced through modulational instability in a diffusive array of coupled neurons under high-low frequency magnetic radiation. The research found that high memristive coupling stabilizes the growth rate of instability and affects the stable and unstable zones of modulational instability portrait. Numerical experiments confirmed the formation of localized modulated wave patterns with synchronization traits from the unstable zone.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
(2022)
Article
Physics, Multidisciplinary
Ying Xie et al.
Summary: This study investigates the impact of external stimuli on the firing mode selection of auditory neurons. The results show that external stimuli inducing spiking have higher energy, and periodic firing modes can induce nonlinear resonance. Neurons are more sensitive to external stimuli with higher energy and stronger regularity.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
(2022)
Article
Mathematics, Interdisciplinary Applications
Zeric Tabekoueng Njitacke et al.
Summary: This paper presents and studies the dynamics of a single neuron and a network of an improved FitzHugh-Nagumo model with memristive autapse. The investigation reveals hidden dynamics in the improved model, and the energy in the system is only affected by the strength of the memristive autapse. The study of the network with 500 neurons shows that it supports localized information patterns with synchronization as a means of information coding.
CHAOS SOLITONS & FRACTALS
(2022)
Article
Mathematics, Applied
Ying Xu et al.
Summary: This paper investigates the temperature-induced pattern formation and synchronization stability in a two-dimensional lattice network of thermosensitive neurons. Numerical simulations are used to study the effects of parameters and temperature spatial gradient distribution on pattern formation and synchronization stability. The results show that controlling electrical synapse coupling and temperature spatial gradient distribution can affect the neural activities in terms of pattern selection and collective dynamic behavior.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2022)
Article
Biophysics
Ying Xie et al.
Summary: Biological neurons are sensitive to external stimuli and can respond effectively through appropriate firing modes. A piezoelectric neural circuit can perceive external voice and vibration by generating piezoelectric voltage and trans-membrane current, inducing various firing modes. Signal identification and mode selection in neurons driven by multi-channel signals are affected by noise and electromagnetic radiation. Energy controls the firing patterns and mode selection in neurons, providing clues to control neural activities.
JOURNAL OF BIOLOGICAL PHYSICS
(2022)
Article
Mathematics, Applied
Sen Zhang et al.
Summary: This study presents a novel non-equilibrium Hindmarsh-Rose neuron model with memristive electromagnetic radiation effect. Through numerical simulations and hardware experiments, it is demonstrated that this model exhibits complex dynamics and high security, making it suitable for real-world applications.
Article
Mathematics, Interdisciplinary Applications
Zhao Yao et al.
Summary: The paper discusses the stability of energy pumping and phase synchronization in neural circuits through coupling, as well as the impact of different coupling methods on the intrinsic field energy of neurons.
CHAOS SOLITONS & FRACTALS
(2021)
Article
Mathematics, Interdisciplinary Applications
Lianghui Qu et al.
Summary: The study found that the random distribution of chemical autapses has a significant regulatory effect on the electrophysiological activities of neuronal networks, promoting the transmission of neural signals, inducing network-level stochastic resonance, and leading to a transition in network dynamics. Additionally, the random distribution of autapses can also induce phase synchronization phenomena in subthreshold or chaotic neuronal networks, eventually evolving into synchronous periodic discharge state.
CHAOS SOLITONS & FRACTALS
(2021)
Article
Engineering, Multidisciplinary
BoCheng Bao et al.
Summary: This paper discusses the use of memristors to mimic the electromagnetic induction effect caused by neuron potential. A flux-controlled memristor is considered to imitate the feedback synapse effect, and a memristive neuron model with adapting synapse is presented. The model is three-dimensional and non-autonomous with time-varying equilibria, resulting in multiple stabilities and the coexistence of multiple firing patterns. Hardware experiments show diverse coexisting firing patterns and confirm the accuracy of the numerical simulations.
SCIENCE CHINA-TECHNOLOGICAL SCIENCES
(2021)
Article
Multidisciplinary Sciences
Malik Muhammad Ibrahim et al.
Summary: This study investigates the synchronization problem in a network of coupled FitzHugh-Nagumo (FHN) neurons with time delays, different direction-dependent coupling, noise, and external disturbances. Adaptive control laws are proposed for both unidirectional and bidirectional neuronal networks to ensure synchronization, with necessary and sufficient conditions provided by the Lyapunov stability theory. Numerical simulations verify the effectiveness of the proposed adaptive control schemes for time-delayed FHN neuronal networks.
SCIENTIFIC REPORTS
(2021)
Article
Mathematics, Interdisciplinary Applications
Ping Zhou et al.
Summary: A piezoelectric ceramic can convert external mechanical force and vibration into electric signals, which can be used as a sensitive sensor for detecting external sound signals. By incorporating piezoelectric ceramics into a neural circuit, external sound signals can be captured and encoded, providing insights into the discernment and cooperation of two ears in the auditory system.
CHAOS SOLITONS & FRACTALS
(2021)
Article
Mathematics, Interdisciplinary Applications
Sen Zhang et al.
Summary: A novel HR neuron model with memristive electromagnetic induction is proposed in this paper, exhibiting complex dynamics and generating hidden attractors and multistability phenomenon. The detailed investigation includes bifurcation diagrams, Lyapunov exponents, time series, attraction basins, and SE complexity. Circuit simulations and hardware experiments are conducted to demonstrate the theoretical analyses, and a pseudorandom number generator is designed using chaotic sequences from the memristive HR neuron model.
CHAOS SOLITONS & FRACTALS
(2021)
Article
Engineering, Mechanical
Iqtadar Hussain et al.
Summary: In this study, a photosensitive neuron model considering nonlinear encoding and responses to optical signals was proposed, revealing collective behavior and mechanisms in small-world network. The network exhibited synchronization before transitioning into a chimera state, validated by various methods including master stability function and recurrence plots.
NONLINEAR DYNAMICS
(2021)
Article
Mathematics, Interdisciplinary Applications
E. V. Rybalova et al.
Summary: In this study, we numerically investigated the spatiotemporal dynamics and synchronization of a heterogeneous two-layer multiplex network consisting of FitzHugh-Nagumo neurons. We found competitive behavior between solitary states and chimeras in the transition to synchronous regime with the introduction of interlayer coupling. By using different types of interlayer coupling, we systematically studied synchronization between different layers.
CHAOS SOLITONS & FRACTALS
(2021)
Article
Physics, Multidisciplinary
Chunlai Li et al.
Summary: In this study, a simple chaotic circuit was constructed by introducing a new magnetic flux-controlled memristor model. The system's basic dynamics were studied theoretically and numerically, revealing complex nonlinear behavior such as coexistence bifurcation, transient dynamics, and anti-monotonicity. The memristor chaotic circuit has the unique feature of enabling modulation of attractor position and amplitude by adjusting initial conditions.
EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS
(2021)
Article
Engineering, Mechanical
Yitong Guo et al.
Summary: The study investigates how the auditory system in animals captures external sound signals and proposes a piezoelectric neuron to study the physical mechanism of frequency selection and filtering. The addition of noise can enhance nonlinear resonance, and mode selection is studied by carefully controlling the noise intensity.
NONLINEAR DYNAMICS
(2021)
Article
Engineering, Multidisciplinary
Xiu-fang Zhang et al.
Summary: Inspired by the photoelectric effect, a light-sensitive neural circuit is designed to be sensitive to specific frequency bands of external illumination, exhibiting various firing modes and patterns. By utilizing filtering and encoding techniques, the circuit is able to reproduce firing modes in neurons and investigate mode transitions induced by parameter changes.
JOURNAL OF ZHEJIANG UNIVERSITY-SCIENCE A
(2021)
Article
Physics, Fluids & Plasmas
Emre Baspinar et al.
Summary: The study investigates coherence resonance in populations of FHN neurons through numerical and analytical methods, finding that coupling strength and noise intensity impact the phenomenon. Results show good agreement between mean-field and network models in the globally coupled case.
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