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A practical synthesis and analysis of the fractional-order FitzHugh-Nagumo neuronal model
This work focuses on the practical and reasonable synthesis of the fractional-order FitzHugh-Nagumo (FHN) neuronal model. First of all, the...
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Synchronization and chimeras in a network of photosensitive FitzHugh–Nagumo neurons
Recently, a photosensitive model has been proposed that takes into account nonlinear encoding and responses of photosensitive neurons that are...
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An effective method for the reduction of the device utilization amount in experimental realization of a fractional-order system
This study focuses on the experimental realization of the fractional-order FitzHugh–Nagumo (FHN) neuron model. Firstly, a second-order approximation...
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A generalized Caputo-type fractional-order neuron model under the electromagnetic field
This article considers a fractional-order neuron model under an electromagnetic field in terms of generalized Caputo fractional derivatives. The...
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Bifurcation analyses and hardware experiments for bursting dynamics in non-autonomous memristive FitzHugh-Nagumo circuit
In this paper, a non-autonomous memristive FitzHugh-Nagumo (FHN) circuit is constructed using a second-order memristive diode bridge with LC network....
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Extreme multi-stability and microchaos of fractional-order memristive Rulkov neuron model considering magnetic induction and its digital watermarking application
This paper investigates a fractional-order Rulkov neuron model with discrete memristor under external electromagnetic radiation. The magnetic flux...
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Modeling and Solution of Reaction–Diffusion Equations by Using the Quadrature and Singular Convolution Methods
In the present work, polynomial, discrete singular convolution and sinc quadrature techniques are employed as the new techniques to derive accurate...
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Firing pattern transition of fractional-order memristor-coupled Hindmarsh–Rose neurons model and its medical image encryption for region of interest
This paper proposes a fractional-order memristor-coupled Hindmarsh–Rose neurons model, which the number and stability of equilibrium points are...
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Abundant soliton solution for the time-fractional stochastic Gray-Scot model under the influence of noise and M-truncated derivative
In this study, we investigate the abundant soliton solutions for the time-fractional stochastic Gray-Scot (TFSGS) model analytically. The Gray-Scot...
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Hamiltonian energy computation and complex behavior of a small heterogeneous network of three neurons: circuit implementation
Brain functions are sometimes emulated using some analog integrated circuits based on the organizational principle of natural neural networks....
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A second-order stochastic resonance method enhanced by fractional-order derivative for mechanical fault detection
Stochastic resonance (SR), as a noise-enhanced signal processing tool, has been extensively investigated and widely applied to mechanical fault...
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Dynamics of stimuli-based fractional-order memristor-coupled tabu learning two-neuron model and its engineering applications
External stimulus has an impact on the functional behavior of the biological nervous system, and appropriate stimulus helps the organism to maintain...
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Synchronization of coupled oscillators in presence of disturbance and heterogeneity
Disturbance and heterogeneity have a strong influence on coupled oscillator dynamics. In general, strong disturbances and heterogeneity break the...
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Recurrence-based reconstruction of dynamic pricing attractors
Dynamic pricing depends on the understanding of uncertain demand. We ask the question whether a stochastic system is sufficient to model this...
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An advanced meshless approach for the high-dimensional multi-term time-space-fractional PDEs on convex domains
In this article, an advanced differential quadrature (DQ) approach is proposed for the high-dimensional multi-term time-space-fractional partial...
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A new numerical algorithm for fractional Fitzhugh–Nagumo equation arising in transmission of nerve impulses
The principal objective of this study is to present a new numerical scheme based on a combination of q -homotopy analysis approach and Laplace...
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Dynamics in a memristive neuron under an electromagnetic field
Propagation and exchange of electrical signals between neurons mainly depend on the controllability of synapses. These electrical signals will affect...
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Intelligent predictive computing for functional differential system in quantum calculus
The aim of this study is to present a novel application of Levenberg–Marquardt backpropagation (LMB) to investigate numerically the solution of...
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Identification of hybrid energy harvesting systems with non-Gaussian process
Hybrid energy harvesting systems are broadly applied in various fields due to the advantage of improving energy harvesting efficiency. In actual...
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Dynamical analysis of HR–FN neuron model coupled by locally active hyperbolic memristor and DNA sequence encryption application
A hyperbolic type memristor with local activity which can generate the hysteresis loops with asymmetrical hysteresis is proposed. A HR–FN neuron...
