Multi-scroll and coexisting attractors in a Hopfield neural network under electromagnetic induction and external stimuli

D Vignesh, J Ma, S Banerjee - Neurocomputing, 2024 - Elsevier
The application of external stimuli to biological neurons is a valuable tool for investigating
neuronal properties, understanding neural circuitry, and developing therapeutic …

Estimate the electrical activity in a neuron under depolarization field

Z Hou, J Ma, X Zhan, L Yang, Y Jia - Chaos, Solitons & Fractals, 2021 - Elsevier
The physical electric variable is included into the known Hindmarsh-Rose (HR) model for
estimating the depolarization field effect and then external current forcing is applied to detect …

Bifurcation analyses and hardware experiments for bursting dynamics in non-autonomous memristive FitzHugh-Nagumo circuit

M Chen, JW Qi, HG Wu, Q Xu, BC Bao - Science China Technological …, 2020 - Springer
In this paper, a non-autonomous memristive FitzHugh-Nagumo (FHN) circuit is constructed
using a second-order memristive diode bridge with LC network. For convenience of circuit …

Complete synchronization of chaos in systems with nonlinear inertial coupling

IA Korneev, VV Semenov, AV Slepnev… - Chaos, Solitons & …, 2021 - Elsevier
The effect of complete synchronization of chaotic oscillations and complex spatial structures
in systems with nonlinear inertial coupling of the memristive type is studied. Three models of …

Energy estimation and coupling synchronization between biophysical neurons

FQ Wu, J Ma, G Zhang - Science China Technological Sciences, 2020 - Springer
Static charges can induce spatial electric field while moving charges can induce magnetic
field. As a result, continuous pumping and exchange of intercellular and extracellular …

Clarify the physical process for fractional dynamical systems

P Zhou, J Ma, J Tang - Nonlinear Dynamics, 2020 - Springer
Dynamics in fractional order systems has been discussed extensively for presenting a
possible guidance in the field of applied mathematics and interdisciplinary science. Within …

Global multistability and mechanisms of a memristive autapse-based Filippov Hindmash-Rose neuron model

C Gao, S Qiao, X An - Chaos, Solitons & Fractals, 2022 - Elsevier
Electromagnetic induction in the nervous system can be emulated by memristive autapses,
which plays a critical role in regulating physiological functions. A discontinuous control …

Inverse stochastic resonance in Hodgkin–Huxley neural system driven by Gaussian and non-Gaussian colored noises

L Lu, Y Jia, M Ge, Y Xu, A Li - Nonlinear Dynamics, 2020 - Springer
Inverse stochastic resonance (ISR) is the phenomenon of the response of neuron to noise,
which is opposite to the conventional stochastic resonance. In this paper, the ISR …

Complex bifurcation analysis and synchronization optimal control for Hindmarsh–Rose neuron model under magnetic flow effect

MK Wouapi, BH Fotsin, EBM Ngouonkadi… - Cognitive …, 2021 - Springer
In this contribution, the complex behaviour of the Hindmarsh–Rose neuron model under
magnetic flow effect (mHR) is investigated in terms of bifurcation diagrams, Lyapunov …

Mathematical modeling and mechanisms of pattern formation in ecological systems: a review

GQ Sun, HT Zhang, JS Wang, J Li, Y Wang, L Li… - Nonlinear …, 2021 - Springer
How populations distribute in both space and time is one of the key issues in ecological
systems, which can characterize the relationship between populations, space–time structure …