The benefits of noise in neural systems: bridging theory and experiment

MD McDonnell, LM Ward - Nature Reviews Neuroscience, 2011 - nature.com
Although typically assumed to degrade performance, random fluctuations, or noise, can
sometimes improve information processing in non-linear systems. One such form …

Self-oscillation

A Jenkins - Physics Reports, 2013 - Elsevier
Physicists are very familiar with forced and parametric resonance, but usually not with self-
oscillation, a property of certain dynamical systems that gives rise to a great variety of …

Modeling of memristor-based Hindmarsh-Rose neuron and its dynamical analyses using energy method

L Xu, G Qi, J Ma - Applied Mathematical Modelling, 2022 - Elsevier
It has been extensively studied to employ memristors to model the relationship between the
electromagnetic field and the membrane potential, especially for the research of modeling …

Hamilton energy, complex dynamical analysis and information patterns of a new memristive FitzHugh-Nagumo neural network

ZT Njitacke, CN Takembo, J Awrejcewicz… - Chaos, Solitons & …, 2022 - Elsevier
This paper presents and studies the dynamics of a single neuron, followed by the network of
an improved FitzHugh-Nagumo model with memristive autapse. The investigation on the …

Nonlinear and stochastic dynamics in the heart

Z Qu, G Hu, A Garfinkel, JN Weiss - Physics reports, 2014 - Elsevier
In a normal human life span, the heart beats about 2–3 billion times. Under diseased
conditions, a heart may lose its normal rhythm and degenerate suddenly into much faster …

Dynamics in a memristive neural network with three discrete heterogeneous neurons and its application

D Luo, C Wang, Q Deng, Y Sun - Nonlinear Dynamics, 2024 - Springer
Real brains exist with neural networks consisting of heterogeneous neuronal connections.
However, there have been many studies on memristive homogeneous neural networks and …

The modulation of neural gain facilitates a transition between functional segregation and integration in the brain

JM Shine, MJ Aburn, M Breakspear, RA Poldrack - Elife, 2018 - elifesciences.org
Cognitive function relies on a dynamic, context-sensitive balance between functional
integration and segregation in the brain. Previous work has proposed that this balance is …

Hamiltonian energy and coexistence of hidden firing patterns from bidirectional coupling between two different neurons

ZT Njitacke, BN Koumetio, B Ramakrishnan… - Cognitive …, 2021 - Springer
In this paper, bidirectional-coupled neurons through an asymmetric electrical synapse are
investigated. These coupled neurons involve 2D Hindmarsh–Rose (HR) and 2D FitzHugh …

An enhanced FitzHugh–Nagumo neuron circuit, microcontroller-based hardware implementation: light illumination and magnetic field effects on information patterns

ZT Njitacke, J Ramadoss, CN Takembo… - Chaos, Solitons & …, 2023 - Elsevier
This contribution introduced and investigated an improved photosensitive memristive
FitzHugh–Nagumo (FHN) neural circuit. The mathematical equations of the model have …

Phase synchronization, extreme multistability and its control with selection of a desired pattern in hybrid coupled neurons via a memristive synapse

JT Fossi, V Deli, ZT Njitacke, JM Mendimi… - Nonlinear …, 2022 - Springer
The memristor is a nonlinear electronic nanodevice with incredible biomimetic
characteristics generally used by neurologists, more specifically in neuromorphics, to design …