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 …

Coexistence of infinitely many patterns and their control in heterogeneous coupled neurons through a multistable memristive synapse

Z Njitacke Tabekoueng, S Shankar Muni… - … Journal of Nonlinear …, 2022 - pubs.aip.org
The phenomenon of hidden heterogeneous extreme multistability is rarely reported in
coupled neurons. This phenomenon is investigated in this contribution using a model of a …

Route to chaos and chimera states in a network of memristive Hindmarsh-Rose neurons model with external excitation

SS Muni, Z Njıtacke, C Feudjio, T Fozin… - Chaos Theory and …, 2022 - dergipark.org.tr
In this paper we have introduced and investigated the collective behavior of a network of
memristive Hindmarsh-Rose (HR) neurons. The proposed model was built considering the …

The mechanism of periodic and chaotic bursting patterns in an externally excited memcapacitive system

H Zhao, X Ma, W Yang, Z Zhang, Q Bi - Chaos, Solitons & Fractals, 2023 - Elsevier
In this paper, a multi-time-scale-coupled nonlinear dynamic system is constructed by
introducing an external excitation into a charge-controlled memcapacitive system. We report …

Dynamics and stability of neural systems with indirect interactions involved energy levels

Y Shao, F Wu, Q Wang - Chaos, Solitons & Fractals, 2024 - Elsevier
Dynamical modelling for neural systems with direct and indirect connections is to
understand how these connections contribute to neural dynamics. Despite recent findings …

Temperature effects on neuronal firing rates and tonic-to-bursting transitions

M Burek, R Follmann, E Rosa - Biosystems, 2019 - Elsevier
Temperature fluctuations can affect neurological processes at a variety of levels, with the
overall output that higher temperatures in general increase neuronal activity. While …

[HTML][HTML] Computational and experimental modulation of a noisy chaotic neuronal system

J Gonzalez, R Follmann, E Rosa… - Chaos: An Interdisciplinary …, 2023 - pubs.aip.org
In this work, we study the interplay between chaos and noise in neuronal state transitions
involving period doubling cascades. Our approach involves the implementation of a …

[HTML][HTML] Cooperative maintenance of cellular identity in systems with intercellular communication defects

N Stankevich, A Koseska - Chaos: An Interdisciplinary Journal of …, 2020 - pubs.aip.org
The cooperative dynamics of cellular populations emerging from the underlying interactions
determines cellular functions and thereby their identity in tissues. Global deviations from this …

A critical firing rate associated with tonic-to-bursting transitions in synchronized gap-junction coupled neurons

A Shaffer, R Follmann, AL Harris, S Postnova… - The European Physical …, 2017 - Springer
A transition between tonic and bursting neuronal behaviors is studied using a linear chain of
three electrically coupled model neurons. Numerical simulations show that, depending on …

Activity patterns with silent states in a heterogeneous network of gap-junction coupled Huber-Braun model neurons

A Tchaptchet - Chaos: An Interdisciplinary Journal of Nonlinear …, 2018 - pubs.aip.org
A mathematical model of a network of nearest neighbor gap-junction coupled neurons has
been used to examine the impact of neuronal heterogeneity on the networks' activity during …