Bifurcations and multistability in the extended Hindmarsh–Rose neuronal oscillator

EBM Ngouonkadi, HB Fotsin, PL Fotso… - Chaos, Solitons & …, 2016 - Elsevier
We report on the bifurcation analysis of an extended Hindmarsh–Rose (eHR) neuronal
oscillator. We prove that Hopf bifurcation occurs in this system, when an appropriate chosen …

Symmetric periodic bursting behavior and bifurcation mechanism in a third-order memristive diode bridge-based oscillator

BC Bao, PY Wu, H Bao, HG Wu, X Zhang… - Chaos, Solitons & …, 2018 - Elsevier
This paper presents a novel third-order autonomous memristive diode bridge-based
oscillator with fast-slow effect. Based on the modeling of the presented memristive oscillator …

Three‐Dimensional Memristive Hindmarsh–Rose Neuron Model with Hidden Coexisting Asymmetric Behaviors

B Bao, A Hu, H Bao, Q Xu, M Chen, H Wu - Complexity, 2018 - Wiley Online Library
Since the electrical activities of neurons are closely related to complex electrophysiological
environment in neuronal system, a novel three‐dimensional memristive Hindmarsh–Rose …

Synchronizability of two neurons with switching in the coupling

F Parastesh, H Azarnoush, S Jafari, B Hatef… - Applied Mathematics …, 2019 - Elsevier
Time-varying networks are prominently present in the nervous system, where the
connections between neurons vary according to the activity of pre and post synapses. Using …

[图书][B] Encyclopedia of computational neuroscience

D Jaeger, R Jung - 2015 - Springer
Introduction Studies of categorical decision-making attempt to understand behavior by
probing how different features of complex and changing environments guide the selection of …

Generalized FitzHugh–Nagumo model with tristable dynamics: Deterministic and stochastic bifurcations

IBT Nkounga, Y Xia, S Yanchuk, R Yamapi… - Chaos, Solitons & …, 2023 - Elsevier
We propose an extension of the Fitzhugh-Nagumo model, which possesses a regime of
three coexisting stable states: resting equilibrium and two stable oscillatory states. Such a …

Temperature compensation in a small rhythmic circuit

LM Alonso, E Marder - Elife, 2020 - elifesciences.org
Temperature affects the conductances and kinetics of the ionic channels that underlie
neuronal activity. Each membrane conductance has a different characteristic temperature …

Mode-locked orbits, doubling of invariant curves in discrete Hindmarsh-Rose neuron model

SS Muni - Physica Scripta, 2023 - iopscience.iop.org
Similar to period-doubling bifurcation of fixed points, periodic orbits, it has been found since
1980's that a corresponding doubling bifurcation can also be found in the case of …

Memristor‐Based Canonical Chua's Circuit: Extreme Multistability in Voltage‐Current Domain and Its Controllability in Flux‐Charge Domain

H Bao, T Jiang, K Chu, M Chen, Q Xu, B Bao - Complexity, 2018 - Wiley Online Library
This paper investigates extreme multistability and its controllability for an ideal voltage‐
controlled memristor emulator‐based canonical Chua's circuit. With the voltage‐current …

Bifurcation mechanism of periodic bursting in a simple three-element-based memristive circuit with fast-slow effect

Y Lin, WB Liu, H Bao, Q Shen - Chaos, Solitons & Fractals, 2020 - Elsevier
The design and analysis of simple autonomous memristive circuits are of great significance
in theoretical research and practical application of complex dynamics. This paper designs a …