[BOOK][B] Multiple time scale dynamics
C Kuehn - 2015 - Springer
This book aims to provide an introduction to dynamical systems with multiple time scales. As
in any overview book, several topics are covered only quite briefly. My aim was to focus on …
in any overview book, several topics are covered only quite briefly. My aim was to focus on …
Classification of bursting patterns: A tale of two ducks
Bursting is one of the fundamental rhythms that excitable cells can generate either in
response to incoming stimuli or intrinsically. It has been a topic of intense research in …
response to incoming stimuli or intrinsically. It has been a topic of intense research in …
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. For convenience of circuit …
using a second-order memristive diode bridge with LC network. For convenience of circuit …
Stochastic bifurcations and noise-induced chaos in 3D neuron model
The stochastically forced three-dimensional Hindmarsh–Rose model of neural activity is
considered. We study the effect of random disturbances in parametric zones where the …
considered. We study the effect of random disturbances in parametric zones where the …
[BOOK][B] Encyclopedia of computational neuroscience
Introduction Studies of categorical decision-making attempt to understand behavior by
probing how different features of complex and changing environments guide the selection of …
probing how different features of complex and changing environments guide the selection of …
Bursting in a next generation neural mass model with synaptic dynamics: a slow–fast approach
We report a detailed analysis on the emergence of bursting in a recently developed neural
mass model that includes short-term synaptic plasticity. Neural mass models can mimic the …
mass model that includes short-term synaptic plasticity. Neural mass models can mimic the …
A novel chaotic hyperjerk circuit with bubbles of bifurcation: mixed-mode bursting oscillations, multistability, and circuit realization
This contribution proposes a novel chaotic hyperjerk circuit with the new phenomenon of
mixed-mode bursting oscillations (MMBOs). The bifurcation analysis of this specific oscillator …
mixed-mode bursting oscillations (MMBOs). The bifurcation analysis of this specific oscillator …
Sensitivity analysis of the noise-induced oscillatory multistability in Higgins model of glycolysis
L Ryashko - Chaos: An Interdisciplinary Journal of Nonlinear …, 2018 - pubs.aip.org
A phenomenon of the noise-induced oscillatory multistability in glycolysis is studied. As a
basic deterministic skeleton, we consider the two-dimensional Higgins model. The noise …
basic deterministic skeleton, we consider the two-dimensional Higgins model. The noise …
Neurodynamics
S Coombes, KCA Wedgwood - Texts in applied mathematics, 2023 - Springer
This is a book about 'Neurodynamics'. What we mean is that this is a book about how ideas
from dynamical systems theory have been developed and employed in recent years to give …
from dynamical systems theory have been developed and employed in recent years to give …
Extreme bursting events via pulse-shaped explosion in mixed Rayleigh-Liénard nonlinear oscillator
We study the dynamics of a parametrically and externally driven Rayleigh-Liénard hybrid
model and report the emergence of extreme bursting events due to a novel pulse-shaped …
model and report the emergence of extreme bursting events due to a novel pulse-shaped …