Bipolar Pulse-Induced Coexisting Firing Patterns in Two-Dimensional Hindmarsh–Rose Neuron Model

Multistability and tipping: From mathematics and physics to climate and brain—Minireview and preface to the focus issue

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Numerical and experimental confirmations of quasi-periodic behavior and chaotic bursting in third-order autonomous memristive oscillator

(2018) B.C. Bao et al.   CHAOS SOLITONS & FRACTALS

Initial condition-dependent dynamics and transient period in memristor-based hypogenetic jerk system with four line equilibria

(2018) Han Bao et al.   Communications in Nonlinear Science and Numerical Simulation

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

(2018) Bocheng Bao et al.   COMPLEXITY

Effects of ion channel blocks on electrical activity of stochastic Hodgkin–Huxley neural network under electromagnetic induction

(2018) Ying Xu et al.   NEUROCOMPUTING

AC-induced coexisting asymmetric bursters in the improved Hindmarsh–Rose model

(2018) Bocheng Bao et al.   NONLINEAR DYNAMICS

An infinite 3-D quasiperiodic lattice of chaotic attractors

(2018) Chunbiao Li et al.   PHYSICS LETTERS A

The Electrical Activity of Neurons Subject to Electromagnetic Induction and Gaussian White Noise

(2017) Ya Wang et al.   INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS

Mixed Mode Oscillations and Synchronous Activity in Noise Induced Modified Morris–Lecar Neural System

(2017) Ranjit Kumar Upadhyay et al.   INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS

Stability and bifurcation analysis in the coupled HR neurons with delayed synaptic connection

(2017) Haixia Wang et al.   NONLINEAR DYNAMICS

Energy dependence on modes of electric activities of neuron driven by multi-channel signals

(2017) Ya Wang et al.   NONLINEAR DYNAMICS

A review for dynamics in neuron and neuronal network

(2017) Jun Ma et al.   NONLINEAR DYNAMICS

Mode transition in electrical activities of neuron driven by high and low frequency stimulus in the presence of electromagnetic induction and radiation

(2017) Mengyan Ge et al.   NONLINEAR DYNAMICS

Dynamical Analysis of the Hindmarsh–Rose Neuron With Time Delays

(2017) S. Lakshmanan et al.   IEEE Transactions on Neural Networks and Learning Systems

Non-Autonomous Second-Order Memristive Chaotic Circuit

(2017) Quan Xu et al.   IEEE Access

Transitions between classes of neuronal excitability and bifurcations induced by autapse

(2017) Zhiguo Zhao et al.   Scientific Reports

Bifurcations and multistability in the extended Hindmarsh–Rose neuronal oscillator

(2016) E.B. Megam Ngouonkadi et al.   CHAOS SOLITONS & FRACTALS

Multiple modes of electrical activities in a new neuron model under electromagnetic radiation

(2016) Mi Lv et al.   NEUROCOMPUTING

On the quasi-periodic response in the delayed forced Duffing oscillator

(2016) Ilham Kirrou et al.   NONLINEAR DYNAMICS

Nonlinear feedback coupling in Hindmarsh–Rose neurons

(2016) Sunsu Kurian Thottil et al.   NONLINEAR DYNAMICS

Constructing chaotic systems with conditional symmetry

(2016) Chunbiao Li et al.   NONLINEAR DYNAMICS

Model of electrical activity in a neuron under magnetic flow effect

(2016) Mi Lv et al.   NONLINEAR DYNAMICS

Hypogenetic chaotic jerk flows

(2016) Chunbiao Li et al.   PHYSICS LETTERS A

Multistability in symmetric chaotic systems

(2015) C. Li et al.   European Physical Journal-Special Topics

Bifurcation study of neuron firing activity of the modified Hindmarsh–Rose model

(2015) Kaijun Wu et al.   NEURAL COMPUTING & APPLICATIONS

Multistability in the Lorenz System: A Broken Butterfly

(2014) Chunbiao Li et al.   INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS

Biological experimental demonstration of bifurcations from bursting to spiking predicted by theoretical models

(2014) Huaguang Gu et al.   NONLINEAR DYNAMICS

Complex transient dynamics in periodically forced memristive Chua’s circuit

(2014) Bocheng Bao et al.   NONLINEAR DYNAMICS

Deterministic and stochastic bifurcations in the Hindmarsh-Rose neuronal model

(2013) S. R. Dtchetgnia Djeundam et al.   CHAOS

Dynamic behavior analysis of fractional-order Hindmarsh–Rose neuronal model

(2013) Dong Jun et al.   Cognitive Neurodynamics

On the effect of circadian oscillations on biochemical cell signaling by NF−κB

(2013) J.M. González-Miranda   JOURNAL OF THEORETICAL BIOLOGY

Quasi-periodic oscillation envelopes and frequency locking in rapidly vibrated nonlinear systems with time delay

(2013) Mustapha Hamdi et al.   NONLINEAR DYNAMICS

Biological Experimental Observations of an Unnoticed Chaos as Simulated by the Hindmarsh-Rose Model

(2013) Huaguang Gu   PLoS One

On the dynamics of chaotic spiking-bursting transition in the Hindmarsh–Rose neuron

(2009) G. Innocenti et al.   CHAOS

The Hindmarsh–Rose neuron model: Bifurcation analysis and piecewise-linear approximations

(2008) Marco Storace et al.   CHAOS

Noise in the nervous system

(2008) A. Aldo Faisal et al.   NATURE REVIEWS NEUROSCIENCE