A four-dimensional neuronal model to describe the complex nonlinear dynamics observed in the firing patterns of a sciatic nerve chronic constriction injury model

Experimental identification of a comb-shaped chaotic region in multiple parameter spaces simulated by the Hindmarsh—Rose neuron model

(2014) Bing Jia   Chinese Physics B

DIFFERENT BIFURCATION SCENARIOS OF NEURAL FIRING PATTERNS OBSERVED IN THE BIOLOGICAL EXPERIMENT ON IDENTICAL PACEMAKERS

(2014) HUAGUANG GU   INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS

Difference Between Intermittent Chaotic Bursting and Spiking of Neural Firing Patterns

(2014) Huaguang Gu 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

Potassium-induced bifurcations and chaos of firing patterns observed from biological experiment on a neural pacemaker

(2014) HuaGuang Gu et al.   Science China-Technological Sciences

Experimental observation of transition from chaotic bursting to chaotic spiking in a neural pacemaker

(2013) Huaguang Gu   CHAOS

Experimental evidence of a chaotic region in a neural pacemaker

(2013) Hua-Guang Gu et al.   PHYSICS LETTERS A

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

(2013) Huaguang Gu   PLoS One

Nonlinear dynamics of the membrane potential of a bursting pacemaker cell

(2012) J. M. González-Miranda   CHAOS

Noise-induced precursors of tonic-to-bursting transitions in hypothalamic neurons and in a conductance-based model

(2011) Hans A. Braun et al.   CHAOS

Dynamics of period-doubling bifurcation to chaos in the spontaneous neural firing patterns

(2011) Bing Jia et al.   Cognitive Neurodynamics

Synchronization of slow-fast systems

(2011) I. Omelchenko et al.   European Physical Journal-Special Topics

Potassium Channels as a Potential Therapeutic Target for Trigeminal Neuropathic and Inflammatory Pain

(2011) Mamoru Takeda et al.   Molecular Pain

Dynamics of a neuron model in different two-dimensional parameter-spaces

(2011) Paulo C. Rech   PHYSICS LETTERS A

Parameter-sweeping techniques for temporal dynamics of neuronal systems: case study of Hindmarsh-Rose model

(2011) Roberto Barrio et al.   Journal of Mathematical Neuroscience

Interpreting a period-adding bifurcation scenario in neural bursting patterns using border-collision bifurcation in a discontinuous map of a slow control variable

(2010) Mo Juan et al.   Chinese Physics B

Full system bifurcation analysis of endocrine bursting models

(2010) Krasimira Tsaneva-Atanasova et al.   JOURNAL OF THEORETICAL BIOLOGY

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

(2009) G. Innocenti et al.   CHAOS

IDENTIFYING DISTINCT STOCHASTIC DYNAMICS FROM CHAOS: A STUDY ON MULTIMODAL NEURAL FIRING PATTERNS

(2009) MINGHAO YANG et al.   INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS

Variability of bursting patterns in a neuron model in the presence of noise

(2009) Paul Channell et al.   JOURNAL OF COMPUTATIONAL NEUROSCIENCE

METHODS OF THE QUALITATIVE THEORY FOR THE HINDMARSH–ROSE MODEL: A CASE STUDY – A TUTORIAL

(2008) ANDREY SHILNIKOV et al.   INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS

Nonlinear dynamics and chaos methods in neurodynamics and complex data analysis

(2008) Tijana Ivancevic et al.   NONLINEAR DYNAMICS

Axonal accumulation of hyperpolarization-activated cyclic nucleotide-gated cation channels contributes to mechanical allodynia after peripheral nerve injury in rat

(2008) Yu-Qiu Jiang et al.   PAIN