Analysis of two- and three-dimensional fractional-order Hindmarsh-Rose type neuronal models

DOI10.1515/fca-2017-0033zbMath1376.92013arXiv1603.04560OpenAlexW2301865060MaRDI QIDQ2360544

Eva Kaslik

Publication date: 4 July 2017

Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.04560

zbMATH Keywords

stabilityHopf bifurcationburstingslow-fast systemHindmarsh-Rose modelHodgkin-Huxley equationsneuronfractional-orderneuronal activity

Mathematics Subject Classification ID

Neural biology (92C20) Fractional ordinary differential equations (34A08)

Related Items (10)

INTERLAYER AND INTRALAYER SYNCHRONIZATION IN MULTIPLEX FRACTIONAL-ORDER NEURONAL NETWORKS ⋮ Generalized synchronization of the extended Hindmarsh-Rose neuronal model with fractional order derivative ⋮ Memristor Initial-Offset Boosting in Memristive HR Neuron Model with Hidden Firing Patterns ⋮ Hopf bifurcation of the fractional-order Hindmarsh-Rose neuron model with time-delay ⋮ Bipolar Pulse-Induced Coexisting Firing Patterns in Two-Dimensional Hindmarsh–Rose Neuron Model ⋮ Modeling of memristor-based Hindmarsh-Rose neuron and its dynamical analyses using energy method ⋮ Coexistence of firing patterns and its control in two neurons coupled through an asymmetric electrical synapse ⋮ Multi-scroll hidden attractor in memristive HR neuron model under electromagnetic radiation and its applications ⋮ Chaotic Bursting Dynamics and Coexisting Multistable Firing Patterns in 3D Autonomous Morris–Lecar Model and Microcontroller-Based Validations ⋮ Considerations regarding the accuracy of fractional numerical computations

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