Perturbations of Hindmarsh-Rose neuron dynamics by fractional operators: bifurcation, firing and chaotic bursts

DOI10.3934/dcdss.2020036zbMath1491.92034OpenAlexW2921938364WikidataQ128192468 ScholiaQ128192468MaRDI QIDQ2180324

Patrick M. Tchepmo Djomegni, Emile Franc Doungmo Goufo, Melusi Khumalo

Publication date: 13 May 2020

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdss.2020036

zbMATH Keywords

convergenceHaar waveletsgeneralized modelHindmarsh-Rose nerve cell modelperiod-adding chaotic bifurcations

Mathematics Subject Classification ID

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

Related Items (2)

Unnamed Item ⋮ MACLAURIN SERIES METHOD FOR FRACTAL DIFFERENTIAL-DIFFERENCE MODELS ARISING IN COUPLED NONLINEAR OPTICAL WAVEGUIDES

Cites Work

• Stability and convergence analysis of a variable order replicator-mutator process in a moving medium
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• APPLICATION OF THE CAPUTO-FABRIZIO FRACTIONAL DERIVATIVE WITHOUT SINGULAR KERNEL TO KORTEWEG-DE VRIES-BURGERS EQUATION∗
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