Stability properties of a two-dimensional system involving one Caputo derivative and applications to the investigation of a fractional-order Morris-Lecar neuronal model

DOI10.1007/s11071-017-3809-2zbMath1393.34013arXiv1612.05389OpenAlexW3104584135MaRDI QIDQ1663709

Oana Brandibur, Eva Kaslik

Publication date: 22 August 2018

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.05389

zbMATH Keywords

stabilityinstabilitybifurcationnumerical simulationCaputo derivativefractional-order derivativeMorris-Lecar

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Spaces of measures, convergence of measures (28A33) Simulation of dynamical systems (37M05) Fractional ordinary differential equations (34A08)

Related Items (6)

Stability analysis for a single degree of freedom fractional oscillator ⋮ On the objectivity of mathematical description of ion transport processes using general temporal Caputo and Riemann-Liouville fractional partial derivatives ⋮ Stability Analysis of Two-Dimensional Incommensurate Systems of Fractional-Order Differential Equations ⋮ Exact stability and instability regions for two-dimensional linear autonomous multi-order systems of fractional-order differential equations ⋮ A Rulkov neuronal model with Caputo fractional variable-order differences of convolution type ⋮ Stability of Systems of Fractional-Order Difference Equations and Applications to a Rulkov-Type Neuronal Model

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