A Rulkov neuronal model with Caputo fractional variable-order differences of convolution type
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Publication:2073889
DOI10.1007/978-3-030-77310-6_20zbMath1485.92024OpenAlexW4205778801MaRDI QIDQ2073889
Oana Brandibur, Eva Kaslik, Małgorzata Wyrwas, Dorota Mozyrska
Publication date: 8 February 2022
Full work available at URL: https://doi.org/10.1007/978-3-030-77310-6_20
instabilityburstingfractional-order systemneuronal modelvariable-order fractional operatorfractional-order difference equationfractional-order Rulkov model
Neural biology (92C20) Fractional derivatives and integrals (26A33) Applications of difference equations (39A60)
Cites Work
- Stability properties of a two-dimensional system involving one Caputo derivative and applications to the investigation of a fractional-order Morris-Lecar neuronal model
- Modeling of spiking-bursting neural behavior using two-dimensional map
- Stability of two‐component incommensurate fractional‐order systems and applications to the investigation of a FitzHugh‐Nagumo neuronal model
- Stability by linear approximation and the relation between the stability of difference and differential fractional systems
