Stability of Systems of Fractional-Order Difference Equations and Applications to a Rulkov-Type Neuronal Model

DOI10.1007/978-3-030-34724-6_31zbMath1491.39007OpenAlexW3003502726MaRDI QIDQ5013799

Małgorzata Wyrwas, Oana Brandibur, Dorota Mozyrska, Eva Kaslik

Publication date: 2 December 2021

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

Full work available at URL: https://doi.org/10.1007/978-3-030-34724-6_31

zbMATH Keywords

Caputo fractional differenceneuronal modelfractional-order difference equationfractional-order Rulkov modelincommensurate fractional-order system

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Difference equations, scaling ((q)-differences) (39A13) Stability theory for difference equations (39A30)

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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