Complex Canard Explosion in a Fractional-Order FitzHugh–Nagumo Model

DOI10.1142/S0218127419501116zbMath1425.34061MaRDI QIDQ5229136

René Lozi, Mohammed-Salah Abdelouahab, Guan-Rong Chen

Publication date: 14 August 2019

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

chaosFitzHugh-Nagumo modelmixed-mode oscillationcanard explosionfractional-order system

Mathematics Subject Classification ID

Neural biology (92C20) Bifurcation theory for ordinary differential equations (34C23) Qualitative investigation and simulation of ordinary differential equation models (34C60) Complex behavior and chaotic systems of ordinary differential equations (34C28) Singular perturbations for ordinary differential equations (34E15) Fractional ordinary differential equations (34A08) Canard solutions to ordinary differential equations (34E17)

Related Items (8)

On some extended Routh-Hurwitz conditions for fractional-order autonomous systems of order \(\alpha\in (0, 2)\) and their applications to some population dynamic models ⋮ Bifurcation and vibration resonance in the time delay Duffing system with fractional internal and external damping ⋮ The paths of nine mathematicians to the realm of dynamical systems ⋮ Mixed-mode oscillations based on complex canard explosion in a fractional-order Fitzhugh-Nagumo model ⋮ Geometrical Model of Spiking and Bursting Neuron on a Mug-Shaped Branched Manifold ⋮ Canard Limit Cycles for Piecewise Linear Liénard Systems with Three Zones ⋮ Unnamed Item ⋮ Diverse Chimera and symmetry-breaking patterns induced by fractional derivation effect in a network of Stuart-Landau oscillators

Uses Software

• Matlab

Cites Work

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