On Existence and Nonexistence of Limit Cycles for FitzHugh-Nagumo Class Models

DOI10.1007/10984413_21zbMath1203.34055OpenAlexW2472696056MaRDI QIDQ3069327

M. Ringkvist, Yishao Zhou

Publication date: 25 January 2011

Published in: New Directions and Applications in Control Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/10984413_21

Mathematics Subject Classification ID

Neural biology (92C20) Dynamical systems in biology (37N25) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)

Related Items (3)

Controlling synchronization in a complex network of nonlinear oscillators via feedback linearisation and \(\mathcal{H}_\infty\)-control ⋮ Attraction basin of the equilibrium configuration in the FitzHugh-Nagumo model ⋮ On the dynamical behaviour of FitzHugh-Nagumo systems: revisited

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