Orbital normal forms for a class of three-dimensional systems with an application to Hopf-zero bifurcation analysis of Fitzhugh–Nagumo system

A. Algaba, N. Fuentes, E. Gamero and C. García

Applied Mathematics and Computation, 2020, vol. 369, issue C

Abstract: We consider a class of three-dimensional systems having an equilibrium point at the origin, whose principal part is of the form (−∂h∂y(x,y),∂h∂x(x,y),f(x,y))T. This principal part, which has zero divergence and does not depend on the third variable z, is the coupling of a planar Hamiltonian vector field Xh(x,y):=(−∂h∂y(x,y),∂h∂x(x,y))T with a one-dimensional system.

Keywords: Normal form; Splitting tridimensional vector fields; Hopf-zero bifurcation; Fitzhuh-Nagumo system (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:369:y:2020:i:c:s0096300319308859

DOI: 10.1016/j.amc.2019.124893

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