2 papers
math.DS2024
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 +1
We consider a class of three-dimensional systems having an equilibrium point at the origin, whose principal part is of the form (-Dy h(x, y), Dx h(x,y), f(x,y))^T . This principal…
math.DS2019
On the Integrability Problem for the Hopf-Zero singularity and its relation with the inverse Jacobi multiplier
A. Algaba, N. Fuentes, E. Gamero +1
In this paper we use the orbital normal form of the nondegenerate Hopf-zero singularity to obtain necessary conditions for the existence of first integrals for such singularity. Al…