[HTML][HTML] Analytically integrable system orbitally equivalent to a semi-quasihomogeneous system
For perturbations of integrable non-Hamiltonian quasi-homogeneous planar vector field
whose origin is a non-degenerate singular point, orbital linearization and analytic …
whose origin is a non-degenerate singular point, orbital linearization and analytic …
Analytical integrability of perturbations of quadratic systems
Analytical Integrability of Perturbations of Quadratic Systems | Mediterranean Journal of
Mathematics Skip to main content SpringerLink Account Menu Find a journal Publish with us …
Mathematics Skip to main content SpringerLink Account Menu Find a journal Publish with us …
Periodic orbits bifurcating from a Hopf equilibrium of 2-dimensional polynomial Kolmogorov systems of arbitrary degree
D Djedid, J Llibre, A Makhlouf - Chaos, Solitons & Fractals, 2021 - Elsevier
A Hopf equilibrium of a differential system in R 2 is an equilibrium point whose linear part
has eigenvalues±ω i with ω≠ 0, where i=− 1. We provide necessary and sufficient …
has eigenvalues±ω i with ω≠ 0, where i=− 1. We provide necessary and sufficient …
[PDF][PDF] Analytical integrability of perturbations of degenerate quadratic systems
We consider analytic perturbations of quadratic homogeneous differential systems having
an isolated singularity at the origin. Here we characterize the analytically integrable …
an isolated singularity at the origin. Here we characterize the analytically integrable …
Analytically Integrable Centers of Perturbations of Cubic Homogeneous Systems
We consider the analytically integrable perturbations of cubic homogeneous differential
systems whose origin is an isolated singularity. We prove that are orbitally equivalent to the …
systems whose origin is an isolated singularity. We prove that are orbitally equivalent to the …
[HTML][HTML] Quasi-homogeneous linearization of degenerate vector fields
We characterize the analytic planar vector fields orbitally equivalent to its quasi-
homogeneous leader term, by means the existence of a class of inverse integrating factors …
homogeneous leader term, by means the existence of a class of inverse integrating factors …
Analytic partial-integrability of a symmetric Hopf-zero degeneracy
We deal with analytic three-dimensional symmetric systems whose origin is a Hopf-zero
singularity. Once it is not completely analytically integrable, we provide criteria on the …
singularity. Once it is not completely analytically integrable, we provide criteria on the …