9 citations · 18 across the 12 of their papers we have counts for
7 papers · 1 filter
Dynamics of Kahan-Hirota-Kimura maps with rational invariant fibrations
Víctor Mañosa, Chara Pantazi
We present a simple method to study the dynamics of planar Kahan-Hirota-Kimura (KHK) maps preserving rational fibrations. Using this approach, we show that integrable KHK maps may…
Semiclassical quantification of some two degree of freedom potentials: a Differential Galois approach
P. B. Acosta-Humánez, J. T. Lázaro, J. J. Morales-Ruiz +1
In this work we explain the relevance of the Differential Galois Theory in the semiclassical (or WKB) quantification of some two degree of freedom potentials. The key point is that…
Darboux integrability and dynamics of the Basener-Ross population model
Faruk Güngör, Jaume Llibre, Chara Pantazi
We deal with the Basener and Ross model for the evolution of human population in Easter island. We study the Darboux integrability of this model and characterize all its global dyn…
Invariant algebraic surfaces of polynomial vector fields in dimension three
Niclas Kruff, Jaume Llibre, Chara Pantazi +1
We discuss criteria for the nonexistence, existence and computation of invariant algebraic surfaces for three-dimensional complex polynomial vector fields, thus transferring a clas…
Differential Galois Theory and non-Integrability of Planar Polynomial Vector Fields
Primitivo B. Acosta-Humánez, J. Tomás Lázaro, Juan J. Morales-Ruiz +1
We study a necessary condition for the integrability of the polynomials fields in the plane by means of the differential Galois theory. More concretely, by means of the variational…
Limit cycles bifurcating from a degenerate center
J. Llibre, C. Pantazi
We study the maximum number of limit cycles that can bifurcate from a degenerate center of a cubic homogeneous polynomial differential system. Using the averaging method of second…
On the integrability of polynomial fields in the plane by means of Picard-Vessiot theory
Primitivo B. Acosta-Humánez, J. Tomás Lázaro-Ochoa, Juan J. Morales-Ruiz +1
We study the integrability of polynomial vector fields using Galois theory of linear differential equations when the associated foliations is reduced to a Riccati type foliation. I…