5 citations · 9 across the 9 of their papers we have counts for
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Abelian integrals for polynomials with trivial global monodromy on
Jesús Muciño-Raymundo, Salomón Rebollo-Perdomo
We consider infinitesimal perturbations of Hamiltonian differential equations on the complex plane , where is a polynomial of degree …
Integrability and adapted complex structures to smooth vector fields on the plane
Gaspar León-Gil, Jesús Muciño-Raymundo
Singular complex analytic vector fields on the Riemann surfaces enjoy several geometric properties (singular means that poles and essential singularities are admissible). We descri…
Dynamics of singular complex analytic vector fields with essential singularities II
Alvaro Alvarez-Parrilla, Jesús Muciño-Raymundo
The singular complex analytic vector fields on the Riemann sphere belonging to the family ${\mathscr E}(r,d)=\left\{ X(z)=\frac{1}{P(z)} e^{E(z)}\frac{\…
Symmetries of complex analytic vector fields with an essential singularity on the Riemann sphere
Alvaro Alvarez-Parrilla, Jesús Muciño-Raymundo
We consider the family with polynomials, deg, deg and deg$(…
On the geometry, flows and visualization of singular complex analytic vector fields on Riemann surfaces
Alvaro Alvarez-Parrilla, Jesús Muciño-Raymundo, Selene Solorza-Calderón +1
Motivated by the wild behavior of isolated essential singularities in complex analysis, we study singular complex analytic vector fields on arbitrary Riemann surfaces . By v…