A new algorithm for determining the monodromy of a planar differential system

Thumbnail Image

Files

algmono2013rev1.pdf (288.5 KB)

Publication date

2014-06

Authors

Advisors

Department

Ciencias Integradas

Research group

Center

Metrics

Google Scholar

Export

Research Projects

Organizational Units

Journal Issue

URI

https://hdl.handle.net/10272/25438

DOI

10.1016/j.amc.2014.03.129

Abstract

We give a new algorithmic criterium that determines wether an isolated degenerate singular point of a system of di erential equations on the plane is monodromic. This criterium involves the conservative and dissipative parts associated to the edges and vertices of the Newton diagram of the vector eld.

Keywords

Ecuaciones diferenciales; Characteristic orbits; Monodromy of vector fields; Monodromy; Characteristic orbits; Degenerate systems; Newton diagram

Unesco Subjects

1206.02 Ecuaciones Diferenciales

Bibliographic citation

Algaba, A., García, C., & Reyes, M. (2014). A new algorithm for determining the monodromy of a planar differential system. In Applied Mathematics and Computation (Vol. 237, pp. 419–429). Elsevier BV. https://doi.org/10.1016/j.amc.2014.03.129

Collections

Artículos
Atribución-SinDerivadas 3.0 España
The license for this item is described as Atribución-SinDerivadas 3.0 España