Rational integrability of two-dimensional quasi-homogeneous polynomial differential systems

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2010-09

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Ciencias Integradas

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Center

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https://hdl.handle.net/10272/25441

DOI

10.1016/j.na.2010.04.059

Abstract

We characterize, in terms of the conservative-dissipative decomposition of a vector field, the two-dimensional quasi-homogeneous polynomial differential systems which have got a rational first integral. We obtain the Kowalevskaya exponents of these vector fields and relate the rational integrability of these fields to their Kowalevskaya exponents.

Keywords

Rational Integrability; Quasi-homogeneous vector field; Rational integrability; Kowalevskaya exponents

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12 Matemáticas

Bibliographic citation

Algaba, A., García, C., & Reyes, M. (2010). Rational integrability of two-dimensional quasi-homogeneous polynomial differential systems. In Nonlinear Analysis: Theory, Methods & Applications (Vol. 73, Issue 5, pp. 1318–1327). Elsevier BV. https://doi.org/10.1016/j.na.2010.04.059

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