A survey on the Kovalevskaya exponents and their applications
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2021.125576
Abstract: Abstract The Kovalevskaya exponents are widely used in the theory of the integrability of dynamical systems. There are many works about this subject. In this survey we list the main results on the Kovalevskaya exponents… read more here.
Keywords: applications survey; kovalevskaya exponents; exponents applications; survey kovalevskaya ... See more keywords
Kovalevskaya Exponents, Weak Painlevé Property and Integrability for Quasi-homogeneous Differential Systems
Sign Up to like & getrecommendations! Published in 2020 at "Regular and Chaotic Dynamics"
DOI: 10.1134/s1560354720030053
Abstract: We present some necessary conditions for quasi-homogeneous differential systems to be completely integrable via Kovalevskaya exponents. Then, as an application, we give a new link between the weak-Painlevé property and the algebraical integrability for polynomial… read more here.
Keywords: integrability; kovalevskaya exponents; differential systems; weak painlev ... See more keywords