Meromorphic Non-Integrability of Several 3D Dynamical Systems

Autor:	Kaiyin Huang, Shaoyun Shi, Wenlei Li
Jazyk:	angličtina
Rok vydání:	2017
Předmět:	differential Galois theory first integrals meromorphic non-integrability Science Astrophysics QB460-466 Physics QC1-999
Zdroj:	Entropy, Vol 19, Iss 5, p 211 (2017)
Druh dokumentu:	article
ISSN:	1099-4300
DOI:	10.3390/e19050211
Popis:	In this paper, we apply the differential Galoisian approach to investigate the meromorphic non-integrability of a class of 3D equations in mathematical physics, including Nosé–Hoover equations, the Lü system, the Rikitake-like system and Rucklidge equations, which are well known in the fields of molecular dynamics, chaotic theory and fluid mechanics, respectively. Our main results show that all these considered systems are, in fact, non-integrable in nearly all parameters.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/cf833ed2a66e4b658e9d6ca91e26158a Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF