Meromorphic Non-Integrability of Several 3D Dynamical Systems

Entropy

Shaoyun Shi¹  Kaiyin Huang¹  Wenlei Li¹ 

[1] School of Mathematics, Jilin University, Changchun 130012, China;

关键词: differential Galois theory;    first integrals;    meromorphic non-integrability;   

DOI  :  10.3390/e19050211

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown