Classification of meromorphic integrals for autonomous nonlinear ordinary differential equations with two dominant monomials

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:479

Article

Demina, Maria V.^1,2 

[1] Natl Res Univ Higher Sch Econ, 34 Tallinskaya St, Moscow 123458, Russia

[2] Natl Res Nucl Univ MEPhI, 31 Kashirskoe Shosse, Moscow 115409, Russia

关键词: Meromorphic functions;    Nevanlinna theory;    Lorenz model;   

DOI  :  10.1016/j.jmaa.2019.07.026

来源: Elsevier

【 摘 要 】

The Nevanlinna theory is used to derive the general structure of transcendental meromorphic solutions for a wide class of autonomous nonlinear ordinary differential equations with two dominant monomials. An algebro-geometric method, which enables one to obtain these solutions explicitly, is described. New simply periodic solutions of the Lorenz system are obtained. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free