On the reducibility of a nonlinear periodic system with degenerate equilibrium. Issue 2 (3rd April 2018)

• Record Type: Journal Article
• Authors: Liang, Jianli; Tang, Longkun
• Is Part Of: Dynamical systems. Volume 33:Issue 2(2018)
• Page Start: 239
• Page End: 252
• Publication Date: 2018-04-03
• Subjects: Periodic system -- reducibility -- degenerate equilibrium -- small perturbations; Primary 37J40 -- Secondary 70H12 -- 34C20; Differentiable dynamical systems -- Periodicals; 515.35205
• DOI: 10.1080/14689367.2017.1349077
• Languages: English
• ISSNs: 1468-9367

Abstract

ABSTRACT: In this paper, we prove the reducibility of a class of nonlinear periodic differential equation with degenerate equilibrium point under small perturbations, and obtain a periodic solution near the equilibrium point. The result is new and more general, including that of the paper [X. Lu and J. Xu, On small perturbations of a nonlinear periodic system with degenerate equilibrium, Nonlinear Differ. Equ. Appl. 21 (2014), pp. 361–370 ].