Invariant Curves of Almost Periodic Reversible Mappings

2018/07/17 by Piao, Daxiong, Zhang, Xinli
#34C27 #37J40 #70H08 #70H12 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.1807.06304

Abstract

In this paper, we prove some invariant curve theorems for the planar almost periodic reversible mappings. As an application, we will discuss the existence of almost periodic solutions and the boundedness of all solutions for the nonlinear oscillator x"+g(x)x'+\varpi²x+φ(x)=f(t) with f(t) almost periodic.

Related

• Invariant curves of almost periodic twist mappings
• The existence of invariant curves of a kind of almost periodic twist mappings
• Almost periodic solutions for an asymmetric oscillation
• Invariant curves of quasi-periodic reversible mappings and its application
• Invariant curves of low smooth quasi-periodic reversible mappings