Periodic Solutions with Prescribed Minimal Period for 2n th-Order Nonlinear Discrete Systems. (6th September 2021)

• Record Type: Journal Article
• Authors: Shi, Haiping; Luo, Peifang; Huang, Zan
• Other Names: Anderson Douglas R. Academic Editor.
• Is Part Of: Discrete dynamics in nature and society. Volume 2021(2021)
• Publication Date: 2021-09-06
• Subjects: System analysis -- Periodicals; Dynamics -- Periodicals; Chaotic behavior in systems -- Periodicals; Differentiable dynamical systems -- Periodicals; 003.05
• DOI: 10.1155/2021/2432761
• Languages: English
• ISSNs: 1026-0226

Abstract

Abstract : In this paper, by using the critical point theory, some new results of the existence of at least two nontrivial periodic solutions with prescribed minimal period to a class of 2 n th-order nonlinear discrete system are obtained. The main approach used in our paper is variational technique and the linking theorem. The problem is to solve the existence of periodic solutions with prescribed minimal period of 2 n th-order discrete systems.