On the Number of Periodic Solutions of Delay Differential Equations-Reference-Cited by-同舟云学术

On the Number of Periodic Solutions of Delay Differential Equations

Published:2018-04 Issue:04 Volume:28 Page:1850051
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

Han Maoan¹^ORCID,Xu Bing¹,Tian Huanhuan¹,Bai Yuzhen²

Affiliation:

1. Department of Mathematics, Shanghai Normal University, Shanghai 200234, P. R. China

2. School of Mathematical Sciences, Qufu Normal University, Qufu 273165, P. R. China

Abstract

In this paper, we consider the existence and number of periodic solutions for a class of delay differential equations of the form [Formula: see text], based on the Kaplan–Yorke method. Especially, we consider a kind of delay differential equations with [Formula: see text] as a polynomial having parameters and find the number of periodic solutions with period [Formula: see text] or [Formula: see text].

Funder

National Natural Science Foundation of China

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127418500517

Reference11 articles.

1. Averaging theory at any order for computing periodic orbits

2. Lecture Notes in Pure and Applied Math.;Han M.,1995

3. Bifurcations of periodic solutions of delay differential equations

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