Double Hopf bifurcation in a container crane model with delayed position feedback

被引：11
|
作者：
Ding, Yuting [1 ,2 ]
Jiang, Weihua [1 ]
Yu, Pei [2 ]
机构：
[1] Harbin Inst Technol, Dept Math, Harbin 150001, Peoples R China
[2] Univ Western Ontario, Dept Appl Math, London, ON N6A 5B7, Canada
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2013年 / 219卷 / 17期
基金：
中国国家自然科学基金; 加拿大自然科学与工程研究理事会;
关键词：
Neutral delayed differential equation; Double Hopf bifurcation; Normal form; Multiple time scales; Center manifold reduction; FUNCTIONAL-DIFFERENTIAL EQUATIONS; BOGDANOV-TAKENS SINGULARITY; PERIODIC-SOLUTIONS; ASYMPTOTIC STABILITY; NORMAL FORMS; NEUTRAL EQUATIONS; MULTIPLE SCALES; OSCILLATOR; PARAMETERS; CRITERION;
D O I：
10.1016/j.amc.2013.03.023
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study dynamics in a container crane model with delayed position feedback, with particular attention focused on non-resonant double Hopf bifurcation. By using multiple time scales and center manifold reduction methods, we obtain the equivalent normal forms near a double Hopf critical point in this neutral delayed differential system. Moreover, bifurcations are classified in a two-dimensional parameter space near the critical point. Numerical simulations are presented to demonstrate the applicability of the theoretical results. (C) 2013 Elsevier Inc. All rights reserved.
引用
收藏
页码：9270 / 9281
页数：12
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