Bifurcations in Delay Differential Equations: An Algorithmic Approach in Frequency Domain

被引：0
|
作者：
Bel, A. [1 ]
Reartes, W. [1 ]
Torresi, A. [1 ]
机构：
[1] Univ Nacl Sur, Dept Matemat, CONICET, Av Alem 1254, RA-8000 Bahia Blanca, Buenos Aires, Argentina
来源：
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2016年 / 26卷 / 14期
关键词：
Delay differential equations; frequency domain method; bifurcations of periodic solutions; HOPF-BIFURCATION;
D O I：
10.1142/S0218127416502382
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this work we study local oscillations in delay differential equations with a frequency domain methodology. The main result is a bifurcation equation from which the existence and expressions of local periodic solutions can be determined. We present an iterative method to obtain the bifurcation equation up to a fixed arbitrary order. It is shown how this method can be implemented in symbolic math programs.
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页数：16
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