Discrete Hopf bifurcation for Runge-Kutta methods

被引：7

作者：

Christodoulou, Nikolaos S. ^{[1
]}

机构：

[1] TEI Chalkis, Sch Technol Applicat STEF, Gen Dept Appl Sci, GR-34400 Psahna, Greece

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2008年 / 206卷 / 01期

关键词：

Bifurcation problems; Hopf bifurcation; Computational methods for bifurcation problems; Attractors and their bifurcations;

D O I：

10.1016/j.amc.2008.09.026

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An investigation into how well real bifurcations in the family of dynamical systems are approximated as the step-size varies is carried out. The preservation of bifurcation structures and stability under numerical simulations is discussed. In addition, the behaviour of numerical solutions generated by a Runge-Kutta method applied to a dynamical system whose analytical solution undergoes a Hopf bifurcation is investigated. Hopf bifurcation results for the numerical solution are presented and analysed. (c) 2008 Elsevier Inc. All rights reserved.

引用

页码：346 / 356

页数：11

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