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.
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收藏
页码：346 / 356
页数：11
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