Oscillators Near Hopf Bifurcation
Oscillators Near Hopf Bifurcation
Author(s): Helena Samajova, Tongxing LiSubject(s): Energy and Environmental Studies, Methodology and research technology
Published by: Žilinská univerzita v Žilině
Keywords: oscillators; systems of ordinary differential equations; differential transformation method;
Summary/Abstract: In this paper the differential transformation method (DTM) is employed to solve a system of linear differential equations derived for energy optimal control theory and nonlinear differential equations and their systems for oscillators near Hopf bifurcation. They are given by differential equations in a complex plane. Different types of forced terms are considered. The approximate solutions are given in the form of series with required accuracy. Some numerical examples are provided.
Journal: Komunikácie - vedecké listy Žilinskej univerzity v Žiline
- Issue Year: 17/2015
- Issue No: 3
- Page Range: 83-87
- Page Count: 5
- Language: English