Communications - Scientific Letters of the University of Zilina 2015, 17(3):83-87 | DOI: 10.26552/com.C.2015.3.83-87

Oscillators Near Hopf Bifurcation

Helena Samajova1, Tongxing Li2
1 Department of Appl. Mathematics, Faculty of Mechanical Engineering, University of Zilina, Slovakia
2 School of Control Science and Engineering, Shandong University, Jinan, China

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.

Keywords: oscillators; systems of ordinary differential equations; differential transformation method

Published: August 31, 2015  Show citation

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Samajova, H., & Li, T. (2015). Oscillators Near Hopf Bifurcation. Communications - Scientific Letters of the University of Zilina, 17(3), 83-87. doi: 10.26552/com.C.2015.3.83-87
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