Oscillators Near Hopf Bifurcation
Keywords:
oscillators, systems of ordinary differential equations, differential transformation method
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.
Published
2015-08-31
How to Cite
Samajova, H., & Li, T. (2015). Oscillators Near Hopf Bifurcation. Communications - Scientific Letters of the University of Zilina, 17(3), 83-87. Retrieved from http://journals.uniza.sk/index.php/communications/article/view/452
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Section
Articles
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