Oscillators Near Hopf Bifurcation
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 i...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
University of Žilina
2015-08-01
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| Series: | Communications |
| Subjects: | |
| Online Access: | https://komunikacie.uniza.sk/artkey/csl-201503-0014_oscillators-near-hopf-bifurcation.php |
| Summary: | 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. |
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| ISSN: | 1335-4205 2585-7878 |