THE EFFECT OF NONLINEAR DAMPING TO A DYNAMICAL SYSTEM WITH CENTER PHASE PORTAIT
This paper discusses the effect of nonlinear damping to a 2-dimesional system that has center phase portrait. The phase portraits of the damped system are drawn for 3 different values of parameter. These phase portraits stand as the numerical proof of phase portrait change. To prove the change anali...
| Main Authors: | , |
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| Format: | Article |
| Language: | Indonesian |
| Published: |
Universitas Negeri Yogyakarta
2016-04-01
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| Series: | Jurnal Sains Dasar |
| Online Access: | http://journal.uny.ac.id/index.php/jsd/article/view/8439 |
| Summary: | This paper discusses the effect of nonlinear damping to a 2-dimesional system that has center phase portrait. The phase portraits of the damped system are drawn for 3 different values of parameter. These phase portraits stand as the numerical proof of phase portrait change. To prove the change analiticaly, we use the theorem that guarantee the existence of periodic solution. The result shows that nonlinear damping changes the phase portrait topologically. It means that the system undergoes a generalized Hopf bifurcation.
Keywords: generalized Hopf bifurcation, center phase portrait, periodic solution |
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| ISSN: | 2085-9872 2443-1273 |