THE EFFECT OF NONLINEAR DAMPING TO A DYNAMICAL SYSTEM WITH CENTER PHASE PORTRAIT

Authors

  • Kus Prihantoso Krisnawan
  • Husna Arifah

DOI:

https://doi.org/10.21831/jsd.v4i1.8439

Abstract

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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Published

2016-04-13

How to Cite

[1]
Krisnawan, K.P. and Arifah, H. 2016. THE EFFECT OF NONLINEAR DAMPING TO A DYNAMICAL SYSTEM WITH CENTER PHASE PORTRAIT. Jurnal Sains Dasar. 4, 1 (Apr. 2016). DOI:https://doi.org/10.21831/jsd.v4i1.8439.

Issue

Vol. 4 No. 1 (2015): April 2015

Section

Articles

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