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

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...

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Main Authors: Kus Prihantoso Kurniawan, Husna Arifah
Format: Article
Language:Indonesian
Published: Universitas Negeri Yogyakarta 2016-04-01
Series:Jurnal Sains Dasar
Online Access:http://journal.uny.ac.id/index.php/jsd/article/view/8439
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spelling doaj-3bbc5fe6fae54ce2a02d72ea57f8cb332020-11-24T23:19:48ZindUniversitas Negeri YogyakartaJurnal Sains Dasar2085-98722443-12732016-04-01416793THE EFFECT OF NONLINEAR DAMPING TO A DYNAMICAL SYSTEM WITH CENTER PHASE PORTAITKus Prihantoso KurniawanHusna ArifahThis 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 solutionhttp://journal.uny.ac.id/index.php/jsd/article/view/8439
collection DOAJ
language Indonesian
format Article
sources DOAJ
author Kus Prihantoso Kurniawan
Husna Arifah
spellingShingle Kus Prihantoso Kurniawan
Husna Arifah
THE EFFECT OF NONLINEAR DAMPING TO A DYNAMICAL SYSTEM WITH CENTER PHASE PORTAIT
Jurnal Sains Dasar
author_facet Kus Prihantoso Kurniawan
Husna Arifah
author_sort Kus Prihantoso Kurniawan
title THE EFFECT OF NONLINEAR DAMPING TO A DYNAMICAL SYSTEM WITH CENTER PHASE PORTAIT
title_short THE EFFECT OF NONLINEAR DAMPING TO A DYNAMICAL SYSTEM WITH CENTER PHASE PORTAIT
title_full THE EFFECT OF NONLINEAR DAMPING TO A DYNAMICAL SYSTEM WITH CENTER PHASE PORTAIT
title_fullStr THE EFFECT OF NONLINEAR DAMPING TO A DYNAMICAL SYSTEM WITH CENTER PHASE PORTAIT
title_full_unstemmed THE EFFECT OF NONLINEAR DAMPING TO A DYNAMICAL SYSTEM WITH CENTER PHASE PORTAIT
title_sort effect of nonlinear damping to a dynamical system with center phase portait
publisher Universitas Negeri Yogyakarta
series Jurnal Sains Dasar
issn 2085-9872
2443-1273
publishDate 2016-04-01
description 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
url http://journal.uny.ac.id/index.php/jsd/article/view/8439
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AT husnaarifah theeffectofnonlineardampingtoadynamicalsystemwithcenterphaseportait
AT kusprihantosokurniawan effectofnonlineardampingtoadynamicalsystemwithcenterphaseportait
AT husnaarifah effectofnonlineardampingtoadynamicalsystemwithcenterphaseportait
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