Identifikasi bifurkasi kodimensi-2 pada sistem flutter dengan menggunakan kriteria Routh

Hartono Hartono,
Kus Prihantoso Krisnawan,

Abstract


In this paper, the codimension-2 bifurcation of a 2-parameter flutter system is identified using Routh’s criterion. Routh’s criterion is a tool to determine the number of roots of a real polynomial in the right half-plane. Based on this criterion, the regions borders of each parameter are determined in order to make the roots of flutter system characteristic equation have negative or positive real parts. A point is taken from each region and the phase portraits of the system are drawn. Based on the Routh’s table and the phase portraits, different dynamical structure that showing a pitchfork-hopf bifurcation is acquired.

Key words: pitchfork-hopf bifurcation, flutter system, Routh’s criterion


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DOI: https://doi.org/10.21831/jsd.v3i1.2779

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Printed ISSN (p-ISSN): 2085-9872
Online ISSN (e-ISSN): 2443-1273

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