NUMERICAL STUDY ON THE STABILITY OF TAKENS-BOGDANOV SYSTEMS

Authors

  • Tulus Tulus

Keywords:

Takens-Bogdanov Equations, Runge-Kutta Method, bifurcations

Abstract

This paper presents the results of a research performed on a Takens-Bogdanov equation. The objective is to find the dynamics of the solution with deal to prescribed initial conditions. A fifth order Runge-Kutta method is used, and applied to two cases, i.e. for μ$_{1}$ > 0 and μ$_{1}$ < 0. In the first case, there is no fixed point found. On the other hand, in the second one, there are two fixed points, a stable fixed point and an unstable fixed point.

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Published

2018-01-16

How to Cite

1.
Tulus T. NUMERICAL STUDY ON THE STABILITY OF TAKENS-BOGDANOV SYSTEMS. SCRIPTA SCORE Sci Med J. [Internet]. 2018Jan.16 [cited 2024Jul.22];4(01):17-24. Available from: https://talenta.usu.ac.id/scripta/article/view/34

Issue

Vol. 4 No. 01 (2012): Bulletin of Mathematics

Section

Articles

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