Parallel Numerical Creation of 2-parametric Bifurcation Diagram of Nonlinear Oscillators

Authors

  • Flóra Hajdu Széchenyi István University, Department of Mechatronics and Machine Design, Egyetem tér 1, 9026 Győr, Hungary

DOI:

https://doi.org/10.14513/actatechjaur.v11.n2.453

Keywords:

parallel computing, bifurcation diagram, numerical analysis, nonlinear oscillator, Maple

Abstract

This paper presents the numerical creation of 2-parametric bifurcation diagrams of nonlinear oscillators with a simple iterative algorithm, which can be easily parallelized. The parallel algorithm was tested with two simple well-known nonlinear oscillators, the Van der Pol oscillator and the Duffing-Holmes oscillator. It was examined how the resolution (number of iterations) affects the speedup and the efficiency. The test results show that a relative good speed up with a good efficiency could be achieved even using a simple desktop.

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Published

2018-07-23

How to Cite

Hajdu, F. (2018). Parallel Numerical Creation of 2-parametric Bifurcation Diagram of Nonlinear Oscillators. Acta Technica Jaurinensis, 11(2), pp. 61–83. https://doi.org/10.14513/actatechjaur.v11.n2.453

Issue

Section

Information Technology and Electrical Engineering