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

Journal Title: Acta Technica Jaurinensis - Year 2018, Vol 11, Issue 2

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.

Authors and Affiliations

Flóra Hajdu

Keywords

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

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 sim...

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  • EP ID EP630716
  • DOI 10.14513/actatechjaur.v11.n2.453
  • Views 184
  • Downloads 0

How To Cite

Flóra Hajdu (2018). Parallel Numerical Creation of 2-parametric Bifurcation Diagram of Nonlinear Oscillators. Acta Technica Jaurinensis, 11(2), 61-83. https://europub.co.uk/articles/-A-630716