Reconstruction of Bifurcation Diagrams Using Time-Series Data Generated by Electronic Circuits of the Rossler Equations

Yoshitaka Itoh; Masaharu Adachi

Summary

International Symposium on Nonlinear Theory and its Applications

2017

Session Number:B1L-E

Session:

Number:B1L-E-1

Reconstruction of Bifurcation Diagrams Using Time-Series Data Generated by Electronic Circuits of the Rossler Equations

Yoshitaka Itoh, Masaharu Adachi,

pp.439-442

Publication Date:2017/12/4

Online ISSN:2188-5079

DOI:10.34385/proc.29.B1L-E-1

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Summary:

We describe how to reconstruct bifurcation diagrams from time-series data generated by electronic circuits. The reconstructed bifurcation diagrams are estimates of the oscillatory patterns of the time series when the system parameters are changed. Bifurcation-diagram reconstruction could be used for parametric engineering and physical systems in the real world. In this study, we show that bifurcation diagrams can be reconstructed from time-series data generated by an electronic circuit of the Rossler equations. In addition, we estimate the Lyapunov exponents of the reconstructed bifurcation diagrams.