NUMERICAL TREATMENT OF EDUCATIONAL CHAOS OSCILLATOR

Arunas Tamasevicius,Tatjana Pyragiene,Kȩstutis Pyragas,Skaidra Bumelienė,Mantas Meškauskas

NUMERICAL TREATMENT OF EDUCATIONAL CHAOS OSCILLATOR

2007

Arunas Tamasevicius
Tatjana Pyragiene
Kȩstutis Pyragas
Skaidra Bumelienė
Mantas Meškauskas

A mathematical model of a recently suggested chaos oscillator for educational purposes is treated and numerical results are presented. Bifurcation diagrams, phase portraits, power spectra, Lyapunov exponents are simulated. In addition, the Feigenbaum number is estimated.

Keywords:

Mathematics
Mathematical analysis
Lyapunov exponent
Feigenbaum constants
Electrical network
Statistical physics
Oscillation
Phase portrait
Bifurcation

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