Asymmetry Coefficients as Indicators of Chaos: Hyperchaotic Qi System
P. Wąża and D. Bielińska-Wążb
aCentrum Astronomii, Uniwersytet Mikołaja Kopernika, Gagarina 11, 87-100 Toruń, Poland
bInstytut Fizyki, Uniwersytet Mikołaja Kopernika, Grudziądzka 5, 87-100 Toruń, Poland
Received: October 31, 2012
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Statistical properties of the hyperchaotic Qi system are studied. The theory, recently formulated and applied for the damped driven pendulum, is used in this investigation. Asymmetry coefficients, related to the statistical moments of distributions composed from the time-series, are shown to behave in a different way for periodic, chaotic and hyperchaotic solutions and are proposed as indicators of chaos and hyperchaos.

DOI: 10.12693/APhysPolA.123.647
PACS numbers: 02.70.Rr, 95.10.Fh, 05.45.-a, 05.45.Gg, 05.45.Tp