Asymmetry Coefficients as Indicators of Chaos: Hyperchaotic Qi System

• Authors: P. Wąż , D. Bielińska-Wąż
• Languages of publication: EN

Abstracts

EN

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.

Keywords

EN

02.70.Rr; 95.10.Fh; 05.45.-a; 05.45.Gg; 05.45.Tp

Discipline

• 05.45.-a: Nonlinear dynamics and chaos(see also section 45 Classical mechanics of discrete systems; for chaos in fluid dynamics, see 47.52.+j; for chaos in superconductivity, see 74.40.De)
• 05.45.Gg: Control of chaos, applications of chaos
• 05.45.Tp: Time series analysis
• 95.10.Fh: Chaotic dynamics(see also 05.45.-a Nonlinear dynamics and chaos)
• 02.70.Rr: General statistical methods

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2013
• Volume: 123
• Issue: 4
• Pages: 647-650

Dates

published

2013-04

received

2012-1-031

Contributors

author

P. Wąż

• Centrum Astronomii, Uniwersytet Mikołaja Kopernika, Gagarina 11, 87-100 Toruń, Poland

author

D. Bielińska-Wąż

• Instytut Fizyki, Uniwersytet Mikołaja Kopernika, Grudziądzka 5, 87-100 Toruń, Poland

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Identifiers

DOI

10.12693/APhysPolA.123.647