Spectral Structure and Universality of Intermittent Chaos
- 1 January 1985
- journal article
- Published by IOP Publishing in Physica Scripta
- Vol. T9 (T9), 27-34
- https://doi.org/10.1088/0031-8949/1985/t9/003
Abstract
A time series of intermittent chaos is changed by bursts suddenly, and its amplitude and phase jump randomly. Between the bursts, the time series oscillates with slow amplitude modulations. Thus the time series is a random sequence of periodic states with different lifetimes, amplitude modulations and phase shifts. Such time series are observed in various systems extending from the pendulum driven by a periodic force to the Bénard convection of fluids. This universality is quantitatively represented by an inverse-power law of the envelope of equally-spaced Lorentzian lines in the power spectrum of the time series near the onset point. The exponents of the separation and widths of the Lorentzian lines are determined within a mean-field framework.Keywords
This publication has 18 references indexed in Scilit:
- Correlations and spectra of an intermittent chaos near its onset pointJournal of Statistical Physics, 1984
- Shapes of the Power Spectrum of Intermittent Turbulence near Its Onset PointProgress of Theoretical Physics, 1984
- Studies of the intermittent-type chaos in ac- and dc-driven Josephson junctionsPhysical Review B, 1984
- Intermittent Chaos in Josephson JunctionsPhysical Review Letters, 1982
- Universality and the power spectrum at the onset of chaosPhysical Review B, 1981
- Power Spectra of Strange AttractorsPhysical Review Letters, 1981
- Intermittent behaviour in the Belousov-Zhabotinsky reactionJournal de Physique Lettres, 1981
- Intermittency in Rayleigh-Bénard convectionJournal de Physique Lettres, 1980
- The onset spectrum of turbulencePhysics Letters A, 1979
- Quantitative universality for a class of nonlinear transformationsJournal of Statistical Physics, 1978