Resonances for intermittent systems
- 1 February 1989
- journal article
- Published by IOP Publishing in Nonlinearity
- Vol. 2 (1), 119-135
- https://doi.org/10.1088/0951-7715/2/1/007
Abstract
There is increasing theoretical and numerical evidence that for many interesting dynamical systems the power spectrum of an observable A extends to a meromorphic function in the complex frequency plane. The position of the complex poles or 'resonances' is independent of the observable A which is monitored. The authors study the resonances for intermittent dynamical systems by using a probabilistic independence assumption about recurrence times. A close agreement between theory and numerical experiments is obtained.Keywords
This publication has 8 references indexed in Scilit:
- Resonances in chaotic dynamicsCommunications in Mathematical Physics, 1988
- Resonances for Axiom ${\bf A}$ flowsJournal of Differential Geometry, 1987
- One-dimensional Gibbs states and Axiom A diffeomorphismsJournal of Differential Geometry, 1987
- Global Spectral Structures of Intermittent ChaosProgress of Theoretical Physics, 1986
- On the rate of mixing of Axiom A flowsInventiones Mathematicae, 1985
- Spectral Structure and Universality of Intermittent ChaosPhysica Scripta, 1985
- Intermittent transition to turbulence in dissipative dynamical systemsCommunications in Mathematical Physics, 1980
- Deterministic Nonperiodic FlowJournal of the Atmospheric Sciences, 1963