Correlations and spectra of strange nonchaotic attractors
- 7 August 1994
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 27 (15) , 5209-5219
- https://doi.org/10.1088/0305-4470/27/15/020
Abstract
We consider correlations and spectra of strange nonchaotic attractors in quasiperiodically driven nonlinear systems. It is demonstrated that a self-similar autocorrelation function and a singular continuous spectrum may be observed in such systems. The properties of correlations and spectra depend very subtly on the rotation number of the quasiperiodic force and on the parameters of the system, for some parameter values the usual discrete spectrum is restored.Keywords
This publication has 13 references indexed in Scilit:
- The birth of strange nonchaotic attractorsPhysica D: Nonlinear Phenomena, 1994
- Observation of a strange nonchaotic attractor in a multistable potentialPhysical Review A, 1992
- Experimental observation of a strange nonchaotic attractorPhysical Review Letters, 1990
- Route to chaos via strange non-chaotic attractorsJournal of Physics A: General Physics, 1990
- Dimensions of strange nonchaotic attractorsPhysics Letters A, 1989
- Evolution of attractors in quasiperiodically forced systems: From quasiperiodic to strange nonchaotic to chaoticPhysical Review A, 1989
- A Structure Intermediate Between Quasi-Periodic and RandomEurophysics Letters, 1987
- Quasiperiodicity and types of order; a study in one dimensionJournal of Physics A: General Physics, 1987
- Quasiperiodically forced dynamical systems with strange nonchaotic attractorsPhysica D: Nonlinear Phenomena, 1987
- Strange attractors that are not chaoticPhysica D: Nonlinear Phenomena, 1984