Influence of noise on periodic attractors in the Lorenz model: Zero-frequency spectral peaks and chaos
- 1 August 1992
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 46 (4) , 1769-1774
- https://doi.org/10.1103/physreva.46.1769
Abstract
The influence of weak external noise on the Lorenz model has been studied in parameter ranges where it is characterized by pairs of nonsymmetrical periodic attractors. The investigations, based on electronic analog and digital techniques, have shown that the noise can give rise to pronounced zero-frequency spectral peaks of complicated shape and to chaos.Keywords
This publication has 15 references indexed in Scilit:
- Noise-induced instabilityPhysical Review A, 1990
- Noise effects in a nonlinear dynamic system: The rf superconducting quantum interference devicePhysical Review A, 1990
- Power spectra of the stochastically forced Duffing oscillatorPhysics Letters A, 1990
- Reaction-rate theory: fifty years after KramersReviews of Modern Physics, 1990
- Spectral density of fluctuations of a double-well Duffing oscillator driven by white noisePhysical Review A, 1988
- Power spectra of strange attractors near homoclinic orbitsPhysical Review Letters, 1987
- Eigenvalues and eigenfunctions of the Fokker-Planck equation for the extremely underdamped Brownian motion in a double-well potentialJournal of Statistical Physics, 1985
- Spectral distribution of a nonlinear oscillator performing Brownian motion in a double-well potentialPhysica A: Statistical Mechanics and its Applications, 1985
- Solutions of the Fokker-Planck equation for a double-well potential in terms of matrix continued fractionsJournal of Statistical Physics, 1985
- Hopping Mechanism GeneratingNoise in Nonlinear SystemsPhysical Review Letters, 1982