Influence of noise on periodic attractors in the Lorenz model: Zero-frequency spectral peaks and chaos

I. I. Fedchenia; R. Mannella; P. V. E. McClintock; N. D. Stein; N. G. Stocks

doi:10.1103/PhysRevA.46.1769

Influence of noise on periodic attractors in the Lorenz model: Zero-frequency spectral peaks and chaos

I. I. Fedchenia, R. Mannella, P. V. E. McClintock, N. D. Stein, and N. G. Stocks

Phys. Rev. A 46, 1769 – Published 1 August 1992

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.