Power Spectral Analysis of a Dynamical System

James P. Crutchfield
D. Farmer
N. Packard
R. Shaw

Physics Department
University of California
Santa Cruz, CA 95064, USA

G. Jones
R. J. Donnelly

Department of Physics
University of Oregon
Eugene, OR 97403, USA

ABSTRACT: Power spectra for chaotic transitions in three dimensions are presented for a dynamical system first proposed by Rossler. Relations between the spectra and the topology of the corresponding strange attractor are discussed.

J. P. Crutchfield, J. D. Farmer, N. H. Packard, R. S. Shaw, G. Jones, R. Donnelly. "Power Spectral Analysis of a Dynamical System." Phys. Lett. 76A 1980: 1-4. [pdf]