Two-dimensional representation of a delayed dynamical system

Year: 1992

Authors: Arecchi F.T., Giacomelli G., Lapucci A., Meucci R.

Autors Affiliation: Istituto Nazionale di Ottica, Largo Enrico Fermi 6, 50125 Firenze, Italy

Abstract: A nonlinear system with delayed feedback, whenever the delay time is much longer than the intrinsic correlation time, displays two widely separated time scales. In such a case, a two-dimensional representation becomes appropriate, because it discloses features otherwise hidden in the one-dimensional sequence of data, and allows use of recognition algorithms developed for spatiotemporal chaos. As an illustration, chaotic time sequences from a single-mode laser with delayed feedback are analyzed using this representation.

Journal/Review: PHYSICAL REVIEW A

Volume: 45(7)      Pages from: R4225  to: R4228

KeyWords: Spatiotemporal chaos; Shilnikov chaos
DOI: 10.1103/PhysRevA.45.R4225

Citations: 129
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