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.

Two-dimensional representation of a delayed dynamical system

Arecchi F. T.;Giacomelli G.;Lapucci A.;Meucci R.
1992

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.
1992
Istituto Nazionale di Ottica - INO
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.14243/124437
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