Analyzing time-delay feedback systems

Year: 2001

Authors: Hegger R., Bunner M.J., Ciofini M., Giaquinta A., Kantz H., Meucci R., Politi A.

Autors Affiliation: Max Planck Inst Phys Komplexer Syst, Nothnitzer Str 38, D-01187 Dresden, Germany; Istituto Nazionale di Ottica, Largo E. Fermi 6, 50125 Firenze, Italy

Abstract: We present a method to analyse time delay feedback system. The advantage of this method, compared to other tools in time series analysis, is that it does not depend on the dimension of the chaotic attractor of the system. It solely depends on the dimensionality of the equations of motion. Therefore, even very high-dimensional attractors can be investigated using an embedding procedure that allows to work in embedding spaces whose dimensions are considerably smaller than the attractor dimension.

Conference title: 5th Experimental Chaos Conference
Place: Orlando FL

KeyWords: chaotic dynamics; series; recovery; laser;
DOI: 10.1142/9789812811516_0005