Work

Relation between delayed feedback and delay-coupled systems and its application to chaotic lasers

Year: 2013

Type: article

Abstract: We present a systematic approach to identify the similarities and differences between a chaotic system with delayed feedback and two mutually delay-coupled systems. We consider the general case in which the coupled systems are either unsynchronized or in a generally synchronized state, in contrast to the mostly studied case of identical synchronization. We construct a new time-series for each of the two coupling schemes, respectively, and present analytic evidence and numerical confirmation that these two constructed time-series are statistically equivalent. From the construction, it then follows that the distribution of time-series segments that are small compared to the overall delay in the system is independent of the value of the delay and of the coupling scheme. By focusing on numerical simulations of delay-coupled chaotic lasers, we present a practical example of our findings.

Source: Chaos An Interdisciplinary Journal of Nonlinear Science

DOI: 10.1063/1.4844335

Authors: Miguel C. Soriano, Valentin Flunkert, Ingo Fischer

Institutions: Consejo Superior de Investigaciones Científicas, Institute for Cross-Disciplinary Physics and Complex Systems, Universitat de les Illes Balears

Language: English

Topic: Chaos control and synchronization

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: bronze

Funders: European Commission, Deutscher Akademischer Austauschdienst, Ministerio de Ciencia e Innovación

Awards: towards a PHOtonic liquid state machine based on delay-CoUpled Systems, G4874788634