We introduce a class of systems with multiple, hierarchically long time delays, and using a suitable space-time representation we uncover features otherwise hidden in their temporal dynamics. Erratic behaviour in the case of two delays is shown to ”encode” two-dimensional spiral defects and defects turbulence.
A multiple scale analysis sets the equivalence to a complex Ginzburg-Landau equation.
We also demonstrate this phenomenon for a semiconductor laser with two delayed optical feedbacks.
This is a joint result with G. Giacomelli.
Coffee and cookies will be served 15 minutes before the start of the seminar
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