Laurent Larger1, M. Peil1, I.
Fischer2, M. Jacquot1
1 Institut FEMTO-ST, Besançon, France
2 Heriot-Watt University, Edinburgh, Scotland, U.K.
The integro-differential delay
electro-optic oscillator: new dynamical features
and robust generalized synchronization capabilities with a delay shared
feedback coupling
We will report on various, and recent, experimental
results obtained with optoelectronic delay feedback oscillators,
involving high
speed integrated electro-optic LiNbO3 modulators. Initially developed
for
investigating the rich and numerous dynamical features of scalar
nonlinear
delay dynamics (Ikeda-like dynamics), they have been then used for
applications
to chaos based communication systems. Versatility and robustness of the
setup
lead, during parallel more fundamental investigations, to the
development of
new dynamical configurations. The latter are concerned on one hand by a
modified dynamical process (from a first order differential one, to a
second
order integro-differential process), and on another hand by a
particular bidirectional
coupling configuration between two identical such oscillators. We will
thus
report both on new dynamical phenomena originating from three
widespread (6
orders of magnitude) characteristic time scales of the system, as well
as on
the recently demonstrated robust generalized synchronization properties
of two
such electro-optic oscillators, that are subjected to a delay shared
feedback
coupling.