Transcript Chaos Synchronization in Modulated Lasers

COST ACTION B27
“ELECTRIC NEURONAL OSCILLATIONS AND COGNITION (ENOC)”
16 - 18 September 2006
Swansea University
Burtsing phenomena and
analogies in neurodynamics
Riccardo Meucci
Instituto Nazionale di Ottica applicata
Italy
Outline of presentation
Introduction
Autonomous bursting in a CO2 laser
Bursting or crisis-induced intermittency in a
modulated CO2 laser
Control and synchronization of bursting
Conclusions
Introduction
BURSTING: Switching between rest state and oscillation state
Hindmarsh-Rose 3-equation model for
neuronal bursting
oscillations
rest state
Two similar scenarios in class-B laser dynamics
Autonomous
Non-autonomous
(homoclinic chaos)
(crisis-induced intermittency)
Autonomous bursting in a C02 laser
R. Meucci, A. Di Garbo, E. Allaria, and F. T. Arecchi, Phys. Rev. Lett. 88, 144101 (2002)
EXPERIMENTAL SETUP
nc
nc=100 Hz
nc=300 Hz
Non-autonomous bursting in a CO2 laser
R. Meucci, E. Allaria, F. Salvadori, and F. T. Arecchi, PRL 95, 184101 (2005)
EXPERIMENTAL SETUP
f=100 kHz
interior crisis
Crisis-induced intermittency (bursting)
Numerical analysis
P3
bistable
region
(A=0.05)
x1 (0)  4.3110-1
P4
(A=0.05)
x1 (0)  4.3110-3
Numerical analysis
boundary
crisis
interior
crisis
Control of bursting (closed loop)
EXPERIMENTAL SETUP
negative feedback
Control of bursting (closed loop)
EXPERIMENTAL SETUP
positive feedback
Control of bursting (open loop)
S. Zambrano, I. P. Mariňo, F. Salvadori, R. Meucci, M. A. F. Sanjuàn, and F. T. Arecchi, PRE 74, 016202 (2006)
EXPERIMENTAL SETUP
fc = f / 2, f=p
Bidirectionally coupled modulated lasers
R. Meucci, F. Salvadori, M. Ivanchenko, C. Zhou, K. Al Naimee, S. Boccaletti, and F. T. Arecchi, to be submitted
EXPERIMENTAL SETUP
coupling (e)
Time evolution of the lasers (1)
no couplig (e=0)
Time evolution of the lasers (2)
with couplig (e=0.05)
ISI distributions
Auto-correlation (single laser)
Cross-correlation (two lasers)
Anti-phase behaviour
t  Tmod
f  2p
Conclusions
Analogies between neuronal bursting and class-B
lasers dynamics.
CO2 laser: autonoumous and non-autonomous (crisiinduced intermittency) bursting.
Control of bursting: closed loop and open loop
methods. Phase effects of the applied perturbation.
Frequency synchronization of two different CO2 lasers
in a bursting regime and inhibitory nature
synchronization inside the bursts.
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