1. Burtsing phenomena and analogies in neurodynamics
COST ACTION B27
“ELECTRIC NEURONAL OSCILLATIONS AND COGNITION (ENOC)”
September 2006
Swansea University
Burtsing phenomena and analogies in neurodynamics
Riccardo Meucci
Instituto Nazionale di Ottica applicata
Italy

2. 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

3. Hindmarsh-Rose 3-equation model for neuronal bursting
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
(homoclinic chaos)
Non-autonomous
(crisis-induced intermittency)

4. Autonomous bursting in a C02 laser
R. Meucci, A. Di Garbo, E. Allaria, and F. T. Arecchi, Phys. Rev. Lett. 88, (2002)
EXPERIMENTAL SETUP nc
nc=100 Hz
nc=300 Hz

5. Non-autonomous bursting in a CO2 laser
R. Meucci, E. Allaria, F. Salvadori, and F. T. Arecchi, PRL 95, (2005)
EXPERIMENTAL SETUP
f=100 kHz
interior crisis

6. Crisis-induced intermittency (bursting)

7. Numerical analysis
P3 (A=0.05)
bistable region
P4 (A=0.05)

8. Numerical analysis
boundary crisis
interior crisis

9. Control of bursting (closed loop)
EXPERIMENTAL SETUP
negative feedback

10. Control of bursting (closed loop)
EXPERIMENTAL SETUP
positive feedback

11. Control of bursting (open loop)
S. Zambrano, I. P. Mariňo, F. Salvadori, R. Meucci, M. A. F. Sanjuàn, and F. T. Arecchi, PRE 74, (2006)
EXPERIMENTAL SETUP
fc = f / 2, f=p

12. 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)

13. Time evolution of the lasers (1)
no couplig (e=0)

14. Time evolution of the lasers (2)
with couplig (e=0.05)

15. ISI distributions Auto-correlation (single laser)
Cross-correlation (two lasers)

16. Anti-phase behaviour

17. Conclusions
Analogies between neuronal bursting and class-B lasers dynamics.
CO2 laser: autonoumous and non-autonomous (crisi-induced 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 of synchronization inside the bursts.