Burtsing phenomena and analogies in neurodynamics 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
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)
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 (A=0.05) bistable region P4 (A=0.05)
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
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.