Thermo-optical "canard orbits" and excitable limit cycles.

We demonstrate experimentally and theoretically the existence of canard orbits and excitable quasiharmonic limit cycles in the thermo-optical dynamics of semiconductor optical amplifiers. We also observe the phase locking of the noise-induced spikes to the small-amplitude Hopf quasiharmonic oscillations, recently predicted by Makarov, Nekorkin, and Velarde [Phys. Rev. Lett. 86, 3431 (2001)]].

[1]  J Kurths,et al.  Oscillatory amplification of stochastic resonance in excitable systems. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[2]  Gabriel B. Mindlin,et al.  LOW-FREQUENCY FLUCTUATIONS IN SEMICONDUCTOR LASERS WITH OPTICAL FEEDBACK ARE INDUCED WITH NOISE , 1998 .

[3]  J. Kurths,et al.  Coherence Resonance in a Noise-Driven Excitable System , 1997 .

[4]  Jorge R. Tredicce,et al.  Optical excitable waves , 1998 .

[5]  Salvador Balle,et al.  Experimental evidence of van der Pol-Fitzhugh-Nagumo dynamics in semiconductor optical amplifiers. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[6]  Hitoshi Kawaguchi,et al.  Bistabilities and Nonlinearities in Laser Diodes , 1994 .

[7]  E. Abraham.  Modelling of regenerative pulsations in an InSb etalon , 1987 .

[8]  V I Nekorkin,et al.  Spiking behavior in a noise-driven system combining oscillatory and excitatory properties. , 2001, Physical review letters.

[9]  Salvador Balle,et al.  Experimental evidence of stochastic resonance in an excitable optical system. , 2002, Physical review letters.

[10]  Wiesenfeld,et al.  Stochastic resonance on a circle. , 1994, Physical review letters.

[11]  Richardson,et al.  Spatiotemporal oscillations in a semiconductor étalon. , 1993, Physical review. A, Atomic, molecular, and optical physics.

[12]  Maciej Bugajski,et al.  Physics of semiconductor lasers , 1991 .

[13]  M. Lefranc,et al.  Self-pulsing instabilities in an optical parametric oscillator: Experimental observation and modeling of the mechanism , 2000 .

[14]  Frisch,et al.  Spiral waves in liquid crystal. , 1994, Physical review letters.

[15]  H. Kramers.  Brownian motion in a field of force and the diffusion model of chemical reactions , 1940 .

[16]  V. Krinsky.  Self-Organization Autowaves and Structures Far from Equilibrium , 1984 .

[17]  R. Mishra,et al.  Self-Organization , 2021, Encyclopedic Dictionary of Archaeology.

[18]  Giovanni Giacomelli,et al.  Andronov bifurcation and excitability in semiconductor lasers with optical feedback , 1997 .

[19]  R. FitzHugh.  Impulses and Physiological States in Theoretical Models of Nerve Membrane. , 1961, Biophysical journal.

[20]  S. Yoshizawa,et al.  An Active Pulse Transmission Line Simulating Nerve Axon , 1962, Proceedings of the IRE.

[21]  Giacomelli,et al.  Experimental evidence of coherence resonance in an optical system , 2000, Physical review letters.