M. Radziunas. Physica D, 213 (1):
98--112(January 2006)The traveling wave model consisting of a hyperbolic system of linear first order PDE's nonlinearly coupled with a system of ODE's is used to model the dynamics of multisection semiconductor lasers. It is shown how low dimensional systems of ODE's based on the projection of the original system into the subspace spanned only by a few instantaneously changing spectral elements allow a precise approximation of the original model. The constructed low dimensional Mode Approximation systems are accessible to classical bifurcation analysis and numerical tools. The presented method is applied to characterise quasi-periodic orbits arising in a three section distributed feedback laser. The obtained results are highly important for tailoring such pulsating lasers to be applied in optical communication systems..
T. Kreuz, S. Luccioli, and A. Torcini. Neurocomputing, 70 (10-12):
1970--1976(June 2007)We study the regularity of noise-induced excitations in the FitzHugh-Nagumo (FHN) neuronal model subject to excitatory and inhibitory high-frequency input with and without correlations. For each value of the correlation a relative maximum of spike coherence can be observed for intermediate noise strengths (coherence resonance). Moreover, the FHN system exhibits an absolute maximum of coherent spiking for intermediate values of both the noise amplitude and the strength of correlation (double coherence resonance). The underlying mechanisms can be explained by means of the discrete input statistics..
K. Boehringer, and O. Hess. Numerical Simulation of Optoelectronic Devices, 2005. NUSOD '05. Proceedings of the 5th International Conference on, (2005)