PERIODIC MOTION AT RESONANCE IN SEMICONDUCTOR LASER EQUATIONS

Parallel Computing of Semiconductor Laser Equations

Parallel Hopscotch's and implicit, linearized-methods have been developed to solve the two{dimensional equations of multi{striped semiconductor lasers. For the latter, a BiCGSTAB algorithm has been used and, in both methods, an eecient technique which overlaps the communications and the computations has been developed. Such a technique also reduces the number of messages to be communicated to o...

Ghost Resonance in a Semiconductor Laser with Optical Feedback

J.M. Buld u, Dante R. Chialvo, Claudio R. Mirasso, M.C. Torrent, and J. Garc a-Ojalvo, Departament de F sica i Enginyeria Nuclear, Universitat Polit ecnica de Catalunya, Colom 11, E-08222 Terrassa, Spain Departament de F sica, Universitat de les Illes Balears, E-07071 Palma de Mallorca, Spain 3 Department of Physiology, Northwestern University, Chicago, Illinois, 60611, USA 4 Center for Studies...

Resonance in Undamped Second-order Nonlinear Equations with Periodic Forcing

where g and p are real valued functions continuous on the reals R , p(t+2n) = p(t), and the solutions of (1) are uniquely determined by their initial conditions. If g is nonlinear, the question of whether all solutions of (1) are bounded on R has long been recognized as nontrivial and challenging. For the special case of g(x) = 2x Morris [1] was able to show that this question has an affirmativ...

Bifurcation of Periodic Delay Differential Equations at Points of 1:4 Resonance

BIFURCATION OF PERIODIC DELAY DIFFERENTIAL EQUATIONS AT POINTS OF 1:4 RESONANCE ∗ G. RÖST † Abstract. The time-periodic scalar delay differential equation ẋ(t) = γf(t, x(t − 1)) is considered, which leads to a resonant bifurcation of the equilibrium at critical values of the parameter. Using Floquet theory, spectral projection and center manifold reduction, we give conditions for the stability ...

Multiple Periodic Solutions for Difference Equations with Double Resonance at Infinity