Stability of bifurcating periodic orbits: an application to laser equations

• Mario Cosenza Universidad de Los Andes-Venezuela
• Javier González Estévez Universidad Nacional Experimental del Táchira-Venezuela

Palabras clave: hopf bifurcation, limit cycles, nonlinear dynamical systems, single mode laser

Resumen

Based on the Poincar í¨-Lindstedt perturbation method, we propose a general analytical procedure to determine the stability of periodic solutions arising from a Hopf bifurcation in dynamical systems. As an application of our method to a physical system, we analyze the stability of bifurcating periodic orbits in a single mode laser. An analytic expression for the associated stability coefficient is obtained and the stability regions are characterized in the space of parameters of this system.