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Relaxation Oscillation in Lasers (Hardcover) (Elena V. Grigorieva & Sergey A. Kaschenko)
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In thisbook we analyze relaxation oscillationsin models of lasers with nonlinear elements controlling light dynamics. Themodels are based on rate equations taking into account periodic modulation ofparameters, optoelectronic delayed feedback, mutual coupling between lasers,intermodal interaction and other factors.
With theaim to study relaxation oscillations we present the special asymptotic methodof integration for ordinary differential equations and differential-differenceequations. As a result, they are reduced to discrete maps. Analyzing the maps we describeanalytically such nonlinear phenomena in lasers as multistability of large-amplitude relaxationcycles, bifurcations of cycles, controlled switching of regimes, phase synchronization in an ensemble of coupled systems and others.
The book can be fruitful for students andtechnicians in nonlinear laser dynamics and in differential equations.