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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations
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Asymptotic Representation of Relaxation Oscillations in Lasers (Paperback, Softcover reprint of the original 1st ed. 2017)
Loot Price: R2,957
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Asymptotic Representation of Relaxation Oscillations in Lasers (Paperback, Softcover reprint of the original 1st ed. 2017)
Series: Understanding Complex Systems
Expected to ship within 10 - 15 working days
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In this book we analyze relaxation oscillations in models of lasers
with nonlinear elements controlling light dynamics. The models are
based on rate equations taking into account periodic modulation of
parameters, optoelectronic delayed feedback, mutual coupling
between lasers, intermodal interaction and other factors. With the
aim to study relaxation oscillations we present the special
asymptotic method of integration for ordinary differential
equations and differential-difference equations. As a result, they
are reduced to discrete maps. Analyzing the maps we describe
analytically such nonlinear phenomena in lasers as multistability
of large-amplitude relaxation cycles, bifurcations of cycles,
controlled switching of regimes, phase synchronization in an
ensemble of coupled systems and others. The book can be fruitful
for students and technicians in nonlinear laser dynamics and in
differential equations.
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