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Asymptotic representation of relaxat...

Grigorieva, Elena V.

Asymptotic representation of relaxation oscillations in lasers

Record Type:	Electronic resources : Monograph/item
Title/Author:	Asymptotic representation of relaxation oscillations in lasersby Elena V. Grigorieva, Sergey A. Kaschenko.
Author:	Grigorieva, Elena V.
other author:	Kaschenko, Sergey A.
Published:	Cham :Springer International Publishing :2017.
Description:	viii, 230 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Nonlinear oscillations.
Online resource:	http://dx.doi.org/10.1007/978-3-319-42860-4
ISBN:	9783319428604$q(electronic bk.)

Asymptotic representation of relaxation oscillations in lasers
Grigorieva, Elena V.

Asymptotic representation of relaxation oscillations in lasers[electronic resource] /by Elena V. Grigorieva, Sergey A. Kaschenko. - Cham :Springer International Publishing :2017. - viii, 230 p. :ill., digital ;24 cm. - Understanding complex systems,1860-0832. - Understanding complex systems..

1 Introduction -- 2 Spiking in Single-Mode Laser -- 3 Spiking in Lasers with Delayed Feedback -- 4 Rectangular Pulsing in Lasers with Delayed Feedback -- 5 Relaxation Oscillations in Coupled Laser Systems -- Appendixes -- References.

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.

ISBN: 9783319428604$q(electronic bk.)

Standard No.: 10.1007/978-3-319-42860-4doiSubjects--Topical Terms:

215804
Nonlinear oscillations.

LC Class. No.: QA867.5

Dewey Class. No.: 621.366

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100 1 $a Grigorieva, Elena V. $3 771475
245 1 0 $a Asymptotic representation of relaxation oscillations in lasers $h [electronic resource] / $c by Elena V. Grigorieva, Sergey A. Kaschenko.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2017.
300 $a viii, 230 p. : $b ill., digital ; $c 24 cm.
490 1 $a Understanding complex systems, $x 1860-0832
505 0 $a 1 Introduction -- 2 Spiking in Single-Mode Laser -- 3 Spiking in Lasers with Delayed Feedback -- 4 Rectangular Pulsing in Lasers with Delayed Feedback -- 5 Relaxation Oscillations in Coupled Laser Systems -- Appendixes -- References.
520 $a 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.
650 0 $a Nonlinear oscillations. $3 215804
650 0 $a Lasers. $3 182244
650 0 $a Nonlinear optics. $3 182076
650 1 4 $a Physics. $3 179414
650 2 4 $a Theoretical, Mathematical and Computational Physics. $3 376743
650 2 4 $a Ordinary Differential Equations. $3 273778
650 2 4 $a Optics, Lasers, Photonics, Optical Devices. $3 758151
650 2 4 $a Engineering Fluid Dynamics. $3 273893
700 1 $a Kaschenko, Sergey A. $3 771476
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
830 0 $a Understanding complex systems. $3 560200
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-42860-4
950 $a Physics and Astronomy (Springer-11651)