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Asymptotic representation of relaxation oscillations in lasers

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Asymptotic representation of relaxation oscillations in lasers/ by 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

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

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

792653
Nonlinear oscillations.

LC Class. No.: QA867.5

Dewey Class. No.: 621.366

Asymptotic representation of relaxation oscillations in lasers
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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 : $c 2017. $b Springer International Publishing : $b Imprint: Springer,
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 792653
650 0 $a Lasers. $3 557748
650 0 $a Nonlinear optics. $3 596868
650 1 4 $a Physics. $3 564049
650 2 4 $a Theoretical, Mathematical and Computational Physics. $3 768900
650 2 4 $a Ordinary Differential Equations. $3 670854
650 2 4 $a Optics, Lasers, Photonics, Optical Devices. $3 1112289
650 2 4 $a Engineering Fluid Dynamics. $3 670525
700 1 $a Kaschenko, Sergey A. $3 1249043
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer eBooks
830 0 $a Understanding complex systems. $3 881607
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-42860-4
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