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Asymptotic representation of relaxat...

Grigorieva, Elena V.

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Asymptotic representation of relaxation oscillations in lasers

Record Type:	Electronic resources : 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.
[NT 15003449]:	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.
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:

652113
Nonlinear oscillations.

LC Class. No.: QA867.5

Dewey Class. No.: 621.366

Asymptotic representation of relaxation oscillations in lasers
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100 1 $a Grigorieva, Elena V. $3 3218790
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 652113
650 0 $a Lasers. $3 535503
650 0 $a Nonlinear optics. $3 521794
650 1 4 $a Physics. $3 516296
650 2 4 $a Theoretical, Mathematical and Computational Physics. $3 1066859
650 2 4 $a Ordinary Differential Equations. $3 891264
650 2 4 $a Optics, Lasers, Photonics, Optical Devices. $3 2209850
650 2 4 $a Engineering Fluid Dynamics. $3 891349
700 1 $a Kaschenko, Sergey A. $3 3218791
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
830 0 $a Understanding complex systems. $3 1568162
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-42860-4
950 $a Physics and Astronomy (Springer-11651)