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Asymptotic representation of relaxation oscillations in lasers

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Asymptotic representation of relaxation oscillations in lasers/ by Elena V. Grigorieva, Sergey A. Kaschenko.
作者:	Grigorieva, Elena V.
其他作者:	Kaschenko, Sergey A.
出版者:	Cham :Springer International Publishing : : 2017.,
面頁冊數:	viii, 230 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
標題:	Nonlinear oscillations. -
電子資源:	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

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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.
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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
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650 2 4 $a Theoretical, Mathematical and Computational Physics. $3 768900
650 2 4 $a Ordinary Differential Equations. $3 670854
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650 2 4 $a Engineering Fluid Dynamics. $3 670525
700 1 $a Kaschenko, Sergey A. $3 1249043
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