03553nam a22005655i 4500 978-3-319-42860-4 DE-He213 20210625091834.0 cr nn 008mamaa 161110s2017 gw | s |||| 0|eng d 9783319428604 978-3-319-42860-4 10.1007/978-3-319-42860-4 doi QC19.2-20.85 PHU bicssc SCI040000 bisacsh PHU thema 530.1 23 Grigorieva, Elena V. author. aut http://id.loc.gov/vocabulary/relators/aut Asymptotic Representation of Relaxation Oscillations in Lasers [electronic resource] / by Elena V. Grigorieva, Sergey A. Kaschenko. 1st ed. 2017. Cham : Springer International Publishing : Imprint: Springer, 2017. VIII, 230 p. 73 illus. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Understanding Complex Systems, 1860-0832 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. Mathematical physics. Differential equations. Lasers. Photonics. Fluid mechanics. Theoretical, Mathematical and Computational Physics. https://scigraph.springernature.com/ontologies/product-market-codes/P19005 Ordinary Differential Equations. https://scigraph.springernature.com/ontologies/product-market-codes/M12147 Optics, Lasers, Photonics, Optical Devices. https://scigraph.springernature.com/ontologies/product-market-codes/P31030 Engineering Fluid Dynamics. https://scigraph.springernature.com/ontologies/product-market-codes/T15044 Kaschenko, Sergey A. author. aut http://id.loc.gov/vocabulary/relators/aut SpringerLink (Online service) Springer Nature eBook Printed edition: 9783319428598 Printed edition: 9783319428611 Printed edition: 9783319826837 Understanding Complex Systems, 1860-0832 https://doi.org/10.1007/978-3-319-42860-4 ZDB-2-PHA ZDB-2-SXP Physics and Astronomy (SpringerNature-11651) Physics and Astronomy (R0) (SpringerNature-43715)