Multistability in a laser model with large delay

A dynamical model of laser generation based on monomode balance equations with delay is studied. Methods of a local analysis are used to build sets of quasinormal forms in the neighborhood of parame^ters bifurcation values. The possibility of the coexistence of a large number of steady oscillating s...

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Main Authors: E. V. Grigorieva, I. S. Kaschenko, S. A. Kaschenko
Format: Article
Language:English
Published: Yaroslavl State University 2010-06-01
Series:Моделирование и анализ информационных систем
Subjects:
Online Access:https://www.mais-journal.ru/jour/article/view/1027
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author E. V. Grigorieva
I. S. Kaschenko
S. A. Kaschenko
author_facet E. V. Grigorieva
I. S. Kaschenko
S. A. Kaschenko
author_sort E. V. Grigorieva
collection DOAJ
description A dynamical model of laser generation based on monomode balance equations with delay is studied. Methods of a local analysis are used to build sets of quasinormal forms in the neighborhood of parame^ters bifurcation values. The possibility of the coexistence of a large number of steady oscillating states is shown.
format Article
id doaj-art-50d284f50aa04c7eb04a2b39c2e1ea52
institution Kabale University
issn 1818-1015
2313-5417
language English
publishDate 2010-06-01
publisher Yaroslavl State University
record_format Article
series Моделирование и анализ информационных систем
spelling doaj-art-50d284f50aa04c7eb04a2b39c2e1ea522025-08-20T03:44:18ZengYaroslavl State UniversityМоделирование и анализ информационных систем1818-10152313-54172010-06-011721727768Multistability in a laser model with large delayE. V. Grigorieva0I. S. Kaschenko1S. A. Kaschenko2Белорусский государственный университетЯрославский государственный университет им. П. Г. ДемидоваЯрославский государственный университет им. П. Г. ДемидоваA dynamical model of laser generation based on monomode balance equations with delay is studied. Methods of a local analysis are used to build sets of quasinormal forms in the neighborhood of parame^ters bifurcation values. The possibility of the coexistence of a large number of steady oscillating states is shown.https://www.mais-journal.ru/jour/article/view/1027delaysingular perturbationnormal <i>form</i>
spellingShingle E. V. Grigorieva
I. S. Kaschenko
S. A. Kaschenko
Multistability in a laser model with large delay
Моделирование и анализ информационных систем
delay
singular perturbation
normal <i>form</i>
title Multistability in a laser model with large delay
title_full Multistability in a laser model with large delay
title_fullStr Multistability in a laser model with large delay
title_full_unstemmed Multistability in a laser model with large delay
title_short Multistability in a laser model with large delay
title_sort multistability in a laser model with large delay
topic delay
singular perturbation
normal <i>form</i>
url https://www.mais-journal.ru/jour/article/view/1027
work_keys_str_mv AT evgrigorieva multistabilityinalasermodelwithlargedelay
AT iskaschenko multistabilityinalasermodelwithlargedelay
AT sakaschenko multistabilityinalasermodelwithlargedelay