Local Dynamics of a Laser with Rapidly Oscillating Parameters
The dynamics of class B lasers with the incoherent optical feedback formed by quickly vibrating external mirrors is viewed. The problem of the stability of equilibrium in a model system with rapidly oscillating coefficients is studied. The averaged system with the distributed delay is received. It i...
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| Format: | Article |
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Yaroslavl State University
2013-10-01
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| Series: | Моделирование и анализ информационных систем |
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| Online Access: | https://www.mais-journal.ru/jour/article/view/173 |
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| author | E. V. Grigorieva S. A. Kaschenko |
| author_facet | E. V. Grigorieva S. A. Kaschenko |
| author_sort | E. V. Grigorieva |
| collection | DOAJ |
| description | The dynamics of class B lasers with the incoherent optical feedback formed by quickly vibrating external mirrors is viewed. The problem of the stability of equilibrium in a model system with rapidly oscillating coefficients is studied. The averaged system with the distributed delay is received. It is determined that in the presence of fast delay oscillation the limit of instability of a balance state moves towards significantly greater values of the feedback coefficient. The dependence of the shift with increasing the amplitude modulation has a band structure, so the rapid oscillations of delay can stabilize or destabilize the equilibrium. Normal forms which show changes of the sign of Lyapunov quantityalong border are constructed. They describe characteristics of periodic and quasiperiodic modes close to the balance state. |
| format | Article |
| id | doaj-art-0e58d7f538a14a35bb33f7a20c6edc90 |
| institution | Matheson Library |
| issn | 1818-1015 2313-5417 |
| language | English |
| publishDate | 2013-10-01 |
| publisher | Yaroslavl State University |
| record_format | Article |
| series | Моделирование и анализ информационных систем |
| spelling | doaj-art-0e58d7f538a14a35bb33f7a20c6edc902025-08-04T14:06:39ZengYaroslavl State UniversityМоделирование и анализ информационных систем1818-10152313-54172013-10-01205456110.18255/1818-1015-2013-5-45-61167Local Dynamics of a Laser with Rapidly Oscillating ParametersE. V. Grigorieva0S. A. Kaschenko1Belarus State Economical UniversityP.G. Demidov Yaroslavl State UniversityThe dynamics of class B lasers with the incoherent optical feedback formed by quickly vibrating external mirrors is viewed. The problem of the stability of equilibrium in a model system with rapidly oscillating coefficients is studied. The averaged system with the distributed delay is received. It is determined that in the presence of fast delay oscillation the limit of instability of a balance state moves towards significantly greater values of the feedback coefficient. The dependence of the shift with increasing the amplitude modulation has a band structure, so the rapid oscillations of delay can stabilize or destabilize the equilibrium. Normal forms which show changes of the sign of Lyapunov quantityalong border are constructed. They describe characteristics of periodic and quasiperiodic modes close to the balance state.https://www.mais-journal.ru/jour/article/view/173laser dynamicsfeedbackbifurcation analysis |
| spellingShingle | E. V. Grigorieva S. A. Kaschenko Local Dynamics of a Laser with Rapidly Oscillating Parameters Моделирование и анализ информационных систем laser dynamics feedback bifurcation analysis |
| title | Local Dynamics of a Laser with Rapidly Oscillating Parameters |
| title_full | Local Dynamics of a Laser with Rapidly Oscillating Parameters |
| title_fullStr | Local Dynamics of a Laser with Rapidly Oscillating Parameters |
| title_full_unstemmed | Local Dynamics of a Laser with Rapidly Oscillating Parameters |
| title_short | Local Dynamics of a Laser with Rapidly Oscillating Parameters |
| title_sort | local dynamics of a laser with rapidly oscillating parameters |
| topic | laser dynamics feedback bifurcation analysis |
| url | https://www.mais-journal.ru/jour/article/view/173 |
| work_keys_str_mv | AT evgrigorieva localdynamicsofalaserwithrapidlyoscillatingparameters AT sakaschenko localdynamicsofalaserwithrapidlyoscillatingparameters |