On the Location of Some Characteristic Quasipolinomial Roots
https://doi.org/10.18255/1818-1015-2015-1-74-84
Abstract
The location of zeros of two characteristic quasi-polynomials arising from studying the differential equations with a retarded argument is considired. The first one originates from the mathematical model of electromagnetic oscillations generator with a delayed feedback, the second one — from the Lang-Kobayashi system that is a well-known mathematical model of a quantum generator. The D-partition figures are presented in a prameter space and possible critical cases are found out. The large delay case important for applications is considered. In this case, for quasi-polinomial roots obtained are the analytical dependencies on a value reciprocal to the delay, and uniform asymptotical formulas are constructed.
About the Authors
D. S. Glyzin
P.G. Demidov Yaroslavl State University
Russian Federation
Russian Federation
канд. физ.-мат. наук
Sovetskaya str., 14, Yaroslavl, 150000, Russia
E. P. Kubyshkin
P.G. Demidov Yaroslavl State University
Russian Federation
Russian Federation
доктор физ.-мат. наук, профессор
Sovetskaya str., 14, Yaroslavl, 150000, Russia
A. R. Moryakova
P.G. Demidov Yaroslavl State University
Russian Federation
Russian Federation
аспирант
Sovetskaya str., 14, Yaroslavl, 150000, Russia
References
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Review
For citations:
Glyzin D.S., Kubyshkin E.P., Moryakova A.R. On the Location of Some Characteristic Quasipolinomial Roots. Modeling and Analysis of Information Systems. 2015;22(1):74-84. (In Russ.) https://doi.org/10.18255/1818-1015-2015-1-74-84
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