On the Location of Some Characteristic Quasipolinomial Roots

Modelirovanie i Analiz Informacionnyh Sistem

A. R. Moryakova¹  D. S. Glyzin¹  E. P. Kubyshkin¹ 

[1] P.G. Demidov Yaroslavl State University;

关键词: quasi-polynomial;    d-partition method;    asymptotic representation;   

DOI  :  10.18255/1818-1015-2015-1-74-84

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown