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Study of the local dynamics of the optoelectronic oscillator model

Annotation

We study the stability of equilibrium state for the model of optoelectronic oscillator described by the differential-integral equation. For this, we construct a characteristic equation and determine the position of its roots. Depending on the parameters values, we determine the stability of equilibrium state. We identified the critical parameters values at which the equilibrium state changes its stability. In critical cases, we construct analogues of standard forms.

Keywords

characteristic quasipolynomial; asymptotic roots representation; standard form

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UDC

517.9

Pages

157-166

Received

2019-09-17

Section of issue

Physical and mathematical sciences

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