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JOURNALS // Problemy Fiziki, Matematiki i Tekhniki (Problems of Physics, Mathematics and Technics) // Archive

PFMT, 2024 Issue 2(59), Pages 70–72 (Mi pfmt968)

MATHEMATICS

Investigation of fluctuations in molecular generator as self-oscillatory system by method of canonical representations

S. P. Zhogal, S. I. Zhogal, V. V. Orlov

Francisk Skorina Gomel State University

Abstract: Steady-state random oscillations in a self-oscillatory system with two and a half degrees of freedom, such as a molecular generator, have been studied using the method of canonical representations. The relationships have been found for finding the most probable values of the characteristics of the stationary mode of oscillations of a molecular oscillator, taking into account the thermal noise of the resonator and the spontaneous emission of a beam of active molecules.

Keywords: self-oscillatory system, stochastic oscillations, method of canonical representations, amplitude of stationary stochastic oscillations, molecular generator.

UDC: 517.9+534

Received: 29.01.2024

DOI: 10.54341/20778708_2024_2_59_70



© Steklov Math. Inst. of RAS, 2024