ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)


Прикладные задачи нелинейной теории колебаний и волн

Локальная динамика модели цепочки лазеров с оптоэлектронной запаздывающей однонаправленной связью

Рассматривается система уравнений, описывающая динамику замкнутой цепочки большого числа лазеров с оптоэлектронной запаздывающей связью между элементами.
Предложена эквивалентная распределенная интегро-дифференциальная модель с малым параметром обратно пропорциональным количеству лазеров в цепочке. Для распределенной модели с периодическими краевыми условиями получено критическое значение коэффициента связи, при котором стационарное состояние в цепочке становится неустойчивым.

Generation of double-frequency radiation in monotron with three-gap cavity

Purpose of this work is to study modes and conditions that make it possible to excite the highest type of microwave oscillations, the frequency of which is a multiple of the frequency of the main type, in a monotron with a three-band resonator.

Study of gyrotron synchronization by an external harmonic signal based on a modified quasi-linear theory

Topic. The paper is devoted to the study of synchronization of a gyrotron by an external harmonic signal. A theoretical study of gyrotron synchronization processes by means of a computational experiment based on certain traditional models of microwave electronics does not provide a complete description of the synchronization pattern. Therefore, the goal of the paper is to develop a modified quasi-linear model based on an approximation of the electron susceptibility by rational functions. Methods.

Increasing the sensitivity of real-time method for diagnostic of autogenerators phase synchronization based on their non-stationary time series

Purpose of this work is to of the research – Increasing the sensitivity of a method for diagnosing phase synchronization of autogenerators based on their non-stationary time series in real time, and also a comparison of the statistical properties of the proposed modification of the method with the well-known method for diagnostics of loop synchronization, which has proven itself in the analysis of experimental data.

Сглаженные кардиоинтервалограммы: опыт применения для эпизодов стресса

Цели настоящего исследования - на основе сугубо временнoго анализа кардиоинтервалограмм (КИГ) разделить и отобразить влияние различных механизмов регулирования физиологических систем человека на его сердечный ритм; обнаружить на сглаженных КИГ паттерны, соответствующие маркерам стресса, и предложить методические принципы определения частотно-временных характеристик вариабельности сердечного ритма (ВСР) по сглаженной КИГ и псевдофазовым портретам.

Связь притягивающих множеств деформаций инструмента с пространственной ориентацией упругости инструмента и регенерацией сил резания при точении

В настоящее время динамическая система резания представляется в виде двух подсистем – инструмента и заготовки, взаимодействующих через нелинейную связь, формируемую процессом резания. Подобное представления определяет важность изучения динамики процесса резания, как основного фактора, влияющего на эффективность станков, траектории исполнительных элементов которых задаются ЧПУ и обеспечиваются с высокой точностью.

Mixed forced, parametric, and self-oscillations with nonideal energy source and lagging forces

The purpose of this study is to determine the effect of retarded forces in elasticity and damping on the dynamics of mixed forced, parametric, and self-oscillations in a system with limited excitation. A mechanical frictional self-oscillating system driven by a limited-power engine was used as a model. Methods. In this work, to solve the nonlinear differential equations of motion of the system under consideration, the method of direct linearization is used, which differs from the known methods of nonlinear mechanics in ease of use and very low labor and time costs.

Intracavity optical parametric oscillator: Model of dynamic system with different values of time delay for pump and signal radiation

 Most of intracavity pumped optical parametric oscillators (OPO) are made nowaday according to a scheme with a single-resonance OPO located in the cavity of a pump laser. Usually the cavities of the pump and OPO (signal) emission have different values of round-trip time (delay). Aim of the study is therefore to build up the mathematical model of intracavity optical parametric oscillator (ICOPO) considered as a time-delay dynamic system with two values of delay in both cavities (the pump and signal). Methods.

On the genetic divergence of two adjacent populations living in a homogeneous habitat

The purpose is to study the mechanisms leading to the genetic divergence, i.e. stable genetic differences between two adjacent populations coupled by migration of individuals. We considered the case when the fitness of individuals is strictly determined genetically by a single diallelic locus with alleles A and a, the population is panmictic and Mendel's laws of inheritance hold. The dynamic model contains three phase variables: concentration of allele A in each population and fraction (weight) of the first population in the total population size.

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