Izvestiya of Saratov University.
ISSN 1817-3020 (Print)
ISSN 2542-193X (Online)


Радиофизика, электроника, акустика

ДИНАМИКА ГЕНЕРАТОРА С ТРЕМЯ КОНТУРАМИ В ЦЕПИ ОБРАТНОЙ СВЯЗИ. ФОРМИРОВАНИЕ МУЛЬТИСТАБИЛЬНОСТИ И ПЕРЕХОД К ХАОСУ

В работе рассмотрен кольцевой генератор с тремя линейными колебательными контурами в цепи обратной связи и нелинейным усилителем. Выведены уравнения генератора, представлены результаты численного моделирования. Построены карты характерных режимов, описаны результаты бифуркационного анализа. Установлено, что добавление колебательных контуров в цепь обратной связи классического генератора Ван дер Поля приводит к появлению квазипериодических и хаотических режимов, к появлению мультистабильности.

Каскад бифуркаций удвоения инвариантной кривой и квазипериодический аттрактор Эно в дискретной модели Лоренца-84

В работе представлено исследование трехмерного отображения, полученного посредством дискретизации осциллятора Лоренца-84. Изучена структура плоскости параметров, классифицированы различные типы аттракторов: периодические, квазипериодические (с двумя и тремя несоизмеримыми частотами) и хаотические. Показано, что возникновение хаотических аттракторов в модели происходит через каскад бифуркаций инвариантных кривых.

Synchronization Effects in a Two-Layer Network of Nonlocally Coupled Chaotic Maps with Dissipative and Inertial Intercoupling

Background and Objectives: As external and mutual synchronisation effects are conventional, the study of these phenomena in networks of nonlocally coupled chaotic maps is of much interest. In this paper we study the effects of synchronization in a two-layer network of nonlocally coupled discrete-time systems. Each layer represents a ring of nonlocally coupled logistic maps in the chaotic regime.

Resonance Features in the Allowed and Forbidden Bands of Microwave Coaxial Bragg Structures with Periodically Alternating Dielectric Filling

Background and Objectives: Microwave Bragg structures are used to create various types of microwave devices, including tunable resonators, directional couplers, miniature antennas, matched loads, various types of microwave filters with controlled characteristics. Coaxial Bragg structures based on coaxial elements, which are one of the most common types of microwave elements in waveguide systems, are characterized by a wide frequency range and the absence of radiation losses.

Reflecting, Nonlocal, and Diagonal Coupling Topologies in Networks of the Coupled Dynamics Elements with Various Nature

Backgrounds and Objectives: Networks of coupled dynamical o scillators are of high interest for last decades. The interest to their dynamics greatly increases with the discovery of chimera states. The latter are characterized by the coexistence of regions with coherent and incoherent behavior. There are many works devoted to the networks with nonlocal coupling topology, but the influence of the coupling topology type has not been sufficiently studied.

Control of Collective Dynamics in a Network of Bistable Time-Delay Systems Coupled via the Mean Field

Background and Objectives: The object of our study is a network of identical bistable time-delayed feedback systems coupled via the mean field and driven by an external harmonic signal. The mean field that provides the global coupling of time-delay systems has its own delay time, which allows one to take into account the final speed of signal propagation and processing in the medium through which the oscillators are connected.

Chimera Structures in Ensembles of Nonlocally Coupled Sprott Maps

Background and Objectives: Recently, special attention in nonlinear dynamics and related research fields was targeted to the study of chimera states in networks of coupled oscillators. Chimeras were revealed in ensembles of nonlocally coupled identical systems which are described by both discrete- and continuous-time chaotic systems.

Waveguide-dielectric Resonance in Systems with Nanometer Metal Layer on Dielectric Substrate

High sensitivity of an electromagnetic wave transmission spectra to change the thickness of the nanometer metal layers on dielectric plates in the case of the waveguide-dielectric resonance emergence due to the waveguide cross section is partially filled across the width and asymmetrically occupied relative to its middle by the investigated structure has been established.

From Anosov’s Dynamics on a Surface of Negative Curvature to Electronic Generator of Robust Chaos

Background and Objectives: Systems with hyperbolic chaos should be of preferable interest due to structural stability (roughness) that implies insensitivity to variation of parameters, manufacturing imperfections, interferences, etc. However, until recently, exclusively formal mathematical examples of this kind of dynamical behavior were known. It makes sense to turn to purposeful constructing the systems with hyperbolic dynamics appealing to tools of physics and electronics.

Poincare Recurrences and Afraimovich–Pesin Dimension in a Nonautonomous Conservative Oscillator

Background and Objectives: One of the fundamental features of the temporal dynamics is Poincare recurrence. It have been shown that statistics of return time in global approach depends on topological entropy h. The case of h > 0 (set with mixing) has been already studied theoretically. The theoretical conclusions have been confirmed by numerical simulation. The case of the sets without mixing (h = 0) has been studied theoretically, but recent numerical results shows some special aspects which are absent in theory.

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