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

Радиофизика, электроника, акустика

Mutual synchronization of complex structures in interacting ensembles of non-locally coupled rotators

Background and Objectives: One of the actual problems in nonlinear dynamics is the formation and interaction of complex spatial structures such as chimeras and solitary states arising in multicomponent systems. Chimera states are typical for ensembles of identical oscillators with regular, chaotic, and even stochastic behavior in a case of nonlocal interaction of the elements. They represent cluster structures, including groups of elements with synchronous and non-synchronous oscillations.

Cascade of Invariant Curve Doubling Bifurcations and Quasi-Periodic Hénon Attractor in the Discrete Lorenz-84 Model

Background and Objectives: Chaotic behavior is one of the fundamental properties of nonlinear dynamical systems, including maps. Chaos can be most easily and reliably diagnosed using the largest Lyapunov exponent, which will be positive for the chaotic mode. Unlike flow dynamical systems, the presence of zero Lyapunov exponent in the spectrum is not an obligatory condition for maps. The zero exponent in the spectrum of a map will indicate the possibility of embedding such a map in a flow.

Mutual Synchronization of Dissipatively Coupled Memristive Self-Oscillators

Background and Objectives: Dynamical systems containing memristive elements, i.e. elements with “memory”, represent a special class of dynamical systems that can be named memristive systems. In memristive systems, the synchronization of oscillations has some features. However, a complete description of these features is still lacking. For the most part, this concerns the synchronization of memristive self-oscillators, both identical and with frequency detuning.

Communication Systems with Correlation Receiver Based on Generators with Dynamical Chaos

Background and Objectives: The object of research is communication systems based on the methods of correlation receiving. The aim of the study is a comparative assessment of the noise immunity of three different information transmission systems at the same levels of external noise. Materials and Methods: The methods of numerical simulation of time-delay systems are used. For the self-oscillating systems with delay, the approach based on correlation receiving is used for communication systems.