# Radiophysics, electronics, acoustics

## Lorenz Attractor in a System with Delay: an Example of Pseudogyperbolic Chaos

**Background and Objectives:** The work contributes to a research direction aimed at search for and construction of physically realizable systems, which could fill the mathematical theory of pseudo-hyperbolic dynamics with physical content. Chaotic attractors belonging to this class generate genuine chaos that does not degrade under small variations of parameters and functions in dynamical equations.

## Synchronization of Chimera States in Ensembles of Nonlocally Coupled Cubic Maps

Background and Objectives: Effects of mutual and external synchronization of chimera states are studied in two coupled ensembles of discrete maps. Each of the ensembles is a onedimensional ring of nonlocally coupled cubic maps in the chaotic oscillation mode. In order to create differences in the dynamics of the ensembles when there is no coupling between them, a mismatch is introduced in the parameters of the individual oscillators of the first and second rings. Effects of external and mutual synchronization of chimera states are explored in detail.

## Calculation of Focusing Spin Wave Transducers Using the Method of Micromagnetic Simulation

Background and Objectives: Researches in the field of electronic circuit development for microwave informational systems based on magnetization oscillations and waves have been performing since the 1960s of the last century. The surge of interest in spin waves (SW) during the last decade is caused by the perspective to use SW as information carriers on the sub-micromagnetic and nanometer scale that leads to the fabrication of devices on magnonic principles and a significant miniaturization of spin-wave devices.

## Method for Information Transmission Using a Predictive Model in Coupled Time-delay Systems

Background and Objectives: The object of our study is a system for secure information transmission based on time-delay generators. The choice of the model is justified by the fact that time-delay systems can be easily realized in experiment and they can exhibit chaotic behavior with a large number of positive Lyapunov exponents (hyperchaos). A transmitter uses the modulation of the delay time of a chaotic generator by a binary information signal.

## Two Approaches to the Solution of the Scalar Problem of Diffraction on the Plane Two-periodic Lattice From Bodies of Revolution Located in the Liquid Layer

Background, Objectives and Methods: The problem of diffraction of acoustic waves on the lattices located in the layered media is of great scientific interest in hydroacoustics. There are many methods of the solution of this diffraction problem, such as the method of the surface integral equations, finite element method, boundary element method, etc. One of universal method of solution of diffraction problems is the modified method of discrete sources (MMDS).

## 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.

## 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.

## 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.