Izvestiya VUZ. Applied Nonlinear Dynamics

ISSN (print): 0869-6632, ISSN (online): 2542-1905

Founder: Saratov State University 

Editor-in-Chief: Yu.V. Gulyaev, Member of the RAS, Ph.D., Professor

Frequency / Access: 6 issues per year / open

Included in: White List (2nd level), Higher Attestation Commission List, RISC, WoS, Scopus

The founder and the publisher of the journal is Saratov State University.

Active since 1993, 6 issues (1 volume) per year.

The journal subscription index is 73498. The subscription is available in online catalogue Ural-Press Group of Companies. The price is not fixed.

Registered by the Federal Service for Supervision of Communications, Information Technology, and Mass Media. Certificate of mass media registration No 1492 from 19.12.1991, re-registration in 24.08.1998, re-registration in 20.03.2020.

The journal is published in Russian (English articles are also acceptable, with the possibility of publishing selected articles in other languages by agreement with the editors), the articles data as well as abstracts, keywords, figure captions and references are consistently translated into English.

Scientific and technical journal "Izvestiya VUZ. Applied Nonlinear Dynamics" is an original interdisciplinary publication of wide focus. The journal is the oldest Russian specialized periodical on nonlinear dynamics (synergetics), chaos theory and their applications.

The journal publishes original research in the following areas (headings):

  • Nonlinear Waves. Solitons. Autowaves. Self-Organization.
  • Bifurcation in Dynamical Systems. Deterministic Chaos. Quantum Chaos.
  • Applied Problems of Nonlinear Oscillation and Wave Theory.
  • Modeling of Global Processes. Nonlinear Dynamics and Humanities.
  • Innovations in Applied Physics.
  • Nonlinear Dynamics and Neuroscience.
  • Science for Education. Methodical Papers. History of Nonlinear Dynamics. Personalia.

Current Issue

Vol 34, No 5 (2026)

Editorial

Memories of pupils and colleagues of Yurii Pavlovich Sharaevskii
Morozova M.A., Grishin S.V., Davojan A.R., Sadovnikov A.V., Hramov A.E.
Abstract
This issue of the journal is dedicated to the memory of an outstanding scientist, a brilliant educator, and a very wise and remarkable person — Doctor of Physical and Mathematical Sciences, Professor of Saratov State University, Yurii Pavlovich Sharaevskii, who left us on January 1, 2026.
Izvestiya VUZ. Applied Nonlinear Dynamics. 2026;34(5):635-653
pages 635-653 views

Applied problems of nonlinear oscillation and wave theory

Vector geomagnetic field meter based on binary modules of YIG-generators
Tikhonov V.V., Ptashenko A.S., Grishin S.V.
Abstract
Purpose. Development of physical principles for constructing highly sensitive, thermally independent vector meters of weak geomagnetic fields, comprising three identical single-coordinate geomagnetic field sensors oriented along the axes of a three-dimensional basis. Methods. As primary transducers of geomagnetic fields, it is proposed to use binary modules consisting of two microwave (MW) autogenerators, whose feedback circuits contain identical resonators fabricated from yttrium iron garnet (YIG) films. The YIG resonators are magnetized in opposite directions along the normal to the film surface. Signals from the YIG generator outputs are fed to a mixer input, where the difference frequency of the microwave signals is extracted. This difference frequency is measured by a digital frequency counter. When an external geomagnetic field is applied, a shift in the difference frequency occurs that adequately reflects the magnitude of only one normal component of the geomagnetic field, aligned with the direction of the bias magnetization of the YIG resonators. Meanwhile, frequency shifts caused by tangential field components, as well as those induced by thermal heating of the YIG resonators, are completely compensated. Results. An original design of a portable bias magnetization system for thin-film YIG resonators is proposed. Preliminary tests of a laboratory YIG generator prototype integrated with the portable bias magnetization system have been carried out on a precision rotary stage. It is demonstrated that the orientation (angular) sensitivity threshold of the YIG generator does not exceed 0.012∘. Conclusion. The proposed technique for vector measurements of geomagnetic fields is characterized by simplicity, reliability, and technological feasibility. It can be applied in high-precision geomagnetic navigation systems, as well as in geomagnetic environment monitoring systems for scientific research, cartographic, and geological exploration purposes.  
Izvestiya VUZ. Applied Nonlinear Dynamics. 2026;34(5):654-664
pages 654-664 views
Distribution of the backward volume-surface spin wave across the thickness of a tangentially magnetized ferrite plate
Lock E.H., Gerus S.V.
Abstract
The purpose of this work is to investigate the characteristics of a volume-surface spin wave in a tangentially magnetized ferrite plate. Methods. Without using magnetostatic and electrostatic approximations, the general problem of the propagation of a volume-surface electromagnetic wave along a tangentially magnetized bigyrotropic layer in an arbitrary direction is analytically solved, and a dispersion relation for this wave is obtained. Results. It is shown that the amplitude distribution of high-frequency wave fields within a bi-gyrotropic layer is described by two wavenumbers, which are included in the trigonometric and exponential functions, respectively, and determine the volume and surface distribution of the wave. Using the resulting dispersion equation, the characteristics of the backward volume-surface spin wave in a ferrite plate, a special case of a bi-gyrotropic layer, are studied. For the case of wave propagation along the external magnetic field vector, the dispersion dependencies of the first modes of this wave and the wave numbers determining the surface and volume parts of the wave distribution across the ferrite thickness were calculated. The relation between the coefficients determining the contribution of the trigonometric and exponential terms to the wave distribution across the ferrite plate thickness was also calculated, allowing us to determine the extent to which the wave is a volume wave and the extent to which it is a surface wave, depending on the frequency and propagation constant. The calculated characteristics were compared with those of a backward volume magnetostatic wave. It was found that at frequencies near the plate’s ferromagnetic resonance and at low propagation constants, these characteristics differ significantly. Conclusion. The dispersion equation presented in this paper can be used to calculate the characteristics of volume-surface spin waves and electromagnetic waves in various anisotropic layers, which are special cases of a bi-gyrotropic layer. The results obtained above should be taken into account when developing devices using spin waves.  
Izvestiya VUZ. Applied Nonlinear Dynamics. 2026;34(5):665-682
pages 665-682 views
Multiport YIG networks for reconfigurable spin wave demultiplexing: the role of orthogonality and symmetry of waveguide topologies
Manysheva A.A., Solyanov A.A., Sadovnikov A.V.
Abstract
Purpose. This study investigates the mechanisms of frequency-selective spin wave demultiplexing in multiport magnonic networks based on yttrium iron garnet. We focus on how the geometric symmetry of cross-shaped nodes and waveguide orthogonality affect signal spatial distribution, aiming to develop principles for reconfigurable logic without altering the structure’s topology. Methods. Micromagnetic modeling was performed by numerically solving the Landau–Lifshitz–Gilbert equation in MuMax3, accounting for exchange interaction and magnetostatics. For the first time, Pearson correlation analysis was applied to dynamic magnetization time series at the output terminals of an eight-channel structure to verify channel isolation regimes and reveal hidden interference dependencies while varying the bias field angle. Results. We established that inter-channel transmission efficiency in orthogonal topologies critically depends on internal field anisotropy and excitation frequency. Selective power redistribution among ports, driven by mode conversion at junctions, was observed. Furthermore, coherent two-channel excitation was shown to enable interference-based signal control. Conclusion. It is demonstrated that a single cross-shaped architecture can perform functions equivalent to a cascade of 15 Boolean gates (AND, OR, XOR, etc.). Logical state switching is achieved exclusively by varying external field parameters and input signal phases, paving the way for energy-efficient Processing-in-Memory processors.
Izvestiya VUZ. Applied Nonlinear Dynamics. 2026;34(5):683-697
pages 683-697 views

Innovations in applied physics

Spin wave phase comparator based on antiferromagnetic film with weak ferromagnetism
Arkhipova O.Y., Matveev A.A., Safin A.R., Nikitov S.A.
Abstract

The purpose of this work is to obtain an expression for the discriminative characteristic of the spin wave phase comparator, which is the dependence of the amplitude of the output voltage on the phase difference of the exciting microwave oscillations. This comparator is based on an antiferromagnetic film and three microstrip antennas, two of which receive microwave signals, the phases of which need to be compared, and the output voltage is removed from the third. In addition, this paper examines the behavior of the discriminative characteristic for various positions of the receiving antenna. Methods. To describe an antiferromagnetic waveguide, an equivalent electrical circuit based on concentrated elements was compiled. The radio engineering model was considered in the form of active and reactive resistances of spin wave excitation and reception antennas, as well as active and reactive resistances characterizing the propagation of spin waves in an antiferromagnetic film. The components of the magnetic susceptibility tensor of an antiferromagnet are derived from the Landau-Lifshitz-Hilbert equations, which made it possible to describe the relationship between the electric and magnetic systems. The theoretical results were confirmed using micromagnetic modeling. Results. The principle of operation of a spin wave phase comparator based on an antiferromagnetic film is described. Using an equivalent electrical circuit, the main characteristic of the comparator is obtained - the dependence of the amplitude of the output voltage at the receiving antenna on the phase difference of the exciting microwave signals. Also, the dependence of the amplitude of the output voltage on the position of the receiving antenna is constructed. Micromagnetic modeling was carried out to verify the theoretically obtained results. Conclusion. In this paper, an expression is obtained for the discriminatory characteristic of an antiferromagnetic film-based comparator with an arbitrary location of the receiving antenna. It is shown that the discriminative characteristic depends on the spatial location of the receiving antenna. The highest efficiency of the comparator is achieved if the detector is located in the middle between the exciting antennas.

Izvestiya VUZ. Applied Nonlinear Dynamics. 2026;34(5):698-709
pages 698-709 views
Spin waves in lateral YIG waveguides with platinum strips
Balaeva V.V., Romanenko D.V., Gusev S.A., Gusev N.S., Averin N.V., Morozova M.A.
Abstract

Purpose. The propagation characteristics of spin waves in two laterally coupled yttrium iron garnet waveguides with platinum strips on the surface have been experimentally investigated. Methods. Two methods of structure excitation were considered: excitation of one waveguide and signal reception from two waveguides, as well as excitation of two waveguides and signal reception from one waveguide. Results. It is shown that in the first case, the spin wave excitation bands taken from the outputs of the first and second waveguides partially overlap; the frequency range between the maxima of the spin wave excitation bands increases with increasing voltage in the platinum strips; in the second case, a spin wave bandgap was observed at the phase difference of the input signals of π and π/2. Conclusion. With increasing voltage in the platinum strips, the bandgap disappeared.

Izvestiya VUZ. Applied Nonlinear Dynamics. 2026;34(5):710-722
pages 710-722 views
Magnetoelectric effect in a ferromagnet/electrostrictor structure
Savelev D.V., Burdin D.A., Bolotina E.V., Chashin D.V., Pereverzeva A.P., Fetisov Y.K.
Abstract
Purpose of this work was to investigate the characteristics of linear and nonlinear magnetoelectric (ME) effects in a structure containing a mechanically coupled layer of Metglas amorphous alloy and a layer of PMN-PT electrostrictive ceramics. Methods. The structure was placed in an excitation magnetic field with a frequency of 5...300 kHz and an amplitude of up to 6 Oe, and a parallel DC bias magnetic field of 0...100 Oe. The amplitudes of the 1st and 2nd harmonics of the voltage generated by the structure were measured using a lock-in amplifier as a function of frequency, excitation field, and bias field. Results. It is shown that the magnetostriction of Metglas and the electrostrain of PMN-PT ceramics in weak fields quadratically depend on the magnetic and electric fields. The linear direct ME effect and the nonlinear ME effect of frequency doubling in the structure, arising due to the nonlinearity of magnetostriction, were discovered and investigated. The dependences of the 1st and 2nd harmonic amplitudes of the ME voltage on the magnetic field and the amplitude of the excitation field are well described by theory. A linear increase in the harmonic amplitudes by more than 25 times was demonstrated when an electric field of up to 2 kV/cm was applied to the ceramic layer. In the described structure, the ME coefficient was 1.7 V/(Oe·cm) for the linear effect and 20 mV/(Oe2·cm) for the nonlinear effect. Conclusion. The results can be used to create magnetic field sensors and frequency doublers.  
Izvestiya VUZ. Applied Nonlinear Dynamics. 2026;34(5):723-734
pages 723-734 views

Nonlinear waves. Solitons. Autowaves. Self-organization

Spin pumping by surface magnetostatic waves in the Pt/YIG/SiO2/Si structure
Seleznev M.E., Nikulin Y.V., Dudko G.M., Sakharov V.K., Khivintsev Y.V., Kozhevnikov A.V., Vysotskii S.L., Amakhanov G.M., Novitsky N.N., Serokurova A.I., Filimonov Y.A.
Abstract

The purpose of this work is to experimentally investigate the spin Hall effect magnetoresistance (SHE) and, using the inverse spin Hall effect (ISHE), spin pumping by traveling surface magnetostatic waves (MSSW) in the Pt(4 nm)/YIG(600 nm) microstructure based on a polycrystalline YIG film obtained by ion sputtering on a SiO2(100 nm)/Si substrate. The measurement results are compared with the case of the Pt(4 nm)/YIG(900 nm) structure obtained on the basis of an epitaxial YIG film. Methods. The experiments were performed with a MSSW delay line layout based on the YIG/Pt microstructure. The amplitudefrequency characteristics of the transmission and reflection coefficients and the frequency dependences of the EMF V(f) induced in the Pt element due to the ISHE were studied. Results. It is shown that the values of the SHE in the structures are of the same order f magnitude, which reflects the proximity of the saturation magnetization of the samples of 1750 G and 1432 G. At the same time, the values of the EMF generated in the structures during the propagation of the MSSWs due to the inverse spin Hall effect are almost two orders of magnitude higher for the structure based on the epitaxial YIG film. This discrepancy in the EMF values is associated with the low microstructural perfection of the YIG (600 nm)/SiO2 (100 nm)/Si film due to growth defects, which is manifested in the FMR linewidth ΔH ≈ 56 Oe, more than 40 times higher than the ∆H value in the epitaxial YIG film. Large values of ΔH reduce the amplitude and increase the attenuation of the excited MSSWs. Conclusion. The feasibility of spin pumping in a YIG/Pt structure fabricated on a SiO2/Si semiconductor substrate is demonstrated. The results are of interest for the development of energy-efficient components based on magnonic spintronics principles.

Izvestiya VUZ. Applied Nonlinear Dynamics. 2026;34(5):735-751
pages 735-751 views