?
Macromodeling approaches for simulation of coupled oscillator networks
P. 1–4.
Gourary M. M., Rusakov S. G., Ulyanov S., Zharov M. M.
Challenges to simulate networks of weakly coupled oscillators using circuit simulators are considered. The approach based on the special locking function is presented. The application of system of the phase equations based on locking functions for estimation of locking range of weakly coupled oscillator networks is shown.
In book
M.: IEEE, 2018.
Karatetskaia E., Kazakov A., Safonov K. et al., Physical Review Letters 2025 Vol. 134 No. 16 Article 167201
The Kuramoto model and its generalizations are universal models of collective behavior in oscillatory networks. We provide conditions on the coupling function such that the Kuramoto system with four globally coupled identical oscillators has chaotic attractors: a pair of Lorenz attractors or a four-winged analog of the Lorenz attractor. The attractors emerge near the triple ...
Added: December 3, 2025
Novikov K., В кн.: «Фундаментальные, поисковые, прикладные исследования и инновационные проекты». Сборник трудов Национальной научно-практической конференции.: М.: РТУ МИРЭА, 2022. С. 261–264.
It is not a trivial task to develop an effective overhead power line short circuit sensor while being restricted on weight, dimensions, power consumption, and the relative position of the sensor and the power line wire. Traditionally, a current transformer similar to a Rogowski coil is used as a sensor, followed up by either a ...
Added: May 21, 2023
Parfenyev V., Mogilevskiy E., Falkovich G., Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 2023 Vol. 107 No. 5 Article 054114
We suggest a new computer-assisted approach to the development of turbulence theory. It allows one to impose lower and upper bounds on correlation functions using sum-of-squares polynomials. We demonstrate it on the minimal cascade model of two resonantly interacting modes when one is pumped and the other dissipates. We show how to present correlation functions ...
Added: May 16, 2023
Koniakhin S., Utesov O., Yashenkin A., Physical Review Research 2023 Vol. 5 No. 1 Article 013153
Modification of optical phonon spectra in contacting nonpolar nanoparticles compared to single particles is studied. Optical phonons in dielectric and semiconducting particles obey the Euclidean metric Klein-Fock-Gordon equation with Dirichlet boundary conditions. This equation is supposed to be solved numerically for manifolds of cojoined spheres. It is proposed to replace this problem with the simpler-to-solve ...
Added: March 6, 2023
Kharitonov I. A., В кн.: Проблемы разработки перспективных микро- и наноэлектронных систем – 2021 (МЭС-2021)Вып. 2.: ИППМ РАН, 2021. С. 73–80.
Описаны дополнения к стандартным SPICE моделям МОП элементов схем, учитывающие эф-фекты их старения, обусловленные влиянием горячих но-сителей, пробоя диэлектрика и электромиграции. Наборы таких моделей вместе со средствами определения их параметров и средствами SPICE моделирования объ-единены в подсистему SPICE моделирования КМОП схем с учетом факторов старения и оценки параметров надеж-ности и времени бессбойной работы. Приведены примеры ...
Added: June 8, 2022
Tikhonov E., Sneps-Sneppe M., International Journal of Open Information Technologies 2019 Vol. 7 No. 7 P. 13–26
The article introduces the theoretical foundations of the modern method of storing, transmitting and processing signals: digital processing. It’s a way to use relatively small number of values instead of continuous real signal.
For example, when transmitting information in telephony, speech is concentrated in the bandwidth up to 4 kHz. But we need doubled frequency 8 ...
Added: April 9, 2022
Звягинцев Д. Е., Елисеева А. В., Куликов Н. А. et al., В кн.: Международный форум «Микроэлектроника-2020». Школа молодых ученых. Сборник тезисов. Республика Крым, г. Ялта, 21-25 сентября 2020 г.: М.: МАКС Пресс, 2020. С. 232–235.
Based on the results of measuring the characteristics of CMOS ICs in the dose range up to 0.5 Mrad with an intensity of 0.1 rad/s, the changes in the concentration of defects Nit, Not were calculated, and the parameters of SPICE models of MOS transistors IC were identified. Circuitry modeling made it possible to estimate ...
Added: December 5, 2020
A. Savostianov, A. Shapoval, M. S., Entropy 2020 Vol. 22 P. 945
We establish the similarity in two model-based reconstructions of the coupling between the polar magnetic fields of the Sun represented by the solar faculae time series. The reconstructions are inferred from the pair of the coupled oscillators modelled with the Van der Pol and Kuramoto equations. They are associated with the substantial simplification of solar ...
Added: September 8, 2020
Yelizarov (Elizarov) A. A., Nazarov I., Skuridin A., , in: 14th European Conference on Antennas and Propagation (EuCAP 2020), 15 - 20 March 2020 Copenhagen, Denmark. Catalog number: CFP2077B-ART. ISBN:978-88-31299-00-8.: IEEE, 2020. P. 1–4.
The paper presents the results of computer simulation of electromagnetic wave propagation in a segment of rectangular waveguide that has one of its wide walls made in the form of a mushroom-shaped modulated metastructure. We used electromagnetic simulation program Ansoft HFSS to obtain the field distribution, characteristics of the complex transmission coefficient S 21 and ...
Added: August 20, 2020
Savostianov A., Shapoval S., Shnirman M. G., Communications in Nonlinear Science and Numerical Simulation 2020 Vol. 83 Article 105149
The objective of this paper is to establish that algorithms, which reconstruct the coupling between solar proxies based on the properties of the Kuramoto equations, and algorithms, based on the van der Pol equations, might produce similar estimates. To this end, the inverse problem is formulated as follows: reconstruct the coupling based on the solutions ...
Added: December 23, 2019
Kuznetsov A., Kuznetsov S., Shchegoleva N. et al., Physica D: Nonlinear Phenomena 2019 Vol. 398 P. 1–12
A problem of synchronization of quasiperiodic oscillations is discussed in application to an example of coupled systems with autonomous quasiperiodic dynamics. Charts of Lyapunov exponents are presented that reveal characteristic domains on the parameter plane such as oscillator death, complete synchronization, phase synchronization of quasiperiodic oscillations, broadband synchronization, broadband quasiperiodicity. Features of each kind of ...
Added: December 2, 2019
Kovaleva M., Kosevich Y., Smirnov V. et al., Communications in Nonlinear Science and Numerical Simulation 2019 Vol. 74 P. 138–146
oscillators. The only known realization of similar process in the short homogenous chain with more then two elements refers to the three-well quantum system with the same coupling between the wells providing the special condition on the equations describing the system. However, this condition does not appear to hold in classical homogenous cou- pled systems, ...
Added: November 27, 2019
Victor K., Kovaleva M., Jayaprakash K. et al., Chaos 2016 Vol. 26 No. 073102 P. 1–12
In the present paper, we study the mechanism of formation and bifurcations of highly nonstationary
regimes manifested by different energy transport intensities, emerging in an anharmonic trimer
model. The basic model under investigation comprises a chain of three coupled anharmonic
oscillators subject to localized excitation, where the initial energy is imparted to the first oscillator
only. We report the ...
Added: February 28, 2019
Gourary M. M., Rusakov S. G., Ulyanov S. et al., , in: Proceedings of IEEE East-West Design & Test Symposium (EWDTS'2018).: IEEE Computer Society, 2018. P. 123–128.
This paper presents a new integration technique for time-domain simulation of nonlinear electronic circuits. The new technique exploits A-stable single-step integration methods of order 1 up to 4 obtained by applying the Obreshkov formula to charge oriented circuit equations. The predictor-corrector algorithm exploited in the transient analysis for solving the initial value problem is described. ...
Added: February 12, 2019
Гурарий М. М., Жаров М. М., Русаков С. Г. et al., Наноиндустрия 2018 № 82 С. 410–411
The paper considers the problems of envelope following method construction for determining transient response and steady state of integrated circuits. The envelope following algorithms based on using one-step high order integration methods have been offered. ...
Added: February 12, 2019
Гурарий М. М., Жаров М. М., Русаков С. Г. et al., Журнал радиоэлектроники 2018 № 5 С. 5
The formalized approach for periodic distortion analysis is presented. The computational method is based on exploitation of the properties of the simplified Newton iterative process to solve nonlinear problems in functional space. The numerical scheme of periodic distortion analysis is described. Unlike Volterra series this technique doesn’t require computation of the second and third derivatives ...
Added: February 12, 2019
Гурарий М. М., Жаров М. М., Русаков С. Г. et al., Проблемы разработки перспективных микро- и наноэлектронных систем (МЭС) 2018 № 1 С. 103–108
The application of conventional transient analysis to find the periodic steady-state solution often results in a long simulation time and hence special purpose means are needed. Unlike the transient analysis the periodic steady-state analysis solves a periodic boundary-value problem. The shooting-Newton method transforms the solution of the periodic boundary-value problem to the solution of sequence ...
Added: February 12, 2019
Гурарий М. М., Жаров М. М., Рассадин А. Э. et al., Проблемы разработки перспективных микро- и наноэлектронных систем (МЭС) 2018 № 1 С. 83–87
One of the promising directions in Low Power researches is associated with ferroelectric materials whose effectiveness is based on the existence of two stable states and on the negative differential capacitance in charge-voltage characteristics. The advantages are usually exercised in chains comprising both ferroelectric and traditional nonlinear capacitances (e.g. MOSFET gate) which can contain floating ...
Added: February 12, 2019
Гурарий М. М., Жаров М. М., Русаков С. Г. et al., Информационные технологии 2018 Т. 24 № 9 С. 563–572
Main stages of projective model order reduction (MOR) methods for electrical circuits include model construction by Pade approximation, implementation of Krylov subspace methods for essential decrease of computational noise, application of congruent transform to save circuit passivity, using block-Krylov methods for multiport circuits and multipoint rational-Krylov algorithms to mitigate the redundancy of reduced models. The ...
Added: February 12, 2019
Гурарий М. М., Жаров М. М., Русаков С. Г. et al., Информационные технологии 2018 Т. 24 № 7 С. 435–444
The directions of improvement of minimax methods for circuit design problems are considered. The choices of generalized quality criterion for the circuit design is discussed. It is concluded that the minimax criterion has advantages over other formulations of design targets. New approach to setting of individual objectives for each performance indicator is proposed. The approach ...
Added: February 12, 2019
Margarita Kovaleva, Manevitch L. I., Pilipchuk V., EPL 2017 Vol. 120 No. 30007 P. 1–6
In our earlier studies, we found the effect of non-conventional synchronization, which
is a specific type of nonlinear stable beating in the system of two weakly coupled autogenerators
with hard excitation given by generalized van der Pol-Duffing characteristics. The corresponding
synchronized dynamics are due to a new type of attractor in a reduced phase space of the system.
In ...
Added: January 22, 2019
Dvornikov O., Dziatlau V. L., Prokopenko N. N. et al., , in: 2017 International Siberian Conference on Control and Communications (SIBCON).: IEEE, 2017. P. 1–6.
The article considers a choice of CAD system and
SPICE-models for the circuit simulation of characteristics of the
bipolar (BiJFET) analog integrated circuits (IC) at the exposure
of the penetrating radiation (PR) and the low temperatures. The
authors suggest a modified SPICE-model, which describes the
nonmonotonic change of the peak drain current and the slope of
the p-n junction FET (JFET) ...
Added: July 16, 2018
Гурарий М. М., Жаров М. М., Русаков С. Г. et al., Вестник Рязанского государственного радиотехнического университета 2018 № 64 С. 35–45
The problem of simulation of electronic circuits involving linear multi-terminal blocks described by rational and exponential-rational frequency domain transfer functions is considered. The aim is to develop methods, computer algorithms and methodological guidelines to provide the inclusion of arbitrary linear blocks into a set of circuit elements existing in typical circuit simulation analyses. It is ...
Added: July 12, 2018