Pub Date : 2022-05-31DOI: 10.18500/0869-6632-2022-30-3-373-382
I. Nuidel
This year 2022, Vladimir Grigorievich celebrated his seventy-fifth anniversary. We, his students and colleagues, sincerely congratulate him on his birthday and wish him health, fulfillment of personal and creative plans!
{"title":"On the 75th anniversary of Vladimir G. Yakhno","authors":"I. Nuidel","doi":"10.18500/0869-6632-2022-30-3-373-382","DOIUrl":"https://doi.org/10.18500/0869-6632-2022-30-3-373-382","url":null,"abstract":"This year 2022, Vladimir Grigorievich celebrated his seventy-fifth anniversary. We, his students and colleagues, sincerely congratulate him on his birthday and wish him health, fulfillment of personal and creative plans!","PeriodicalId":41611,"journal":{"name":"Izvestiya Vysshikh Uchebnykh Zavedeniy-Prikladnaya Nelineynaya Dinamika","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89145276","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-05-31DOI: 10.18500/0869-6632-2022-30-3-322-330
S. Polevaia, Maria E. Khalak, K. Lipatov, Natalya Zarechnova, M. Cirkova, E. Eremin, N. Bulanov
The mechanisms of retrograde or anterograde neuronal transport ensure the migration of SARS-CoV-2 viruses to motor and sensory terminals, which can provoke significant distortions in the processes of information pattern recognition and the formation of action programs. The purpose of this study is to experimentally determine the dynamic modes of the cognitive system in patients with COVID-19. Cognitive processes are displayed in the space of parameters of sensorimotor activity when solving problems of different levels of complexity on the COGNITOM WEB platform. Patients and healthy individuals are presented with the same sets of stimuli in the same functional contexts. Covid-specific modes of information processing were manifested in a sharp decrease in the speed of cognitive processes and an increase in the number of missed target events.
{"title":"Clinical aspects of nonlinear dynamics of cognitive processes: features of sensorimotor activity in patients at the clinical phase of COVID-19","authors":"S. Polevaia, Maria E. Khalak, K. Lipatov, Natalya Zarechnova, M. Cirkova, E. Eremin, N. Bulanov","doi":"10.18500/0869-6632-2022-30-3-322-330","DOIUrl":"https://doi.org/10.18500/0869-6632-2022-30-3-322-330","url":null,"abstract":"The mechanisms of retrograde or anterograde neuronal transport ensure the migration of SARS-CoV-2 viruses to motor and sensory terminals, which can provoke significant distortions in the processes of information pattern recognition and the formation of action programs. The purpose of this study is to experimentally determine the dynamic modes of the cognitive system in patients with COVID-19. Cognitive processes are displayed in the space of parameters of sensorimotor activity when solving problems of different levels of complexity on the COGNITOM WEB platform. Patients and healthy individuals are presented with the same sets of stimuli in the same functional contexts. Covid-specific modes of information processing were manifested in a sharp decrease in the speed of cognitive processes and an increase in the number of missed target events.","PeriodicalId":41611,"journal":{"name":"Izvestiya Vysshikh Uchebnykh Zavedeniy-Prikladnaya Nelineynaya Dinamika","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81463786","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-05-31DOI: 10.18500/0869-6632-2022-30-3-299-310
A. Bakhshiev, A. Demcheva
The purpose of this work is to develop a compartment spiking neuron model as an element of growing neural networks. Methods. As part of the work, the CSNM is compared with the Leaky Integrate-and-Fire model by comparing the reactions of point models to a single spike. The influence of hyperparameters of the proposed model on neuron excitation is also investigated. All the described experiments were carried out in the Simulink environment using the tools of the proposed library. Results. It was concluded that the proposed model is able to qualitatively reproduce the reaction of the point classical model, and the tuning of hyperparameters allows reproducing the following patterns of signal propagation in a biological neuron: a decrease in the maximum potential and an increase in the delay between input and output spikes with an increase in the size of the neuron or the length of the dendrite, as well as an increase in the potential with an increase in the number of active synapses. Conclusion. The proposed compartment spiking neuron model allows to describe the behavior of biological neurons at the level of pulse signal conversion. The hyperparameters of the model allow tuning the neuron responses at fixed other neuron parameters. The model can be used as a part of spiking neural networks with details at the level of compartments of neurons dendritic trees.
{"title":"Compartmental spiking neuron model CSNM","authors":"A. Bakhshiev, A. Demcheva","doi":"10.18500/0869-6632-2022-30-3-299-310","DOIUrl":"https://doi.org/10.18500/0869-6632-2022-30-3-299-310","url":null,"abstract":"The purpose of this work is to develop a compartment spiking neuron model as an element of growing neural networks. Methods. As part of the work, the CSNM is compared with the Leaky Integrate-and-Fire model by comparing the reactions of point models to a single spike. The influence of hyperparameters of the proposed model on neuron excitation is also investigated. All the described experiments were carried out in the Simulink environment using the tools of the proposed library. Results. It was concluded that the proposed model is able to qualitatively reproduce the reaction of the point classical model, and the tuning of hyperparameters allows reproducing the following patterns of signal propagation in a biological neuron: a decrease in the maximum potential and an increase in the delay between input and output spikes with an increase in the size of the neuron or the length of the dendrite, as well as an increase in the potential with an increase in the number of active synapses. Conclusion. The proposed compartment spiking neuron model allows to describe the behavior of biological neurons at the level of pulse signal conversion. The hyperparameters of the model allow tuning the neuron responses at fixed other neuron parameters. The model can be used as a part of spiking neural networks with details at the level of compartments of neurons dendritic trees.","PeriodicalId":41611,"journal":{"name":"Izvestiya Vysshikh Uchebnykh Zavedeniy-Prikladnaya Nelineynaya Dinamika","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87428820","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-05-31DOI: 10.18500/0869-6632-2022-30-3-268-275
I. Yusipov, E. Kozinov, Tatjana Laptyeva
The purpose of our work is to investigate asymptotic stationary states of an open disordered many-body quantum model which is characterized by an ergodic — many-body localization (MBL) phase transition. To find these states, we use the neural-network ansatz, a new method of modeling complex many-body quantum states discussed in the recent literature. Our main result is that that the ergodic phase — MBL transition is detectable in the performance of the neural network that is trained to reproduce the asymptotic states of the model. While the network is able to reproduce, with a relatively high accuracy, ergodic states, it fails to do so when the model system enter the MBL phase. We conclude that MBL features of the model translate into the cost function landscape which becomes corrugated and acquires many local minima.
{"title":"Transition from ergodic to many-body localization regimes in open quantum systems in terms of the neural-network ansatz","authors":"I. Yusipov, E. Kozinov, Tatjana Laptyeva","doi":"10.18500/0869-6632-2022-30-3-268-275","DOIUrl":"https://doi.org/10.18500/0869-6632-2022-30-3-268-275","url":null,"abstract":"The purpose of our work is to investigate asymptotic stationary states of an open disordered many-body quantum model which is characterized by an ergodic — many-body localization (MBL) phase transition. To find these states, we use the neural-network ansatz, a new method of modeling complex many-body quantum states discussed in the recent literature. Our main result is that that the ergodic phase — MBL transition is detectable in the performance of the neural network that is trained to reproduce the asymptotic states of the model. While the network is able to reproduce, with a relatively high accuracy, ergodic states, it fails to do so when the model system enter the MBL phase. We conclude that MBL features of the model translate into the cost function landscape which becomes corrugated and acquires many local minima.","PeriodicalId":41611,"journal":{"name":"Izvestiya Vysshikh Uchebnykh Zavedeniy-Prikladnaya Nelineynaya Dinamika","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79891915","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-05-31DOI: 10.18500/0869-6632-2022-30-3-261-267
A. Krylov
The purpose of this work is to consider the possibility of nonlinear influence of social media algorithms to the users opinions. A social media inherent algorithm of information ranging interacts with the user inherent bias and that increases the positive feedback loop. The result of this interaction is receiving by the user the only one side of an opinion and the user looses the very possibility to receive the opposite information. The conditions for the society polarization by means of a social media are investigated. Methods. In this paper, a model of users opinions dynamics was studied. There are two types of user’s strategy was considered: strategy 1, when a user puts "like" on information with proximity to his own view, but differed in any direction; strategy 2, when a user puts "like" on information along his own view, but more strict. Results. It was shown that for strategy 1 the society comes to a consensus, but for strategy 2 the society polarizes to the two opposite views. Considering the mixed society, where both strategies are used, it was found that the bifurcation to the society polarization appears when there are more than 40% of people using strategy 2. Conclusion. The inherent algorithms of social media, which are created to adapt in coming information to the user’s interests, creates or amplifies the bias of the user’s opinion and locks the user in an information chamber of only one type. That effect is substantially created by the social media algorithm itself. Thus interaction of users within a social media may increase the polarization of a society more than if they would communicate offline.
{"title":"Bifurcation of public opinion created by social media algorithms","authors":"A. Krylov","doi":"10.18500/0869-6632-2022-30-3-261-267","DOIUrl":"https://doi.org/10.18500/0869-6632-2022-30-3-261-267","url":null,"abstract":"The purpose of this work is to consider the possibility of nonlinear influence of social media algorithms to the users opinions. A social media inherent algorithm of information ranging interacts with the user inherent bias and that increases the positive feedback loop. The result of this interaction is receiving by the user the only one side of an opinion and the user looses the very possibility to receive the opposite information. The conditions for the society polarization by means of a social media are investigated. Methods. In this paper, a model of users opinions dynamics was studied. There are two types of user’s strategy was considered: strategy 1, when a user puts \"like\" on information with proximity to his own view, but differed in any direction; strategy 2, when a user puts \"like\" on information along his own view, but more strict. Results. It was shown that for strategy 1 the society comes to a consensus, but for strategy 2 the society polarizes to the two opposite views. Considering the mixed society, where both strategies are used, it was found that the bifurcation to the society polarization appears when there are more than 40% of people using strategy 2. Conclusion. The inherent algorithms of social media, which are created to adapt in coming information to the user’s interests, creates or amplifies the bias of the user’s opinion and locks the user in an information chamber of only one type. That effect is substantially created by the social media algorithm itself. Thus interaction of users within a social media may increase the polarization of a society more than if they would communicate offline.","PeriodicalId":41611,"journal":{"name":"Izvestiya Vysshikh Uchebnykh Zavedeniy-Prikladnaya Nelineynaya Dinamika","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87182954","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-03-31DOI: 10.18500/0869-6632-2022-30-2-132-151
A. Kornuta, V. Lukianenko
Purpose of this work is to study the initial-boundary value problem for a parabolic functional-differential equation in an annular region, which describes the dynamics of phase modulation of a light wave passing through a thin layer of a nonlinear Kerr-type medium in an optical system with a feedback loop, with a rotation transformation (corresponds the involution operator) and the Neumann conditions on the boundary in the class of periodic functions. A more detailed study is made of spatially inhomogeneous stationary solutions bifurcating from a spatially homogeneous stationary solution as a result of a bifurcation of the “fork” type and time-periodic solutions of the “traveling wave” type. Methods. To represent the original equation in the form of nonlinear integral equations, the Green’s function is used. The method of central manifolds is used to prove the theorem on the existence of solutions of the indicated equation in a neighborhood of the bifurcation parameter and to study their asymptotic form. Numerical modeling of spatially inhomogeneous solutions and traveling waves was carried out using the Galerkin method. Results. Integral representations of the considered problem are obtained depending on the form of the linearized operator. Using the method of central manifolds, a theorem on the existence and asymptotic form of solutions of the initial-boundary value problem for a functional-differential equation of parabolic type with an involution operator on an annulus is proved. As a result of numerical modeling based on Galerkin approximations, in the problem under consideration, approximate spatially inhomogeneous stationary solutions and time-periodic solutions of the traveling wave type are constructed. Conclusion. The proposed scheme is applicable not only to involutive rotation operators and Neumann conditions on the boundary of the ring, but also to other boundary conditions and circular domains. The representation of the initial-boundary value problem in the form of nonlinear integral equations of the second kind allows one to more simply find the coefficients of asymptotic expansions, prove existence and uniqueness theorems, and also use a different number of expansion coefficients of the nonlinear component in the right-hand side of the original equation in the neighborhood of the selected solution (for example, stationary). Visualization of the numerical solution confirms the theoretical calculations and shows the possibility of forming complex phase structures.
{"title":"Dynamics of solutions of nonlinear functional differential equation of parabolic type","authors":"A. Kornuta, V. Lukianenko","doi":"10.18500/0869-6632-2022-30-2-132-151","DOIUrl":"https://doi.org/10.18500/0869-6632-2022-30-2-132-151","url":null,"abstract":"Purpose of this work is to study the initial-boundary value problem for a parabolic functional-differential equation in an annular region, which describes the dynamics of phase modulation of a light wave passing through a thin layer of a nonlinear Kerr-type medium in an optical system with a feedback loop, with a rotation transformation (corresponds the involution operator) and the Neumann conditions on the boundary in the class of periodic functions. A more detailed study is made of spatially inhomogeneous stationary solutions bifurcating from a spatially homogeneous stationary solution as a result of a bifurcation of the “fork” type and time-periodic solutions of the “traveling wave” type. Methods. To represent the original equation in the form of nonlinear integral equations, the Green’s function is used. The method of central manifolds is used to prove the theorem on the existence of solutions of the indicated equation in a neighborhood of the bifurcation parameter and to study their asymptotic form. Numerical modeling of spatially inhomogeneous solutions and traveling waves was carried out using the Galerkin method. Results. Integral representations of the considered problem are obtained depending on the form of the linearized operator. Using the method of central manifolds, a theorem on the existence and asymptotic form of solutions of the initial-boundary value problem for a functional-differential equation of parabolic type with an involution operator on an annulus is proved. As a result of numerical modeling based on Galerkin approximations, in the problem under consideration, approximate spatially inhomogeneous stationary solutions and time-periodic solutions of the traveling wave type are constructed. Conclusion. The proposed scheme is applicable not only to involutive rotation operators and Neumann conditions on the boundary of the ring, but also to other boundary conditions and circular domains. The representation of the initial-boundary value problem in the form of nonlinear integral equations of the second kind allows one to more simply find the coefficients of asymptotic expansions, prove existence and uniqueness theorems, and also use a different number of expansion coefficients of the nonlinear component in the right-hand side of the original equation in the neighborhood of the selected solution (for example, stationary). Visualization of the numerical solution confirms the theoretical calculations and shows the possibility of forming complex phase structures.","PeriodicalId":41611,"journal":{"name":"Izvestiya Vysshikh Uchebnykh Zavedeniy-Prikladnaya Nelineynaya Dinamika","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75467168","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-03-31DOI: 10.18500/0869-6632-2022-30-2-129-131
I. Sysoev
I do have a big ego! As I often say, modesty is my only vice. If I weren’t so modest, I’d be perfect. J. H. Conway
我确实很自负!正如我常说的，谦虚是我唯一的缺点。如果我不那么谦虚，我就完美了。j·h·康威
{"title":"John Horton Conway","authors":"I. Sysoev","doi":"10.18500/0869-6632-2022-30-2-129-131","DOIUrl":"https://doi.org/10.18500/0869-6632-2022-30-2-129-131","url":null,"abstract":"I do have a big ego! As I often say, modesty is my only vice. If I weren’t so modest, I’d be perfect. J. H. Conway","PeriodicalId":41611,"journal":{"name":"Izvestiya Vysshikh Uchebnykh Zavedeniy-Prikladnaya Nelineynaya Dinamika","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79038670","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-03-31DOI: 10.18500/0869-6632-2022-30-2-239-252
V. Olshanskiy, Dmitry Zlenko, Andrey A Orlov, A. Kasumyan, P. Moller, Eoin MacMahon, Wei Xue
Purpose of this study introduces a multielectrode array (MEA) registration system in order to generate electric field images of the episodic discharges generated by weakly electric fish. A multielectrode registration system has several important features: the design of the multielectrode lattice, the amplifier circuit, the choice of reference points for differential measurements, the recovery of the absolute values of the electric field potentials, and the application of principal components analysis. Methods. There are several advantages of our MEA registration as compared with the traditional twoelectrode registration: (a) the signal-to-noise ratio is significantly increased, (b) it is possible to construct the spatial distribution of the electric field for a single electric discharge, (c) the signals’ sources can be easily separated and identified, and (d) quantitative data on the electrical potential distribution can be obtained throughout the entire experimental tank. Results. The results illustrate an example of applied MEA registration. Electric discharges were recorded from a weakly electric catfish, Clarias gariepinus, using an array of 8 x 8 electrodes at a sampling rate of 20 kHz. Data show oscillograms and two-dimensional plots of the spatial distribution of the electrical field.
{"title":"Multielectrode registration of episodic discharges generated by weakly electric fishes","authors":"V. Olshanskiy, Dmitry Zlenko, Andrey A Orlov, A. Kasumyan, P. Moller, Eoin MacMahon, Wei Xue","doi":"10.18500/0869-6632-2022-30-2-239-252","DOIUrl":"https://doi.org/10.18500/0869-6632-2022-30-2-239-252","url":null,"abstract":"Purpose of this study introduces a multielectrode array (MEA) registration system in order to generate electric field images of the episodic discharges generated by weakly electric fish. A multielectrode registration system has several important features: the design of the multielectrode lattice, the amplifier circuit, the choice of reference points for differential measurements, the recovery of the absolute values of the electric field potentials, and the application of principal components analysis. Methods. There are several advantages of our MEA registration as compared with the traditional twoelectrode registration: (a) the signal-to-noise ratio is significantly increased, (b) it is possible to construct the spatial distribution of the electric field for a single electric discharge, (c) the signals’ sources can be easily separated and identified, and (d) quantitative data on the electrical potential distribution can be obtained throughout the entire experimental tank. Results. The results illustrate an example of applied MEA registration. Electric discharges were recorded from a weakly electric catfish, Clarias gariepinus, using an array of 8 x 8 electrodes at a sampling rate of 20 kHz. Data show oscillograms and two-dimensional plots of the spatial distribution of the electrical field.","PeriodicalId":41611,"journal":{"name":"Izvestiya Vysshikh Uchebnykh Zavedeniy-Prikladnaya Nelineynaya Dinamika","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84529353","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-03-31DOI: 10.18500/0869-6632-2022-30-2-233-238
O. Sokol-Kutylovskii
The purpose of this work is to show the possibility of using a magnetic field-controlled nonlinearity of the amplitude change in an oscillatory LC-circuit containing a core made of an amorphous ferromagnetic alloy with compensated longitudinal magnetostriction, which makes it possible to obtain a high conversion coefficient of weak magnetic field sensors operating at room temperature. Methods. A practical method for constructing magnetomodulation sensors of magnetic induction with a fixed magnetic displacement field, which corresponds to the maximum steepness of the nonlinear characteristic of an oscillatory circuit with an amorphous ferromagnetic core in the region of autoparametric resonance, is considered. Results. It has been shown that the stable conversion factor of a 35 mm long sensor based on an oscillatory circuit with autoparametric amplification at a modulation frequency of 256 kHz can reach 10 mV/nT, which allows, with the available element base, to record signals of a weak alternating magnetic field with an amplitude of 0.03 pT/Hz1/2 in the frequency range 10...1000 Hz. It is noted that the excitation of the sensor by a weak harmonic magnetic field of a high frequency and the constant presence of the amorphous ferromagnetic core near the state of technical saturation significantly reduces the level of intrinsic magnetic noise of the magnetomodulation sensor. Conclusion. Magnetomodulation sensors with autoparametric amplification of the magnetic induction signal can find application in geophysics, magnetobiology and biomedicine.
{"title":"Nonlinear amplification of the magnetic induction signal in a magnetomodulation sensor with an amorphous ferromagnetic core","authors":"O. Sokol-Kutylovskii","doi":"10.18500/0869-6632-2022-30-2-233-238","DOIUrl":"https://doi.org/10.18500/0869-6632-2022-30-2-233-238","url":null,"abstract":"The purpose of this work is to show the possibility of using a magnetic field-controlled nonlinearity of the amplitude change in an oscillatory LC-circuit containing a core made of an amorphous ferromagnetic alloy with compensated longitudinal magnetostriction, which makes it possible to obtain a high conversion coefficient of weak magnetic field sensors operating at room temperature. Methods. A practical method for constructing magnetomodulation sensors of magnetic induction with a fixed magnetic displacement field, which corresponds to the maximum steepness of the nonlinear characteristic of an oscillatory circuit with an amorphous ferromagnetic core in the region of autoparametric resonance, is considered. Results. It has been shown that the stable conversion factor of a 35 mm long sensor based on an oscillatory circuit with autoparametric amplification at a modulation frequency of 256 kHz can reach 10 mV/nT, which allows, with the available element base, to record signals of a weak alternating magnetic field with an amplitude of 0.03 pT/Hz1/2 in the frequency range 10...1000 Hz. It is noted that the excitation of the sensor by a weak harmonic magnetic field of a high frequency and the constant presence of the amorphous ferromagnetic core near the state of technical saturation significantly reduces the level of intrinsic magnetic noise of the magnetomodulation sensor. Conclusion. Magnetomodulation sensors with autoparametric amplification of the magnetic induction signal can find application in geophysics, magnetobiology and biomedicine.","PeriodicalId":41611,"journal":{"name":"Izvestiya Vysshikh Uchebnykh Zavedeniy-Prikladnaya Nelineynaya Dinamika","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86858800","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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