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Experimental methods for the study of spin waves 研究自旋波的实验方法
IF 0.4 Pub Date : 2022-09-30 DOI: 10.18500/0869-6632-003002
Sergei Gerus, E. Lock
Purpose of this paper is to give an overview of various experimental methods for investigation of spin waves characteristics. Methods. The paper presents a description of a number of experimental techniques, such as the probing method, the phase shift method, the method of measure of equiphase dependences, the method of intersecting wave beams, and the use of Fourier analysis of the complex transfer coefficient of spin waves to determine their spatial spectrum. The conditions for using the listed methods and the characteristics of spin waves that one can measure by means of these methods are discussed in detail. Results. The paper presents a number of fundamental results that have been obtained on the basis of described methods. For example, the probing method was successfully used to visualize the amplitude and phase distribution of spin waves in the ferrite film plane and, in particular, it was used to experimentally confirm the previously predicted appearance of super-directed propagation of surface and backward volume spin wave beams. The phase-shift measurement method made it possible to measure the dispersion dependence of spin waves in ferrite structures such as ferrite – metal and ferrite – dielectric – metal, where measurements cannot be made by the probing method. The method of measuring equiphase dependences of spin waves made it possible, in particular, to measure for the first time with great accuracy the value of an external magnetic field magnetizing an yttrium iron garnet film to saturation in various crystallographic directions. The method of intersecting wave beams has made it possible to clarify the mechanism of parametric instability of surface spin waves. Fourier analysis of the complex transfer coefficient of spin waves allowed to determine the spatial spectrum of these waves; in particular, dispersion dependences of higher modes of the backward volume spin wave were first measured using this method. Conclusion. The methods described in this paper may continue to be successfully used for investigations of spin waves characteristics in various magnon crystals, ferrite structures and meta-structures.
本文综述了研究自旋波特性的各种实验方法。方法。本文介绍了一些实验技术,如探测法、相移法、等相依赖测量法、相交波束法,以及利用傅立叶分析自旋波的复传递系数来确定其空间谱。详细讨论了这些方法的使用条件和测量自旋波的特性。结果。本文介绍了在上述方法的基础上所得到的一些基本结果。例如,探测方法成功地可视化了自旋波在铁氧体膜平面上的振幅和相位分布,特别是,它被用来实验证实了先前预测的表面和反向体积自旋波光束的超定向传播的出现。相移测量方法使得测量铁氧体结构(如铁氧体-金属和铁氧体-介电金属)中自旋波的色散依赖成为可能,而探测方法无法进行测量。测量自旋波的等相依赖关系的方法,特别是,第一次以极高的精度测量了在不同晶体学方向上磁化钇铁石榴石膜至饱和的外部磁场的值。相交波束的方法使得阐明表面自旋波参数不稳定的机理成为可能。傅里叶分析的复传递系数的自旋波允许确定这些波的空间频谱;特别地,用这种方法首次测量了后体积自旋波的高模色散依赖性。结论。本文所描述的方法可以继续成功地用于研究各种磁振子晶体、铁氧体结构和元结构中的自旋波特性。
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引用次数: 0
Magnetoimpedance modulation in a planar magnetoelectric ferromagnet – piezoelectric heterostructure 平面磁电铁磁-压电异质结构中的磁阻抗调制
IF 0.4 Pub Date : 2022-09-30 DOI: 10.18500/0869-6632-003004
D. Burdin, D. Chashin, N. Ekonomov, Y. Fetisov
The effect of a giant change in the impedance of ferromagnetic materials under the action of an external magnetic field is widely used to elaborate highly sensitive magnetic field sensors. The purpose of this work was to demonstrate the possibilities of controlling the magnitude of the magnetoimpedance in a ferromagnet-piezoelectric structure using an electric field. Method. In the measurements, we used a planar heterostructure containing a strip of amorphous ferromagnet Metglas, 25 µm thick and 25 mm long, mechanically connected to a bimorph, 0.5 mm thick and 30 mm long, made of piezoceramic lead zirconate titanate. An alternating current with a frequency of 30 kHz...10 MHz was passed through the strip, the structure was placed in a longitudinal permanent magnetic field of 0...500 Oe, an alternating electric field up to 400 V/cm with a frequency of 60 Hz...50 kHz was applied to the piezobimorph, and the change in the impedance of the strip was recorded. Results. In the absence of electric field, a narrowing of the magnetoimpedance magnetic fields region with a decrease in the current frequency and saturation of the magnetoimpedance in magnetic fields above 334 Oe were observed. The maximum value of the magnetoimpedance reached 18% at a current frequency of 1 MHz. The application of electric field to the piezobimorph led to the appearance of side components in the frequency spectrum of the voltage on the ferromagnetic layer, which indicates the amplitude-phase modulation of the magnetoimpedance. The amplitude modulation coefficient reached a maximum value of 6 · 10−3 for the electric field frequency of 11.2 kHz and decreased monotonically with an increase in the magnetic field. The modulation of the magnetoimpedance occurs due to the converse magnetoelectric effect in the heterostructure, which leads to the modulation of the magnetization of the ferromagnetic layer, and the subsequent change in the relative magnetic permeability and thickness of the skin layer in the ferromagnet. The results obtained can be used to create magnetic fields sensors controlled by an electric field.
铁磁材料在外加磁场作用下阻抗发生巨大变化的效应被广泛用于制作高灵敏度磁场传感器。这项工作的目的是证明利用电场控制铁磁-压电结构中磁阻抗大小的可能性。方法。在测量中,我们使用了一个平面异质结构,其中包含一条25 μ m厚、25 mm长的非晶铁磁metglass,机械连接到0.5 mm厚、30 mm长的双晶片上,该双晶片由压电锆钛酸铅制成。频率为30khz的交流电通过兆赫的条带,将结构置于0…500的纵向永久磁场中例如,频率为60hz,电压高达400v /cm的交变电场……在压电双晶片上施加50 kHz,记录带材阻抗的变化。结果。在没有电场的情况下,随着电流频率的降低,磁阻抗磁场区域缩小,并且在334 Oe以上的磁场中磁阻抗达到饱和。在电流频率为1mhz时,磁阻抗最大值达到18%。电场作用于压电双晶片,导致铁磁层电压频谱出现侧分量,表明磁阻抗的幅相调制。当电场频率为11.2 kHz时,调幅系数达到最大值6·10−3,并随着磁场的增大而单调减小。磁阻抗的调制是由于异质结构中的逆磁电效应导致铁磁层磁化强度的调制,从而导致铁磁层中相对磁导率和蒙皮层厚度的变化。所得结果可用于制造由电场控制的磁场传感器。
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引用次数: 0
Influence of three-magnon decays on electromotive force generation by magnetostatic surface waves in integral YIG – Pt structures 三磁振子衰减对整体YIG - Pt结构中静磁表面波产生电动势的影响
IF 0.4 Pub Date : 2022-09-30 DOI: 10.18500/0869-6632-003008
M. Seleznev, Y. Nikulin, Y. Khivintsev, S. Vysotskii, A. Kozhevnikov, V. Sakharov, G. Dudko, Evgenij Pavlov, Y. Filimonov
The purpose of this work is to find out the influence of three-magnon decay processes on the electromotive force (EMF (U)) generated by propagating magnetostatic surface waves (MSSW) with the help of the inverse spin Hall effect in the “yttrium-iron garnet (YIG) – platinum (Pt)” structure. Methods. The experiments were carried out using the delay line structures based on YIG films with the thickness of 8.8 and 14.6 µm, on the surface of which antennas were formed for MSSWs excitation and reception and a Pt film between antennas. Results. It was shown that the three-magnon parametric instability can significantly change the character of EMF dependences on frequency and on power of MSSW that resulted both from the effect of power limitation and from the participation of parametric spin waves (PSW) and secondary spin waves (SSW) in the processes of electron-magnon scattering on the YIG/Pt border. Conclusion. It was demonstrated that the effect of amplification of EMF generation at the frequencies that are close to the long-wavelength border of the MSSW spectrum is related with the PSW and SSW population of the region of anisotropic dipole-exchange spin waves spectrum, which is characterized by the presence of singularities in the magnon density of states (Van Hove singularities).
本研究的目的是在“钇-铁石榴石(YIG) -铂(Pt)”结构中,利用逆自旋霍尔效应研究三磁子衰变过程对传播静磁表面波(MSSW)产生的电动势(EMF (U))的影响。方法。实验采用厚度分别为8.8µm和14.6µm的YIG薄膜作为延迟线结构,在延迟线表面形成用于mssw激励和接收的天线,并在天线之间形成Pt薄膜。结果。结果表明,三磁振子参数不稳定性可以显著改变电动势对频率和功率的依赖特性,这是由于功率限制的影响以及参数自旋波(PSW)和二次自旋波(SSW)参与了YIG/Pt边界上的电子-磁振子散射过程。结论。结果表明,在接近MSSW谱长波长边界的频率处,电磁场产生的放大效应与各向异性偶极交换自旋波谱区域的PSW和SSW居数有关,其特征是磁振子密度存在奇点(Van Hove奇点)。
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引用次数: 1
Spectrum of exchange spin waves in a one-dimensional magnonic crystal with antiferromagnetic ordering 反铁磁有序一维磁晶体中交换自旋波的谱
IF 0.4 Pub Date : 2022-09-30 DOI: 10.18500/0869-6632-003009
V. Poimanov
Purpose of the study is to show that the conditions for the propagation of exchanged spin waves (ESWs) in an asymmetric superlattice with antiferromagnetically ordered cells depend significantly on the chirality of the precession of the ESW magnetization (polarization, “magnon pseudospin”). Method. When constructing the EWS spectra, the Croning– Penny model (transfer-matrix method) and the Landau–Lifshitz equation are used to determine the nature of the waves in the cells. In the case of a uniaxial medium, there is only one type of ESW, therefore, when fields are joined at the boundary, the conservation of chirality is an essential factor due to which the ESW in one cell is always traveling, and in the other — evanescent. Thus, a superlattice for ESW is an effective periodic “potential” in which asymmetry can be realized either by applying an external field, or by a difference in the thickness and/or physical properties of the cell materials. Results. Based on the analysis of the spectrum, maps of the transmission zones for ESW of different chirality were constructed in three representations — “Bloch wave number – frequency”, “frequency – relative cell thickness”, as well as in the plane of cell wave numbers. It is shown that the presence of asymmetry leads to a difference in the width of the transmission zones for waves of different chirality. For a finite structure, the frequency dependences of the transmission and reflection coefficients of the ESW are plotted. An increase in the attenuation of the ESW near the boundaries of the transmission zones was also found. Conclusion. The results of the study can be used in the design of magnon valves and other devices based on ESW, in which their chirality can be controlled.
本研究的目的是证明交换自旋波(ESWs)在具有反铁磁有序细胞的非对称超晶格中的传播条件在很大程度上取决于ESW磁化进动的手性(极化,“磁振子伪自旋”)。方法。在构建EWS谱时,采用Croning - Penny模型(传递矩阵法)和Landau-Lifshitz方程来确定细胞内波的性质。在单轴介质的情况下,只有一种类型的ESW,因此,当场在边界处连接时,手性的守恒是一个基本因素,由于这个因素,一个单元中的ESW总是在移动,而在另一个单元中-消失。因此,ESW的超晶格是一个有效的周期性“势”,其中不对称可以通过施加外场或通过电池材料的厚度和/或物理性质的差异来实现。结果。在对波谱分析的基础上,构建了不同手性ESW在“布洛赫波数-频率”、“频率-相对胞厚”以及胞数平面上的透射带图。结果表明,不对称性的存在导致不同手性波的透射区宽度不同。对于有限结构,绘制了波束的透射系数和反射系数与频率的关系。在传输带边界附近的ESW衰减也有所增加。结论。研究结果可用于磁振子阀及其他可控制磁振子手性的电子波器件的设计。
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引用次数: 0
On the anniversary of Yuri P. Sharaevsky 在尤里·p·沙拉耶夫斯基的周年纪念日
IF 0.4 Pub Date : 2022-09-30 DOI: 10.18500/0869-6632-003001
Sergej Grishin
Congratulations to Yuri Pavlovich Sharayevsky on his anniversary.
祝贺尤里·帕夫洛维奇·沙拉耶夫斯基结婚纪念日。
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引用次数: 0
Resonant and nonlinear phenomena during the propagation of magnetostatic waves in multiferroid, semiconductor and metallized structures based on ferromagnetic films and magnonic crystals 基于铁磁薄膜和磁晶体的多铁氧体、半导体和金属化结构中静磁波传播过程中的共振和非线性现象
IF 0.4 Pub Date : 2022-09-30 DOI: 10.18500/0869-6632-003003
M. Morozova, O. Matveev
Purpose of this work is to compile an overview of a new and fruitful scientific direction in magnonics, which grew out of the works of Ph.D., Professor Yuri Pavlovich Sharaevsky, and related to the study of resonant and nonlinear phenomena during the propagation of magnetostatic waves in ferromagnetic films, ferromagnetic films with periodic inhomogeneities (magnonic crystals), coupled (layered and lateral) ferromagnetic structures, as well as ferromagnetic structures with layers of a different physical nature (semiconductor, ferroelectric, piezoelectric, normal metal layers). Methods. Experimental and theoretical methods have been used to study spin-wave excitations in a wide class of structures with ferromagnetic layers. In particular, experimental radiophysical methods of microwave measurements and optical methods of Mandelstam-Brillouin spectroscopy. For the construction of theoretical models, the following methods are used: the method of coupled waves, the method of crosslinking magnetic permeability at the boundaries of layers, the method of transmission matrices, long-wave approximation. Results. The presented results are of general scientific importance for understanding the basic laws of the joint influence of coupling, periodicity and interactions of different physical nature (the influence on the magnetostatic wave of deformation in periodic structures with piezoelectric, electromagnetic wave in structures with ferroelectric, electric current in structures with semiconductor, spin current in structures with normal metal). In applied terms, the identified effects open up wide opportunities for creation of new devices of spin-wave electronics with the possibility of dynamic control of characteristics when changing the electric and magnetic fields, as well as the power of the input signal. Conclusions. The review of the most interesting results obtained by the authors together with Yuri Pavlovich and which are an ideological continuation of the foundations laid by him is given.
本文的目的是概述磁振学中一个新的和富有成果的科学方向,该方向源于Yuri Pavlovich Sharaevsky教授博士的工作,涉及静磁波在铁磁薄膜、具有周期性非均匀性的铁磁薄膜(磁晶体)、耦合(层状和横向)铁磁结构中的共振和非线性现象的研究。以及具有不同物理性质层(半导体、铁电、压电、普通金属层)的铁磁结构。方法。实验和理论方法已被用于研究一类具有铁磁层的结构中的自旋波激发。特别是微波测量的实验放射物理方法和曼德尔斯塔姆-布里渊光谱的光学方法。建立理论模型的方法主要有:耦合波法、层边界交联磁导率法、透射矩阵法、长波近似法。结果。所提出的结果对于理解不同物理性质的耦合、周期性和相互作用共同影响的基本规律(压电周期性结构对形变的静磁波的影响、铁电结构对电磁波的影响、半导体结构对电流的影响、普通金属结构对自旋电流的影响)具有普遍的科学意义。在应用方面,已确定的效应为创建新的自旋波电子设备提供了广泛的机会,这些设备可以在改变电场和磁场时动态控制特性,以及输入信号的功率。结论。对作者与Yuri Pavlovich一起获得的最有趣的结果进行了审查,这些结果是他所奠定的基础的意识形态延续。
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引用次数: 0
Spin-wave diagnostics of epitaxial ferrite-dielectric structures 外延铁氧体-介电结构的自旋波诊断
IF 0.4 Pub Date : 2022-09-30 DOI: 10.18500/0869-6632-003005
V. Tikhonov, V. Gubanov
Purpose of this study is to elucidate the mechanism of transformation of electromagnetic and exchange spin waves (ESW) in a thin transition layer of epitaxial ferrite–dielectric structures, as well as to investigate the possibilities of using short-wave ESW to diagnose magnetic inhomogeneities of epitaxial yttrium-iron garnet (YIG) films. Methods. In this paper, we study the hybridization processes of electromagnetic and exchange spin waves that occur in the transition layer of the YIG film. The features of the dispersion of coupled waves in the vicinity of phase synchronism frequencies under normal and tangential magnetization of the YIG film are investigated. Results. It is shown that within of the thickness transition layer, the dispersion of the excited ESW experiences significant distortions, which manifests itself in frequency shifts of the spin-wave resonance. Based on this, a method for calculating the distribution of spontaneous magnetization over the thickness of the YIG film was proposed, which was used to simulate the processes of excitation of spin-wave resonances. Conclusion. The proposed technique of spin-wave diagnostics of YIG films can be effectively used for non-destructive testing of all types of epitaxial ferrite-dielectric structures, which may be in demand in the field of production and in the field of their practical application.
本研究的目的是阐明电磁和交换自旋波(ESW)在外延铁氧体-介电结构的薄过渡层中的转变机制,并探讨利用短波ESW诊断外延钇-铁石榴石(YIG)薄膜磁性不均匀性的可能性。方法。本文研究了发生在YIG薄膜过渡层的电磁自旋波和交换自旋波的杂化过程。研究了YIG薄膜在正切向磁化和法向磁化下,在相位同步频率附近耦合波的色散特性。结果。结果表明,在厚度过渡层内,受激ESW的色散发生了明显的畸变,表现为自旋波共振的频移。在此基础上,提出了一种计算自发磁化强度随薄膜厚度分布的方法,并用该方法模拟了自旋波共振的激发过程。结论。所提出的YIG薄膜自旋波诊断技术可有效地用于各类外延铁氧体-介电结构的无损检测,在生产领域和实际应用领域都有一定的需求。
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引用次数: 0
Excitation by shot circuited coaxial transducer of magnetostatic modes in rectangular yttrium iron garnet film 矩形钇铁石榴石薄膜中静磁模式的弹路同轴换能器激励
IF 0.4 Pub Date : 2022-09-30 DOI: 10.18500/0869-6632-003010
R. Babichev, G. Babicheva
The purpose of this work is the study of design of new short-circuited coaxial transducer with thin linear jumper, that circuites on both sides of the grounded coaxial cylinder, located above the rectangular iron-yttrium garnet (YIG) film, in homogeneous constant magnetic field with rectangular film along its length or width. The thin linear jumper is directed parallel to the width of the YIG film. Methods. In the CST Microwave Studio environment, an electrodynamic analysis of the model was carried out using the finite element method. To study the efficiency of modes excitation in a ferrite film at different distances between the coaxial transducer and the surface of the YIG film, the frequency dependencies of the inverse losses S11 of the model were calculated. Results. 1. The identification of modes in a homogeneous static magnetic field H, directed parallel to the plane of a rectangular YIG film along its width (y-axis) was carried out. 2. The identification of modes in a homogeneous static magnetic field H directed parallel to the plane of the rectangular YIG film along its length (z-axis) was carried out. 3. A comparison of modes spectra was made at H, directed parallel to the plane of the YIG film along its width (y axis) and length (z axis). Conclusion. In this paper short-circuited transducer with a thin linear jumper, circuited on both sides of the grounded coaxial cylinder, is investigated. By the electrodynamic method distributions of high-frequency magnetic field of the excited magnetostatic modes were calculated and their identification was carried out for two directions of homogeneous static magnetic field: along width and along length of rectangular YIG film. The dependence of number of excited modes on the distance between a short-circuited transducer and rectangular YIG was also studied. A comparison of modes spectra is carried out at H, directed parallel to the plane of the YIG film along its width and length. With this rotation of H vector, the band of effectively excitable modes shifts from 4.6...4.9 GHz to 4.5...4.75 GHz. However, the excitation of these modes in the case of the vector H, directed along the width of YIG film (z-axis), is much more effective in the band 4.65...4.9 GHz than in the case when this vector is directed along the length of YIG film (z-axis). At the same time, excitation of these modes in the case of the vector H, directed along the length of YIG film (z axis) is much more effective in the band 4.4...4.6 GHz.
本工作的目的是研究一种新型的短路同轴换能器的设计,该换能器位于矩形铁钇石榴石(YIG)薄膜上方的接地同轴圆柱体两侧,在均匀恒定磁场中,沿其长度或宽度有矩形薄膜。细线性跳线与YIG薄膜的宽度平行。方法。在CST Microwave Studio环境下,采用有限元法对模型进行了电动力学分析。为了研究在同轴换能器与YIG薄膜表面之间不同距离时铁氧体薄膜中的模式激发效率,计算了模型的逆损耗S11的频率依赖关系。结果。1。在沿宽度(y轴)方向平行于矩形YIG薄膜平面的均匀静态磁场H中,进行了模态识别。2. 在沿长度(z轴)方向平行于矩形YIG薄膜平面的均匀静磁场H下,进行了模态识别。3.在平行于YIG薄膜平面的H处,沿其宽度(y轴)和长度(z轴)比较了模式光谱。结论。本文研究了在接地的同轴圆柱体两侧设置细线跳线的短路换能器。利用电动力学方法计算了受激静磁模的高频磁场分布,并对均匀静磁场沿矩形YIG薄膜宽度和长度两个方向进行了识别。研究了短路换能器与矩形YIG之间的距离对激发态数的影响。在沿薄膜宽度和长度方向平行于薄膜平面的H处进行了模式光谱的比较。随着H矢量的旋转,有效可激发模式的频带从4.6…4.9 GHz移动到4.5…4.75 GHz。然而,在4.65 ~ 4.9 GHz频段,当矢量H沿YIG薄膜宽度方向(z轴)时,这些模式的激发比矢量H沿YIG薄膜长度方向(z轴)时更有效。同时,在4.4 ~ 4.6 GHz频段,沿yigg薄膜长度方向(z轴)的矢量H的激励更有效。
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引用次数: 1
Modeling of adaptive counteraction of the induced biotic environment during the invasive process 入侵过程中诱导生物环境自适应对抗的建模
IF 0.4 Pub Date : 2022-08-01 DOI: 10.18500/0869-6632-2022-30-4-436-455
A. Perevaryukha
Purpose is to develop a mathematical model for the analysis of a variant in the development of a population process with a non-trivially regulated confrontation between an invading species and a biotic environment. Relevance. The situation we are studying arises in invasive processes, but is a previously unexplored special variant of their development. The task of modeling is to describe the transition to a deep ν-shaped crisis after intensive growth. The model is based on examples of the adaptive dynamics of a bacterial colony and the suppression of mollusk populations, carriers of dangerous parasitic diseases, after targeted anti-epidemic introduction of their antagonists. Methods. In our work equations with a retarded argument in the range of parameter values that have a biological interpretation were studied. The model uses a logarithmic form of species regulation, taking into account the theoretically permissible capacity of the medium. In the equation we included the function of external influence with flexible threshold regulation relative to the current and previous population size. Results. It is shown that the proposed form of impact regulation leads to the formation of a stable adapted population after the crisis, which does not have a destructive impact on the habitat. With an increase in the reproductive potential of an invasive species, a deep crisis becomes critically dangerous. The form of the crisis passage depends on the reproductive potential, on the size of the initial group of individuals, and also on the time of activation of the adaptive counteraction from the environment. It is established that at a sufficient level of resistance, a non destructive equilibrium is established. Conclusion. The actual scenario of sudden depression of an actively spreading population with a large reproductive 𝑟-parameter, which is caused by the delayed activity of its natural antagonists, has been studied. The threshold form of biotic regulation is characteristic of insects, the abundance of which is regulated by competing species of parasitic hymenoptera. The variant of rapid phase change considered by us in the model is relevant as a description of one of the forms of developing the body’s immune response to the development of an acute infection with a significant delay. If the immune response is prematurely inhibited by the body itself, then the chronic focus of the disease persists. Examples of the dynamics of two real biological processes in experiments with biological suppression methods are given, which correspond to the invasion scenario obtained in the new model.
目的是建立一个数学模型,用于分析在入侵物种和生物环境之间具有非平凡调节的对抗的种群过程发展中的变异。的相关性。我们正在研究的情况出现在侵入性过程中,但这是它们发展的一个以前未被探索的特殊变体。建模的任务是描述密集增长后向深ν形危机的过渡。该模型是基于细菌菌落的适应动力学和在有针对性地引入其拮抗剂后对软体动物种群(危险寄生虫病的携带者)的抑制的例子。方法。在我们的功方程中,研究了在参数值范围内具有生物学解释的缓变参数。该模型采用物种调节的对数形式,考虑到理论上允许的介质容量。在方程中,我们包含了外部影响的函数,具有相对于当前和以前的人口规模的灵活阈值调节。结果。结果表明,本文提出的影响调节形式可以在危机后形成稳定的适应种群,而不会对栖息地产生破坏性影响。随着入侵物种繁殖潜力的增加,一场深刻的危机变得极其危险。危机通道的形式取决于繁殖潜力,取决于初始个体群体的规模,也取决于从环境中激活适应性对抗的时间。在足够的阻力水平下,建立了非破坏性的平衡。结论。一个具有大量繁殖𝑟-parameter的积极扩张种群突然萧条的实际情况,是由其天然拮抗剂的活性延迟引起的,已经进行了研究。生物调节的阈值形式是昆虫的特征,其丰度由寄生膜翅目昆虫的竞争种调节。我们在模型中考虑的快速相位变化的变体是相关的,因为它描述了人体对急性感染发展的免疫反应的一种形式,具有显著的延迟。如果免疫反应过早地被身体自身抑制,那么疾病的慢性焦点就会持续存在。给出了生物抑制实验中两个真实生物过程的动力学实例,与新模型得到的入侵情景相对应。
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引用次数: 1
Estimation of impulse action parameters using a network of neuronlike oscillators 用类神经元振荡器网络估计脉冲作用参数
IF 0.4 Pub Date : 2022-08-01 DOI: 10.18500/0869-6632-2022-30-4-495-512
E. Navrotskaya, D. Kulminskiy, V. Ponomarenko, Mihail Prokhorov
Aim of the study is to develop a method for estimating the parameters of an external periodic impulse action using a spiking network of neuronlike oscillators. Methods. The spiking activity of a network consisting of coupled nonidentical neuronlike FitzHugh–Nagumo oscillators was studied, depending on the parameters of the periodic impulse action. To estimate the amplitude of the external impulse signal, we detuned the FitzHugh–Nagumo oscillators, which were in a stable state of equilibrium in the absence of an external action, by the threshold parameter responsible for the excitation of the oscillator. To estimate the frequency of excitatory pulses, we detuned the FitzHugh–Nagumo oscillators by the parameter characterizing the ratio of time scales, the value of which determines the natural frequency of oscillators. We also changed the duration of external pulses. Results. It is shown that the number of spikes generated by a network of nonidentical FitzHugh–Nagumo oscillators has a monotonic dependence on the amplitude of the external pulse signal and a nonmonotonic dependence on the frequency of the pulse signal. The number of spikes generated by the network remains constant over a wide range of external pulse durations. A method for estimating the amplitude and frequency of impulse action is proposed. The method efficiency is demonstrated in numerical simulations and in a radio physical experiment. Conclusion. The proposed method allows one to estimate the amplitude of an external pulse signal, knowing its frequency, and estimate the frequency of this signal, knowing its amplitude. The method can be used in robotics when solving the problems of information processing related to the motion control of mobile robots.
本研究的目的是开发一种利用神经元样振荡器的尖峰网络估计外部周期脉冲作用参数的方法。方法。研究了由非同构神经元类耦合FitzHugh-Nagumo振子组成的网络的脉冲活动随周期脉冲作用参数的变化规律。为了估计外部脉冲信号的振幅,我们通过负责振荡器激励的阈值参数对在没有外部作用的情况下处于稳定平衡状态的FitzHugh-Nagumo振荡器进行失谐。为了估计激发脉冲的频率,我们用表征时间尺度比的参数对fitzhuh - nagumo振子进行了失谐,时间尺度比的值决定了振子的固有频率。我们还改变了外部脉冲的持续时间。结果。结果表明,由非同一FitzHugh-Nagumo振子组成的网络所产生的尖峰数与外部脉冲信号的幅值呈单调关系,与脉冲信号的频率呈非单调关系。网络产生的尖峰的数量在很宽的外部脉冲持续时间范围内保持不变。提出了一种估计脉冲作用幅度和频率的方法。数值模拟和无线电物理实验证明了该方法的有效性。结论。所提出的方法允许人们估计外部脉冲信号的幅度,知道它的频率,估计这个信号的频率,知道它的幅度。该方法可用于机器人技术中与移动机器人运动控制相关的信息处理问题。
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Izvestiya Vysshikh Uchebnykh Zavedeniy-Prikladnaya Nelineynaya Dinamika
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