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Search Results: 1 - 10 of 325317 matches for " S. Yanchuk "
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DelayAndPeriodicity
S. Yanchuk,P. Perlikowski
Physics , 2009, DOI: 10.1103/PhysRevE.79.046221
Abstract: Systems with time delay play an important role in modeling of many physical and biological processes. In this paper we describe generic properties of systems with time delay, which are related to the appearance and stability of periodic solutions. In particular, we show that delay systems generically have families of periodic solutions, which are reappearing for infinitely many delay times. As delay increases, the solution families overlap leading to increasing coexistence of multiple stable as well as unstable solutions. We also consider stability issue of periodic solutions with large delay by explaining asymptotic properties of the spectrum of characteristic multipliers. We show that the spectrum of multipliers can be splitted into two parts: pseudo-continuous and strongly unstable. The pseudo-continuous part of the spectrum mediates destabilization of periodic solutions.
Sociocultural-Interdeterminist Dialogical Perspective of Intercultural Mutual Understanding Comprehension Deepening  [PDF]
Vladimir Yanchuk
Open Journal of Social Sciences (JSS) , 2014, DOI: 10.4236/jss.2014.28025
Abstract:

Sociocultural-interdeterminist dialogical approach focuses attention on the caused interdeteministic character of mutual relations of situational, personal and activity determinants of the behaviour, staticized in concrete historical cultural context. For example, a change in a situational context leads to changes both in the person, and in his or her activity. Achievement of changes in the person and his or her activity assumes creation of the special conditions promoting to their actualization, etc. For understanding of the nature of progress in culture and science the theoretical construct “cultural-scientific tradition” is offered, allowing to trace changes in common cultural and scientific worldview throughout the human history. Consideration of personality problems is carried out in a three-dimensional continuum conscious-unconscious-existential, allowing to capture all variety of displays of psychological phenomenology. Proceeding from understanding of culture as orientational and normative structure of behaviour and as communicative matrix by means of which the behaviour is interpreted, integrated, coordinated and authorized (R. Priest), efficiency of use of the conceptual device of the epistemic approach of Michel Foucault and cultural framing of E. Goffman to understanding of intercultural interaction specificity is proved. The epistemic differences of European (graphic), Chinese, and classic Arabic languages are demonstrated. Intercultural competence is considered in aspect of ability of formation of shared meanings and experiences on the basis of mastering by knowledge about originalities of language, values and norms, experiences and behavioral algorithms of each other. The basis of such mutual understanding creates the dialogue that assumes unconditional acceptance of another based on tolerance and pluralism, the joint extension of the horizons directed on formation and development of coordinated and mutually endured values and senses. As unit of the analysis of intercultural interaction the evaluation of a sharedness of meanings and experiences is offered. Results of empirical research of the given approach on the example of formation of interpersonal mutual understanding of the Belarus and Chinese students are presented.

Stability of plane wave solutions in complex Ginzburg-Landau equation with delayed feedback
D. Puzyrev,S. Yanchuk,A. G. Vladimirov,S. V. Gurevich
Physics , 2013,
Abstract: We perform bifurcation analysis of plane wave solutions in one-dimensional cubic-quintic Ginzburg-Landau equation with delayed feedback. Our study reveals how multistability and snaking behavior of plane waves emerge as time delay is introduced. For intermediate values of the delay, bifurcation diagrams are obtained by a combination of analytical and numerical methods. For large delays, using an asymptotic approach we classify plane wave solutions into strongly unstable, weakly unstable, and stable. The results of analytical bifurcation analysis are in agreement with those obtained by direct numerical integration of the model equation.
Synchronizing distant nodes: a universal classification of networks
V. Flunkert,S. Yanchuk,T. Dahms,E. Schoell
Physics , 2010, DOI: 10.1103/PhysRevLett.105.254101
Abstract: Stability of synchronization in delay-coupled networks of identical units generally depends in a complicated way on the coupling topology. We show that for large coupling delays synchronizability relates in a simple way to the spectral properties of the network topology. The master stability function used to determine stability of synchronous solutions has a universal structure in the limit of large delay: it is rotationally symmetric around the origin and increases monotonically with the radius in the complex plane. This allows a universal classification of networks with respect to their synchronization properties and solves the problem of complete synchronization in networks with strongly delayed coupling.
Amplitude equations and fast transition to chaos in rings of coupled oscillators
S. Yanchuk,P. Perlikowski,M. Wolfrum,A. Stefanski,T. Kapitaniak
Physics , 2010,
Abstract: We study the coupling induced destabilization in an array of identical oscillators coupled in a ring structure where the number of oscillators in the ring is large. The coupling structure includes different types of interactions with several next neighbors. We derive an amplitude equation of Ginzburg-Landau type, which describes the destabilization of a uniform stationary state in a ring with a large number of nodes. Applying these results to unidirectionally coupled Duffing oscillators, we explain the phenomenon of a fast transition to chaos, which has been numerically observed in such systems. More specifically, the transition to chaos occurs on an interval of a generic control parameter that scales as the inverse square of the size of the ring, i.e. for sufficiently large system, we observe practically an immediate transition to chaos.
Synchronizability of networks with strongly delayed links: A universal classification
V. Flunkert,S. Yanchuk,T. Dahms,E. Sch?ll
Physics , 2011,
Abstract: We show that for large coupling delays the synchronizability of delay-coupled networks of identical units relates in a simple way to the spectral properties of the network topology. The master stability function used to determine stability of synchronous solutions has a universal structure in the limit of large delay: it is rotationally symmetric around the origin and increases monotonically with the radius in the complex plane. We give details of the proof of this structure and discuss the resulting universal classification of networks with respect to their synchronization properties. We illustrate this classification by means of several prototype network topologies.
Laser Pulse Heating of Spherical Metal Particles
Michael I. Tribelsky,Andrey E. Miroshnichenko,Yuri S. Kivshar,Boris S. Luk'yanchuk,Alexei R. Khokhlov
Physics , 2011, DOI: 10.1103/PhysRevX.1.021024
Abstract: We consider a general problem of laser pulse heating of spherical metal particles with the sizes ranging from nanometers to millimeters. We employ the exact Mie solutions of the diffraction problem and solve heat-transfer equations to determine the maximum temperature at the particle surface as a function of optical and thermometric parameters of the problem. The main attention is paid to the case when the thermometric conductivity of the particle is much larger than that of the environment, as it is in the case of metal particles in fluids. We show that in this case at any given finite duration of the laser pulse the maximum temperature rise as a function of the particle size reaches an absolute maximum at a certain finite size of the particle, and we suggest simple approximate analytical expressions for this dependence which covers the entire range of variations of the problem parameters and agree well with direct numerical simulations.
Antiferromagnetism of hybrid metamaterials
Andrey E. Miroshnichenko,Boris Luk'yanchuk,Stefan A. Maier,Yuri S. Kivshar
Physics , 2011,
Abstract: We analyze a metal-dielectric structure composed of a silicon nanoparticle coupled to a stack of split-ring resonators, and reveal the possibility of optically-induced antiferromagnetic response of such a hybrid meta-molecule with a staggered pattern of the induced magnetization. We show that a hybrid metamaterial created by a periodic lattice of the meta-molecules supports antiferromagnetic modes with a checker-board pattern and the propagation of spin waves, opening new ways for manipulating artificial antiferromagnetism at high frequencies with low-loss materials.
Terahertz Electrodynamics of $180^\circ$ Domain Walls in Thin Ferroelectric Films
Igor Luk'yanchuk,Alexey Pakhomov,Ana?s Sené,Alexandr Sidorkin,Valerii Vinokur
Physics , 2014,
Abstract: We investigate oscillation dynamics of a periodic structure of the $180^\circ$ domain walls in nanometricaly thin substrate-deposited ferroelectric films and superlattices. We calculate dynamic permittivity of such structures and reveal a collective resonance mode, which in the typical ferroelectric compounds, PbTiO3/SrTiO3, lies in the sub- and low THz frequency range of 0.3-3THz. We propose the reflection-absorbtion spectroscopy experiments to observe this mode.
Optimum Forward Light Scattering by Spherical and Spheroidal Dielectric Nanoparticles with High Refractive Index
Boris S. Luk`yanchuk,Nikolai V. Voshchinnikov,Ramon Paniagua-Dominguez,Arseniy I. Kuznetsov
Physics , 2014, DOI: 10.1021/acsphotonics.5b00261
Abstract: High-refractive index dielectric nanoparticles may exhibit strong directional forward light scattering at visible and near-infrared wavelengths due to interference of simultaneously excited electric and magnetic dipole resonances. For a spherical high-index dielectric, the so-called first Kerker's condition can be realized, at which the backward scattering practically vanishes for some combination of refractive index and particle size. However, Kerker's condition for spherical particles is only possible at the tail of the scattering resonances, when the particle scatters light weakly. Here we demonstrate that significantly higher forward scattering can be realized if spheroidal particles are considered instead. For each value of refractive index exists an optimum shape of the particle, which produces minimum backscattering efficiency together with maximum forward scattering. This effect is achieved due to the overlapping of magnetic and electric dipole resonances of the spheroidal particle at the resonance frequency. It permits the design of very efficient, low-loss optical nanoantennas.
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