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    THE PHENOMENON OF VIRTUAL IDENTITY: THE CONTEMPORARY CONDITION OF THE PROBLEM

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    Introduction. Modern society is characterized by the formation of a new socio-cultural environment, which is based on a wide access to a variety of sources of information. Mass distribution of the Internet has a direct impact on socialization processes of the representatives of β€œZ-generation” who spend enormous amount of time in a cyberspace, quite often losing at the same time an ability of real personal development, interest in acquisition of skills for real interaction and effective communication. In this regard, the research of a phenomenon of a new, virtual identity of the personality, which is formed in the Internet environment, is brought into focus. The aim of the present publication is to consider the current level of knowledge in the field of virtual identity and systematization of scientific knowledge of this phenomenon. Methodology and research methods. Theoretical analysis, methods of synthesis and generalization were used. Results and scientific novelty. Various approaches to interpretation of virtual identity are considered; research tendencies are highlighted. The concepts β€œreal identity” and β€œvirtual identity” are viewed in relation to each other; the features and risks of virtual identity formation are revealed. The functions of virtual identity are specified. It is revealed that virtual identity reflects the subjectively significant image of the β€œIdeal-I” which is compiled from the completed material, character set and graphic images of the Internet environment, and therefore does not possess the uniqueness. Factors of designing by the person of virtual identity are described. Virtual identity can arise as a result of dissatisfaction with real identity, as a consequence of the identification crisis, in which the individual loses integrity. At the same time, it is shown that the cyberspace gives ample opportunities for self-expression and maximum personal fulfillment, realization of qualities, playing of roles and experience of emotions which turn out to be frustrated under any circumstances in real life. Problem areas of excessive immersion into virtual space are identified. An immature personality can lose life orientations as well as acquire the programmed decisions and ready cogitative patterns through excessive Internet use. The social activity in the Internet environment significantly reduces the moral level of communication on social networking sites and messengers. Aspiration always β€œto be online”, fear to miss a new message or a post aggravate anxiety of the user, increase the feeling of fatigue and uncontrollable temper, scant attention and strongwilled self-regulation, aggravation of a hypodynamia.The authors conclude that is required to continue to study the specifics of socialization in the Internet environment since it generates new forms of age development, changes the tasks and ideas of children and teenagers about social relations, and transforms an ideal image of the subsequent age stages in their consciousness. Practical significance. The results of the work carried out can be applied in the activities of teachers, social educators, educators, psychologists and otherΒ specialists who deal with the questions of socialization of modern children and adolescents.Β Π’Π²Π΅Π΄Π΅Π½ΠΈΠ΅. Π’ соврСмСнном общСствС продолТаСтся Ρ„ΠΎΡ€ΠΌΠΈΡ€ΠΎΠ²Π°Π½ΠΈΠ΅ ΡΠΎΡ†ΠΈΠΎΠΊΡƒΠ»ΡŒΡ‚ΡƒΡ€Π½ΠΎΠΉ срСды, основной характСристикой ΠΊΠΎΡ‚ΠΎΡ€ΠΎΠΉ являСтся свободный доступ ΠΊ Ρ€Π°Π·Π½ΠΎΠΎΠ±Ρ€Π°Π·Π½Ρ‹ΠΌ источникам ΠΈΠ½Ρ„ΠΎΡ€ΠΌΠ°Ρ†ΠΈΠΈ. МассовоС распространСниС сСти Π˜Π½Ρ‚Π΅Ρ€Π½Π΅Ρ‚ ΠΎΠΊΠ°Π·Ρ‹Π²Π°Π΅Ρ‚ нСпосрСдствСнноС влияниС Π½Π° процСссы социализации прСдставитСлСй Β«Z-поколСния», ΠΊΠΎΡ‚ΠΎΡ€Ρ‹Π΅ проводят колоссальноС количСство Π²Ρ€Π΅ΠΌΠ΅Π½ΠΈ Π² кибСрпространствС, Π½Π΅Ρ€Π΅Π΄ΠΊΠΎ утрачивая ΠΏΡ€ΠΈ этом ΡΠΏΠΎΡΠΎΠ±Π½ΠΎΡΡ‚ΡŒ Ρ€Π΅Π°Π»ΡŒΠ½ΠΎΠ³ΠΎ личностного развития, интСрСс ΠΊ ΠΏΡ€ΠΈΠΎΠ±Ρ€Π΅Ρ‚Π΅Π½ΠΈΡŽ Π½Π°Π²Ρ‹ΠΊΠΎΠ² Ρ€Π΅Π°Π»ΡŒΠ½ΠΎΠ³ΠΎ взаимодСйствия ΠΈ эффСктивных, Π½ΠΈΡ‡Π΅ΠΌ Π½Π΅ опосрСдованных ΠΊΠΎΠΌΠΌΡƒΠ½ΠΈΠΊΠ°Ρ†ΠΈΠΉ. Π’ связи с этим актуализируСтся исслСдованиС Ρ„Π΅Π½ΠΎΠΌΠ΅Π½Π° Π½ΠΎΠ²ΠΎΠΉ, Π²ΠΈΡ€Ρ‚ΡƒΠ°Π»ΡŒΠ½ΠΎΠΉ идСнтичности личности, Ρ„ΠΎΡ€ΠΌΠΈΡ€ΡƒΡŽΡ‰Π΅ΠΉΡΡ Π² ΠΈΠ½Ρ‚Π΅Ρ€Π½Π΅Ρ‚-срСдС. ЦСль ΠΏΡƒΠ±Π»ΠΈΠΊΠ°Ρ†ΠΈΠΈ – обсуТдСниС соврСмСнного состояния изучСния Π²ΠΈΡ€Ρ‚ΡƒΠ°Π»ΡŒΠ½ΠΎΠΉ идСнтичности ΠΈ систСматизация Π½Π°ΡƒΡ‡Π½Ρ‹Ρ… Π·Π½Π°Π½ΠΈΠΉ ΠΎ Π΄Π°Π½Π½ΠΎΠΌ Ρ„Π΅Π½ΠΎΠΌΠ΅Π½Π΅. ΠœΠ΅Ρ‚ΠΎΠ΄Ρ‹, ΠΏΡ€ΠΈΠΌΠ΅Π½ΡΠ²ΡˆΠΈΠ΅ΡΡ Π² Ρ€Π°Π±ΠΎΡ‚Π΅, – тСорСтичСский Π°Π½Π°Π»ΠΈΠ·, синтСз ΠΈ ΠΎΠ±ΠΎΠ±Ρ‰Π΅Π½ΠΈΠ΅. Π Π΅Π·ΡƒΠ»ΡŒΡ‚Π°Ρ‚Ρ‹ ΠΈ научная Π½ΠΎΠ²ΠΈΠ·Π½Π°. РассмотрСны Ρ€Π°Π·Π»ΠΈΡ‡Π½Ρ‹Π΅ ΠΏΠΎΠ΄Ρ…ΠΎΠ΄Ρ‹ ΠΊ ΠΈΠ½Ρ‚Π΅Ρ€ΠΏΡ€Π΅Ρ‚Π°Ρ†ΠΈΠΈ Π²ΠΈΡ€Ρ‚ΡƒΠ°Π»ΡŒΠ½ΠΎΠΉ идСнтичности, ΠΎΠ±ΠΎΠ·Π½Π°Ρ‡Π΅Π½Ρ‹ Ρ‚Π΅Π½Π΄Π΅Π½Ρ†ΠΈΠΈ Π΅Π΅ исслСдования. БоотнСсСны понятия Β«Ρ€Π΅Π°Π»ΡŒΠ½Π°Ρ ΠΈΠ΄Π΅Π½Ρ‚ΠΈΡ‡Π½ΠΎΡΡ‚ΡŒΒ» ΠΈ Β«Π²ΠΈΡ€Ρ‚ΡƒΠ°Π»ΡŒΠ½Π°Ρ ΠΈΠ΄Π΅Π½Ρ‚ΠΈΡ‡Π½ΠΎΡΡ‚ΡŒΒ», выявлСны особСнности ΠΈ риски формирования послСднСй. Π£Ρ‚ΠΎΡ‡Π½Π΅Π½Ρ‹ Ρ„ΡƒΠ½ΠΊΡ†ΠΈΠΈ Π²ΠΈΡ€Ρ‚ΡƒΠ°Π»ΡŒΠ½ΠΎΠΉ идСнтичности. Π’ ΠΎΠ±Ρ‰Π΅ΠΌ Π²ΠΈΠ΄Π΅ ΠΎΠ½Π° ΠΎΡ‚Ρ€Π°ΠΆΠ°Π΅Ρ‚ ΡΡƒΠ±ΡŠΠ΅ΠΊΡ‚ΠΈΠ²Π½ΠΎ-Π·Π½Π°Ρ‡ΠΈΠΌΡ‹ΠΉ ΠΎΠ±Ρ€Π°Π· «идСального Π―Β», ΠΊΠΎΡ‚ΠΎΡ€Ρ‹ΠΉ, ΠΎΠ΄Π½Π°ΠΊΠΎ, компилируСтся ΠΈΠ· Π³ΠΎΡ‚ΠΎΠ²ΠΎΠ³ΠΎ ΠΌΠ°Ρ‚Π΅Ρ€ΠΈΠ°Π»Π°, Π½Π°Π±ΠΎΡ€Π° символов ΠΈ графичСских ΠΈΠ·ΠΎΠ±Ρ€Π°ΠΆΠ΅Π½ΠΈΠΉ ΠΈΠ½Ρ‚Π΅Ρ€Π½Π΅Ρ‚-срСды ΠΈ поэтому Π½Π΅ ΠΎΠ±Π»Π°Π΄Π°Π΅Ρ‚ ΡƒΠ½ΠΈΠΊΠ°Π»ΡŒΠ½ΠΎΡΡ‚ΡŒΡŽ. ΠžΠΏΠΈΡΠ°Π½Ρ‹ Ρ„Π°ΠΊΡ‚ΠΎΡ€Ρ‹ конструирования Ρ‡Π΅Π»ΠΎΠ²Π΅ΠΊΠΎΠΌ Π²ΠΈΡ€Ρ‚ΡƒΠ°Π»ΡŒΠ½ΠΎΠΉ идСнтичности, Ρ‡Π°Ρ‰Π΅ всСго Π²ΠΎΠ·Π½ΠΈΠΊΠ°ΡŽΡ‰Π΅ΠΉ ΠΏΠΎ ΠΏΡ€ΠΈΡ‡ΠΈΠ½Π΅ нСудовлСтворСнности ΠΈΠ½Π΄ΠΈΠ²ΠΈΠ΄Π° своСй Ρ€Π΅Π°Π»ΡŒΠ½ΠΎΠΉ ΠΈΠ΄Π΅Π½Ρ‚ΠΈΡ‡Π½ΠΎΡΡ‚ΡŒΡŽ ΠΈΠ»ΠΈ вслСдствиС кризиса ΠΈΠ΄Π΅Π½Ρ‚ΠΈΡ„ΠΈΠΊΠ°Ρ†ΠΈΠΈ, ΠΏΡ€ΠΈ ΠΊΠΎΡ‚ΠΎΡ€ΠΎΠΌ Π»ΠΈΡ‡Π½ΠΎΡΡ‚ΡŒ ΡƒΡ‚Ρ€Π°Ρ‡ΠΈΠ²Π°Π΅Ρ‚ Ρ†Π΅Π»ΠΎΡΡ‚Π½ΠΎΡΡ‚ΡŒ. ВмСстС с Ρ‚Π΅ΠΌ ΠΏΠΎΠΊΠ°Π·Π°Π½ΠΎ, Ρ‡Ρ‚ΠΎ кибСрпространство прСдоставляСт ΡˆΠΈΡ€ΠΎΠΊΠΈΠ΅ возмоТности для самовыраТСния ΠΈ максимального раскрытия личностного ΠΏΠΎΡ‚Π΅Π½Ρ†ΠΈΠ°Π»Π°, Ρ€Π΅Π°Π»ΠΈΠ·Π°Ρ†ΠΈΠΈ качСств, проигрывания Ρ€ΠΎΠ»Π΅ΠΉ ΠΈ пСрСТивания эмоций, ΠΎΠΊΠ°Π·Π°Π²ΡˆΠΈΡ…ΡΡ ΠΈΠ·-Π·Π° ΠΊΠ°ΠΊΠΈΡ…-Π»ΠΈΠ±ΠΎ ΠΎΠ±ΡΡ‚ΠΎΡΡ‚Π΅Π»ΡŒΡΡ‚Π² фрустрированными Π² Ρ€Π΅Π°Π»ΡŒΠ½ΠΎΠΉ ΠΆΠΈΠ·Π½ΠΈ. ΠžΠΏΡ€Π΅Π΄Π΅Π»Π΅Π½Ρ‹ ΠΏΡ€ΠΎΠ±Π»Π΅ΠΌΠ½Ρ‹Π΅ Π·ΠΎΠ½Ρ‹ Ρ‡Ρ€Π΅Π·ΠΌΠ΅Ρ€Π½ΠΎΠ³ΠΎ погруТСния Π² Π²ΠΈΡ€Ρ‚ΡƒΠ°Π»ΡŒΠ½ΠΎΠ΅ пространство. ЗлоупотрСбляя ΠΏΡ€Π΅Π±Ρ‹Π²Π°Π½ΠΈΠ΅ΠΌ Π² Π½Π΅ΠΌ, нСзрСлая Π»ΠΈΡ‡Π½ΠΎΡΡ‚ΡŒ ΠΌΠΎΠΆΠ΅Ρ‚ ΠΏΠΎΡ‚Π΅Ρ€ΡΡ‚ΡŒ ΠΆΠΈΠ·Π½Π΅Π½Π½Ρ‹Π΅ ΠΎΡ€ΠΈΠ΅Π½Ρ‚ΠΈΡ€Ρ‹, ΡƒΡΠ²ΠΎΠΈΡ‚ΡŒ Π·Π°ΠΏΡ€ΠΎΠ³Ρ€Π°ΠΌΠΌΠΈΡ€ΠΎΠ²Π°Π½Π½Ρ‹Π΅ Ρ€Π΅ΡˆΠ΅Π½ΠΈΡ ΠΈ Π³ΠΎΡ‚ΠΎΠ²Ρ‹Π΅ ΠΌΡ‹ΡΠ»ΠΈΡ‚Π΅Π»ΡŒΠ½Ρ‹Π΅ ΡˆΡ‚Π°ΠΌΠΏΡ‹. Π‘ΠΎΡ†ΠΈΠ°Π»ΡŒΠ½ΠΎΠ΅ растормоТСниС Π² ΠΈΠ½Ρ‚Π΅Ρ€Π½Π΅Ρ‚-срСдС сущСствСнно сниТаСт ΠΌΠΎΡ€Π°Π»ΡŒΠ½ΠΎ-нравствСнный ΡƒΡ€ΠΎΠ²Π΅Π½ΡŒ ΠΊΠΎΠΌΠΌΡƒΠ½ΠΈΠΊΠ°Ρ†ΠΈΠΈ Π² ΡΠΎΡ†ΠΈΠ°Π»ΡŒΠ½Ρ‹Ρ… сСтях ΠΈ мСссСндТСрах. Π‘Ρ‚Ρ€Π΅ΠΌΠ»Π΅Π½ΠΈΠ΅ всСгда Β«Π±Ρ‹Ρ‚ΡŒ ΠΎΠ½Π»Π°ΠΉΠ½Β», страх ΠΏΡ€ΠΎΠΏΡƒΡΡ‚ΠΈΡ‚ΡŒ Π½ΠΎΠ²ΠΎΠ΅ сообщСниС ΠΈΠ»ΠΈ пост ΡƒΡΠΈΠ»ΠΈΠ²Π°ΡŽΡ‚ Ρ‚Ρ€Π΅Π²ΠΎΠΆΠ½ΠΎΡΡ‚ΡŒ ΠΏΠΎΠ»ΡŒΠ·ΠΎΠ²Π°Ρ‚Π΅Π»Ρ, приводят ΠΊ ΠΏΠΎΠ²Ρ‹ΡˆΠ΅Π½ΠΈΡŽ Ρƒ Π½Π΅Π³ΠΎ утомляСмости ΠΈ Ρ€Π°Π·Π΄Ρ€Π°ΠΆΠΈΡ‚Π΅Π»ΡŒΠ½ΠΎΡΡ‚ΠΈ, ослаблСнию внимания ΠΈ Π²ΠΎΠ»Π΅Π²ΠΎΠΉ рСгуляции, ΠΎΠ±ΠΎΡΡ‚Ρ€Π΅Π½ΠΈΡŽ Π³ΠΈΠΏΠΎΠ΄ΠΈΠ½Π°ΠΌΠΈΠΈ.Π‘Π΄Π΅Π»Π°Π½ Π²Ρ‹Π²ΠΎΠ΄ ΠΎ нСобходимости продолТСния изучСния спСцифики социализации Π² ΠΈΠ½Ρ‚Π΅Ρ€Π½Π΅Ρ‚-срСдС, ΠΏΠΎΡΠΊΠΎΠ»ΡŒΠΊΡƒ ΠΎΠ½Π° Π²Ρ‹Ρ€Π°Π±Π°Ρ‚Ρ‹Π²Π°Π΅Ρ‚ Π½ΠΎΠ²Ρ‹Π΅ Ρ„ΠΎΡ€ΠΌΡ‹ возрастного развития, измСняя Π΅Π³ΠΎ Π·Π°Π΄Π°Ρ‡ΠΈ ΠΈ прСдставлСния Π΄Π΅Ρ‚Π΅ΠΉ ΠΈ подростков ΠΎ ΡΠΎΡ†ΠΈΠ°Π»ΡŒΠ½Ρ‹Ρ… ΠΎΡ‚Π½ΠΎΡˆΠ΅Π½ΠΈΡΡ…, трансформируя Π² ΠΈΡ… сознании ΠΈΠ΄Π΅Π°Π»ΡŒΠ½Ρ‹ΠΉ ΠΎΠ±Ρ€Π°Π· ΠΏΠΎΡΠ»Π΅Π΄ΡƒΡŽΡ‰ΠΈΡ… возрастных этапов. ΠŸΡ€Π°ΠΊΡ‚ΠΈΡ‡Π΅ΡΠΊΠ°Ρ Π·Π½Π°Ρ‡ΠΈΠΌΠΎΡΡ‚ΡŒ. ΠœΠ°Ρ‚Π΅Ρ€ΠΈΠ°Π»Ρ‹ ΡΡ‚Π°Ρ‚ΡŒΠΈ ΠΌΠΎΠ³ΡƒΡ‚ Π½Π°ΠΉΡ‚ΠΈ ΠΏΡ€ΠΈΠΌΠ΅Π½Π΅Π½ΠΈΠ΅ Π² Π΄Π΅ΡΡ‚Π΅Π»ΡŒΠ½ΠΎΡΡ‚ΠΈ ΡΠΎΡ†ΠΈΠ°Π»ΡŒΠ½Ρ‹Ρ… ΠΏΠ΅Π΄Π°Π³ΠΎΠ³ΠΎΠ², ΠΏΠ΅Π΄Π°Π³ΠΎΠ³ΠΎΠ²-психологов ΠΈ ΠΈΠ½Ρ‹Ρ… спСциалистов, Π·Π°Π½ΠΈΠΌΠ°ΡŽΡ‰ΠΈΡ…ΡΡ вопросами дСтской ΠΈ подростковой социализации.

    Quantum Electrodynamics at Extremely Small Distances

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    The asymptotics of the Gell-Mann - Low function in QED can be determined exactly, \beta(g)= g at g\to\infty, where g=e^2 is the running fine structure constant. It solves the problem of pure QED at small distances L and gives the behavior g\sim L^{-2}.Comment: Latex, 6 pages, 1 figure include

    Exclusion of Tiny Interstellar Dust Grains from the Heliosphere

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    The distribution of interstellar dust grains (ISDG) observed in the Solar System depends on the nature of the interstellar medium-solar wind interaction. The charge of the grains couples them to the interstellar magnetic field (ISMF) resulting in some fraction of grains being excluded from the heliosphere while grains on the larger end of the size distribution, with gyroradii comparable to the size of the heliosphere, penetrate the termination shock. This results in a skewing the size distribution detected in the Solar System. We present new calculations of grain trajectories and the resultant grain density distribution for small ISDGs propagating through the heliosphere. We make use of detailed heliosphere model results, using three-dimensional (3-D) magnetohydrodynamic/kinetic models designed to match data on the shape of the termination shock and the relative deflection of interstellar neutral H and He flowing into the heliosphere. We find that the necessary inclination of the ISMF relative to the inflow direction results in an asymmetry in the distribution of the larger grains (0.1 micron) that penetrate the heliopause. Smaller grains (0.01 micron) are completely excluded from the Solar System at the heliopause.Comment: 5 pages, 5 figures, accepted for publication in the Solar Wind 12 conference proceeding

    Rim curvature anomaly in thin conical sheets revisited

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    This paper revisits one of the puzzling behaviors in a developable cone (d-cone), the shape obtained by pushing a thin sheet into a circular container of radius R R by a distance Ξ· \eta [E. Cerda, S. Chaieb, F. Melo, and L. Mahadevan, {\sl Nature} {\bf 401}, 46 (1999)]. The mean curvature was reported to vanish at the rim where the d-cone is supported [T. Liang and T. A. Witten, {\sl Phys. Rev. E} {\bf 73}, 046604 (2006)]. We investigate the ratio of the two principal curvatures versus sheet thickness hh over a wider dynamic range than was used previously, holding R R and Ξ· \eta fixed. Instead of tending towards 1 as suggested by previous work, the ratio scales as (h/R)1/3(h/R)^{1/3}. Thus the mean curvature does not vanish for very thin sheets as previously claimed. Moreover, we find that the normalized rim profile of radial curvature in a d-cone is identical to that in a "c-cone" which is made by pushing a regular cone into a circular container. In both c-cones and d-cones, the ratio of the principal curvatures at the rim scales as (R/h)5/2F/(YR2) (R/h)^{5/2}F/(YR^{2}) , where F F is the pushing force and Y Y is the Young's modulus. Scaling arguments and analytical solutions confirm the numerical results.Comment: 25 pages, 12 figures. Added references. Corrected typos. Results unchange

    Specifics of impurity effects in ferropnictide superconductors

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    Effects of impurities and disorder on quasiparticle spectrum in superconducting iron pnictides are considered. Possibility for occurrence of localized energy levels due to impurities within the superconducting gap and the related modification of band structure and of superconducting order parameter are discussed. The evolution of superconducting state with impurity doping is traced.Comment: 9 pages, 8 figure

    Origin of four-fold anisotropy in square lattices of circular ferromagnetic dots

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    We discuss the four-fold anisotropy of in-plane ferromagnetic resonance (FMR) field HrH_r, found in a square lattice of circular Permalloy dots when the interdot distance aa gets comparable to the dot diameter dd. The minimum HrH_r, along the lattice axes,andthemaximum,alongthe axes, and the maximum, along the axes, differ by ∼\sim 50 Oe at a/da/d = 1.1. This anisotropy, not expected in uniformly magnetized dots, is explained by a non-uniform magnetization \bm(\br) in a dot in response to dipolar forces in the patterned magnetic structure. It is well described by an iterative solution of a continuous variational procedure.Comment: 4 pages, 3 figures, revtex, details of analytic calculation and new references are adde

    Search for sterile neutrinos at the DANSS experiment

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    DANSS is a highly segmented 1~m3{}^3 plastic scintillator detector. Its 2500 one meter long scintillator strips have a Gd-loaded reflective cover. The DANSS detector is placed under an industrial 3.1~GWth\mathrm{GW_{th}} reactor of the Kalinin Nuclear Power Plant 350~km NW from Moscow. The distance to the core is varied on-line from 10.7~m to 12.7~m. The reactor building provides about 50~m water-equivalent shielding against the cosmic background. DANSS detects almost 5000 Ξ½~e\widetilde\nu_e per day at the closest position with the cosmic background less than 3%\%. The inverse beta decay process is used to detect Ξ½~e\widetilde\nu_e. Sterile neutrinos are searched for assuming the 4Ξ½4\nu model (3 active and 1 sterile Ξ½\nu). The exclusion area in the Ξ”m142,sin⁑22ΞΈ14\Delta m_{14}^2,\sin^22\theta_{14} plane is obtained using a ratio of positron energy spectra collected at different distances. Therefore results do not depend on the shape and normalization of the reactor Ξ½~e\widetilde\nu_e spectrum, as well as on the detector efficiency. Results are based on 966 thousand antineutrino events collected at 3 distances from the reactor core. The excluded area covers a wide range of the sterile neutrino parameters up to sin⁑22ΞΈ14<0.01\sin^22\theta_{14}<0.01 in the most sensitive region.Comment: 10 pages, 13 figures, version accepted for publicatio

    Gibbs attractor: a chaotic nearly Hamiltonian system, driven by external harmonic force

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    A chaotic autonomous Hamiltonian systems, perturbed by small damping and small external force, harmonically dependent on time, can acquire a strange attractor with properties similar to that of the canonical distribution - the Gibbs attractor. The evolution of the energy in such systems can be described as the energy diffusion. For the nonlinear Pullen - Edmonds oscillator with two degrees of freedom the properties of the Gibbs attractor and their dependence on parameters of the perturbation are studied both analytically and numerically.Comment: 8 pages RevTeX, 3 figure

    Two problems related to prescribed curvature measures

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    Existence of convex body with prescribed generalized curvature measures is discussed, this result is obtained by making use of Guan-Li-Li's innovative techniques. In surprise, that methods has also brought us to promote Ivochkina's C2C^2 estimates for prescribed curvature equation in \cite{I1, I}.Comment: 12 pages, Corrected typo
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