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    Wyświetlanie 1-11 z 11
    Tytuł:
    Planar nonautonomous polynomial equations V. The Abel equation
    Autorzy:
    Wilczyński, P.
    Powiązania:
    https://bibliotekanauki.pl/articles/254704.pdf
    Data publikacji:
    2013
    Wydawca:
    Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
    Tematy:
    periodic orbits
    polynomial equations
    Opis:
    We give a full description of the dynamics of the Abel equation [formula] for some special complex valued ƒ. We also prove the existence of at least three periodic solutions for equations of the form [formula] for odd n ≥ 5.
    Źródło:
    Opuscula Mathematica; 2013, 33, 1; 175-189
    1232-9274
    2300-6919
    Pojawia się w:
    Opuscula Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Planar nonautonomous polynomial equations IV. Nonholomorphic case
    Autorzy:
    Wilczyński, P.
    Powiązania:
    https://bibliotekanauki.pl/articles/256040.pdf
    Data publikacji:
    2012
    Wydawca:
    Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
    Tematy:
    periodic orbits
    polynomial equations
    Opis:
    We give a few sufficient conditions for the existence of periodic solutions of the equation [formula] where n > r and aj 's, ck's are complex valued. We prove the existence of one up to two periodic solutions.
    Źródło:
    Opuscula Mathematica; 2012, 32, 2; 357-375
    1232-9274
    2300-6919
    Pojawia się w:
    Opuscula Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Historia oraz stan obecny Polish Fireball Network
    History and operation of the Polish Fireball Network
    Autorzy:
    Wiśniewski, Mariusz
    Żołądek, Przemysław
    Olech, Arkadiusz
    Tymiński, Zbigniew
    Maciejewski, Maciej
    Raj, Arkadiusz
    Fietkiewicz, Karol
    Gozdalski, Mariusz
    Gawroński, Marcin P.
    Suchodolski, Tomasz
    Myszkiewicz, Maciej
    Stolarz, Marcin
    Polakowski, Krzysztof
    Powiązania:
    https://bibliotekanauki.pl/articles/1033122.pdf
    Data publikacji:
    2018
    Wydawca:
    Polskie Towarzystwo Meteorytowe
    Tematy:
    meteor
    meteor showers
    meteorite
    meteoroid streams
    orbits
    Opis:
    The Polish Fireball Network (PFN) is a project to monitor regularly the sky over Poland in order to detect bright fireballs. In 2016 the 72 PFN cameras recorded 100 389 meteor events. Using these data and the UFOOrbit software 19 087 trajectories and orbits were calculated. In the following years we are planning intensive modernization of the PFN network including installation of dozens of new digital cameras.
    Polish Fireball Network (PFN) to projekt polegający na regularnym monitorowaniu nieba nad Polską w celu zaobserwowania jasnych meteorów i bolidów. W 2016 roku 72 kamery PFN zarejestrowały 100 389 meteorów. Za pomocą tych danych i oprogramowania UFOOrbit obliczono 19 087 trajektorie i orbity. W kolejnych latach planujemy intensywną modernizację sieci PFN, w tym instalację kilkudziesięciu nowych kamer cyfrowych.
    Źródło:
    Acta Societatis Metheoriticae Polonorum; 2018, 9; 177-186
    2080-5497
    Pojawia się w:
    Acta Societatis Metheoriticae Polonorum
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Periodic orbits around the triangular points with prolate primaries
    Autorzy:
    Abd El Motelp, Nihad
    Radwan, Mohamed
    Powiązania:
    https://bibliotekanauki.pl/articles/2204240.pdf
    Data publikacji:
    2023
    Wydawca:
    Polska Akademia Nauk. Centrum Badań Kosmicznych PAN
    Tematy:
    restricted three-body problem
    triangular points
    prolate triaxial
    periodic orbits
    Opis:
    Periodic orbits play a fundamental role in the study and deep understanding of the behavior of dynamical systems. In the current work, we investigated the periodic orbits around the triangular libration points of the restricted three-body problem. The equations of motion of the restricted problem are presented when both primaries are prolate triaxial. Periodic orbits around the triangular points are obtained and then illustrated graphically for some selected initial conditions and for the entire domain of the mass ratio µ, as well. The eccentricities of the periodic orbits are obtained and then represented graphically. It is observed that the periodic orbits about the triangular stationary points are elliptical, and the frequencies of short and long orbits of the periodic motion are influenced by the shape of the primary bodies. Furthermore, we found that the perturbing forces influence the period, the orientation, and the eccentricities of the short and long periodic orbits.
    Źródło:
    Artificial Satellites. Journal of Planetary Geodesy; 2023, 58, 1; 1--13
    2083-6104
    Pojawia się w:
    Artificial Satellites. Journal of Planetary Geodesy
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Randomness and determinism: why are the planetary orbits elliptical?
    Autorzy:
    Sheynin, Oscar
    Powiązania:
    https://bibliotekanauki.pl/articles/433929.pdf
    Data publikacji:
    2014
    Wydawca:
    Wydawnictwo Uniwersytetu Ekonomicznego we Wrocławiu
    Tematy:
    Keplerian laws
    planetary orbits
    randomness and necessity
    spontaneous generation
    system of the world
    Opis:
    I consider the interpretation of the notion of randomness in natural science from Aristotle to Poincaré, the interrelation between randomness and necessity according to Poincaré and the narrower understanding of randomness in the theory of probability and statistics. Kepler explained the ellipticity of the planetary orbits by random causes and Kant and Laplace largely followed him in spite of Newton who had established that ellipticities depended on the planets’ velocity.
    Źródło:
    Śląski Przegląd Statystyczny; 2014, 12(18); 57-74
    1644-6739
    Pojawia się w:
    Śląski Przegląd Statystyczny
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    New kind of parameterization applied to the Fermi surface of a crystalline solid. Part I: Electron observables and curvature parameters examined on the surface
    Autorzy:
    Olszewski, S.
    Roliński, T.
    Powiązania:
    https://bibliotekanauki.pl/articles/1943222.pdf
    Data publikacji:
    2009
    Wydawca:
    Politechnika Gdańska
    Tematy:
    Fermi surfaces of crystalline solids
    electron orbits induced in the magnetic field
    curvature properties of the Fermi surfaces
    Opis:
    A magnetic field applied to a crystalline solid causes the electron states on the Fermi surface to circulate along the orbits located on the planes normal to the applied field. For a sufficiently weak field the separate orbits can cover the whole closed Fermi surface. A suitable parameterization of the states on the orbits should be done in a different way than a conventional parameterization applied for the electron states by Bloch. This new kind of parameterization becomes quite simple when the magnetic field is assumed to be directed parallel to one of the crystallographic axes. Computationally, a new description of the electron states on the Fermi surface becomes on many occasions more flexible in its use than the Bloch's one. The simplifications concern mainly an examination of the curvature parameters of the Fermi surface and extremal properties of the electron observables, for example that of electron velocity. Solely the states in the cubic crystal lattices were considered as examples.
    Źródło:
    TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk; 2009, 13, 1-2; 99-115
    1428-6394
    Pojawia się w:
    TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    FUNcube – cosmic teaching aid
    Autorzy:
    Korzan, Daniel
    Powiązania:
    https://bibliotekanauki.pl/articles/466676.pdf
    Data publikacji:
    2014
    Wydawca:
    Towarzystwo Naukowe Płockie
    Tematy:
    satellites education
    orbits education
    space education
    radio communication
    amateur radio (HAM radio)
    support of STEM - science, technology
    engineering and mathematics
    Opis:
    The author describes the use of amateur radio satellite FUNcube-1 (AO-73) for educational purposes. He discusses the issue of the hardware and the free software that is needed to implement activities in the project FUNcube. The author indicates the possibilities of their educational applications.
    Źródło:
    Rocznik Towarzystwa Naukowego Płockiego; 2014, 6; s. 264-272
    0860-5637
    Pojawia się w:
    Rocznik Towarzystwa Naukowego Płockiego
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Rehabilitation after surgical treatment of retrobulbar tumors
    Autorzy:
    Składzień, Jacek
    Wiatr, Agnieszka
    Wiatr, Maciej
    Romanowska-Dixon, Bożena
    Gniadek-Batko, Dominika
    Gawlik, Jolanta
    Zielińska-Kubatko, Anna
    Wróbel, Agnieszka
    Powiązania:
    https://bibliotekanauki.pl/articles/1397307.pdf
    Data publikacji:
    2020
    Wydawca:
    Index Copernicus International
    Tematy:
    diplopia
    orbit’s tumors
    rehabilitation of the muscles which are responsible for the movement of the eyeball
    surgery of the orbit
    Opis:
    The authors propose a set of rehabilitation exercises concerning the muscles which are responsible for movement of the eyeball. After surgical treatments of retrobulbar tumors, the function of the eyeball muscles is often inadequate. Some compensation should be created at the level of the central nervous system, which means trigging adaptation, substitution and habituation. The exercises should be started just after the patient is awakened: first in the horizontal position, then sitting position and finally standing position. The highest number of exercises should be done in the direction of extreme diplopia
    Źródło:
    Polish Journal of Otolaryngology; 2020, 74, 5; 7-10
    0030-6657
    2300-8423
    Pojawia się w:
    Polish Journal of Otolaryngology
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Symmetry
    Autorzy:
    Rychlewski, Jan
    Ziółkowski, Andrzej
    Powiązania:
    https://bibliotekanauki.pl/articles/38902795.pdf
    Data publikacji:
    2023
    Wydawca:
    Instytut Podstawowych Problemów Techniki PAN
    Tematy:
    definition of symmetry
    concept of Γ-set
    orbits of elements
    orbit markers
    ornament principle
    motif
    symmetry of causes and effects
    invariant extension of function
    Opis:
    The concept of symmetry was introduced already by the ancient Greeks in relation to spatial (geometric) systems. They understood it as commensurability and proportionality and linked it with the aesthetic categories of harmony and beauty. A spatial system (object) was considered symmetric if it consisted of regular, repeatable parts of comparable size, creating a coordinated, ordered, larger whole. Only two thousand years later, in the twentieth century, the essence of the concept of symmetry was identified. Symmetry is invariance (stability, durability, constancy) of a feature (geometric, physical, biological, informational, etc.) of an object (an object can here be a geometric system, a material thing, but also a natural phenomenon, physical law, social relation, etc.) after subjecting it to a set of transformations (transformations can be shifts, reflections, rotations, permutations, etc.), with respect to which symmetry is considered. The above observation led to the discovery of the universal nature of the concept of symmetry, which in a broader sense can be understood as a philosophical category, one of the fundamental regularities of mathematical character in the organization of the Universe. The contemporary understanding of symmetry has led to significant and nonobvious conclusions. For example, it turned out that the invariance (symmetry) of the laws of motion with respect to the shift in time is equivalent to the necessity of the existence of the principle of conservation of energy, the invariance (symmetry) of the laws of motion with respect to the shift in physical space proves to be equivalent to the existence of the principle of conservation of momentum. The Report provides an outline of the general formal language of symmetry applicable to the study of any situation in which this concept appears. The key elements of the mathematical apparatus of the algebraic theory of symmetry are defined and discussed, the notions of Γ-sets, orbits, orbital markers, invariants, and invariant functions. They provide versatile tools enabling the analysis of all types of symmetries. The Report concisely presents important results of the theory of symmetry, such as: the ornament principle – expressing the most straightforwardly the innermost property of complex symmetrical objects, the representation theorem for symmetric objects, the theorem on the symmetry of causes and effects of physical laws, the theorem on invariant extension of any function.
    Źródło:
    Engineering Transactions; 2023, 71, 2; 265-283
    0867-888X
    Pojawia się w:
    Engineering Transactions
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    New kind of parameterization applied to the Fermi surface of a crystalline solid. Part II: Density of states and lengths of arcs calculated as a check of the theory
    Autorzy:
    Roliński, T.
    Olszewski, S.
    Powiązania:
    https://bibliotekanauki.pl/articles/1943221.pdf
    Data publikacji:
    2009
    Wydawca:
    Politechnika Gdańska
    Tematy:
    Fermi surfaces of crystalline solids
    electron orbits induced in the magnetic field
    density of electron states
    orbit lengths and arc lengths on the Fermi surfaces
    Opis:
    In order to check the validity of parameterization of electron states on the Fermi surfaces developed in the preceding paper, this parameterization is applied to the calculation of some definite crystal properties. The first property is the density of electron states versus energy in simple cubic and body-centered cubic crystal lattices, examined formerly on the basis of the Bloch parameterization of electron states by Jelitto; the other property is the length of some special arcs extended on the surfaces. The parameterizations of both approaches, that of the present paper and that developer on the basis of the Bloch states, are found to give results remaining in remarkable agreement.
    Źródło:
    TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk; 2009, 13, 1-2; 117-131
    1428-6394
    Pojawia się w:
    TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Traveling waves in media with diffusion
    Autorzy:
    Kaźmierczak, Bogdan
    Powiązania:
    https://bibliotekanauki.pl/articles/747755.pdf
    Data publikacji:
    2005
    Wydawca:
    Polskie Towarzystwo Matematyczne
    Tematy:
    Reaction-diffusion equations, Boundary value problems for parabolic systems,Index theory, Morse-Conley indices, Homoclinic and heteroclinic orbits, Ionized gas flow in electromagnetic fields
    plasmic flow, Physiological flow
    Opis:
    In this paper, we discuss traveling wave solutions for equations that model nonlinear media with diffusion. Such solutions can also describe, for example, the propagation of heteroclinic fronts or impulses (medium excitations). We present several examples of processes in which the notion of a traveling wave captures the essence of the analytical phenomena, including plasma sustained by a laser beam, phase transitions in van der Waals fluids, skin morphogenesis, and the DNA-RNA transcription process.
    Źródło:
    Mathematica Applicanda; 2005, 33, 47/06
    1730-2668
    2299-4009
    Pojawia się w:
    Mathematica Applicanda
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-11 z 11

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