profesor zwyczajny
Faculty of Applied Mathematics WMS-krr
ORCID: 0000-0001-5124-5890
ResearcherID: brak
Scopus: 57210368048
System Informacyjny AGH (SkOs)
A Borsuk-Ulam type generalization of the Leray-Schauder fixed point theorem — Odne uzagal'nennâ tipu Borsuka-Ulama teoremi Lere-Šaudera pro neruhomu točku / Anatolij PRYKARPATSKY // Mathematical Bulletin / Josai University. Graduate School of Science ; ISSN 1344-7769. — 2007 vol. 4, s. 1–15. — Bibliogr. s. 14–15
brak zdefiniowanych słów kluczowych
cyfrowy identyfikator dokumentu:
A geometrical approach to quantum holonomic computing algorithms / K. PRYKARPATSKY, D. Blackmore, N. K. Prykarpatska // W: ECMI 2004 : the 13\textsuperscript{th} European Conference on Mathematics in Industry : June 21–25, 2004, Eindhoven, The Netherlands. — [The Netherlands : Technische Universiteit Eindhoven], [2004]. — S. 239–240
About a finite dimensional reduction method for conservative dynamical systems and its applications / Anatoliy PRYKARPATSKY, Stanisław BRZYCHCZY, V. Samoylenko // W: Scientific computing, validated numerics, interval methods / eds. Walter Krämer, Jürgen Wolff von Gudenberg. — New York [etc.] : Kluwer Academic/Plenum Publishers, 2001. — Zawiera materiały z sympozium : "SCAN 2000 - The 9th GAMM-IMACS International Symposium on Scientific Computing, Computer Arithmetic and Validated Numerics, and Interval 2000 - The International Conference on Interval Methods in Science and Engineering".. — ISBN10: 0306467062. — S. 293–302. — Bibliogr. s. 302, Abstr.
Zobacz pełny wykaz publikacji Autora/Autorów: Stanisław Brzychczy
Bogolyubov generating functional method in statistical physics and ”collective”-variables transform within grand canonical ensemble / N. N. Bogolyubov, Jr., A. K. PRYKARPATSKY // Nonlinear Oscillations ; ISSN 1536-0059. — 2007 vol. 10 no. 1, s. 32–45. — Bibliogr. s. 45. — tekst: https://goo.gl/seRorZ
cyfrowy identyfikator dokumentu: 10.1007/s11072-007-0004-2
Diferencìal'no-geometričnì ta lì-algebraïčnì osnovi doslìdžennâ ìntegrovnih nelìnìjnih dinamìčnih sistem na funkcìonal'nih mnogovidah — Differential-geometric and lie-algebraic foundations of studying integrable nonlinear dynamical systems on functional manifolds / Oksana Gentoš, Mikola Pritula, Anatolij PRYKARPATSKY ; za zagal'noû red. A. M. Samojlenka ta A. K. PRYKARPATSKOGO ; Nacìonal'na akademìâ nauk Ukraïni. Ìnstitut prikladnih problem mehanìki ta matematiki ìm. Â. S. Pìdstrigača, Mìnìsterstvo osvìti ì nauki Ukraïni. L'vìvs'kij nacìonal'nij unìversitet ìmenì Ìvana Franka, Akademìâ gìrnictva ta metalurgìï ìm. Stanìslava Stašìca, Krakìv Pol'ŝa. Fakul'tet prikladnoï matematiki. — L'vìv : Vidavničij centr LNU ìmenì Ìvana Franka, 2005. — 403, [1] s.. — Bibliogr. s. 383–403
Diferencìal'no-geometričnì ta lì-algebraïčnì osnovi doslìdžennâ ìntegrovnih nelìnìjnih dinamìčnih sistem na funkcìonal'nih mnogovidah — Differential-geometric and lie-algebraic foundations of studying integrable nonlinear dynamical systems on functional manifolds / Oksana Gentoš, Mikola Pritula, Anatolij PRYKARPATSKY ; za zagal'noû red. A. M. Samojlenka, A. K. PRIKARPATS'KOGO. — L'vìv : Vidavničij centr LNU ìmenì Ìvana Franka, 2006. — 406, [4] s.. — Bibliogr. s. 386–406
Ergodičnì dinamìčnì sistemi: porâdok ta haos — [Ergodic dynamical systems: order and chaos] / Mikola Bogolûbov (mol.), Anatolij PRYKARPATSKY, Mikola Pritula // Matematičnij Vísnik NTŠ ; ISSN 1812-6774. — 2005 vol. 2, s. 9–16. — Summ.
Funkcìonal'no-operatornij analìz problemi zyžnostì dlâ metodu diskretnih aproksimacìj F. Kalodžero v banahovih prostorah — Functional-operator analysis of the convergence problem for the F. Calogero approximation method in Banach spaces / Mirosław LUŚTYK, Anatolij PRYKARPATSKY, Mikola Pritula, Miroslava Vovk // Matematičnij Vísnik NTŠ ; ISSN 1812-6774. — 2012 t. 9, s. 168–179. — Bibliogr. s. 178–179
Zobacz pełny wykaz publikacji Autora/Autorów: Mirosław Luśtyk
Generalized multidimensional Boole type transformations, their discretization and ergodicity / Anatolij K. PRYKARPATSKI // W: CHAOS2017 [Dokument elektroniczny] : 10\textsuperscript{th} Chaotic modeling and simulation international conference : 30 May–2 June 2017, Barcelona, Spain : proceedings / ed. Christos H. Skiadas. — Wersja do Windows. — Dane tekstowe. — [Spain] : ISAST: International Society for the Advancement of Science and Technology, cop. 2017. — S. 683–689. — Wymagania systemowe: Adobe Reader. — Tryb dostępu: http://1drv.ms/b/s!ApL_0Av0YGDLijgM-A-V_vovlTlb [2017-11-27]. — Bibliogr. s. 689, Abstr.. — A. K. Prykarpatski - afiliacja: Polytechnical University of Krakow
Hidden symmetries of lax integrable nonlinear systems / Denis Blackmore, Yarema Prykarpatsky, Jolanta GOLENIA, Anatoli PRYKARPATSKY // Applied Mathematics ; ISSN 2152-7385. — 2013 vol. 4 no. 10C spec. iss. on Advances in mathematical physics, s. 95–116. — Bibliogr. s. 114–116, Abstr.. — tekst: http://www.scirp.org/journal/PaperDownload.aspx?paperID=38417
keywords: Lax integrability, lie algebraic approach, differential algebraic methods, gradient holonomic algorithm, Marsden-Weinstein reduction method, R-Matrix structure, symplectic structures, compatible poissonian structures, lax representation, poissonian manifold
Zobacz pełny wykaz publikacji Autora/Autorów: Jolanta Golenia
cyfrowy identyfikator dokumentu: 10.4236/am.2013.410A3013
Integrability by quadratures of Hamiltonian systems and Picard-Fuchs type equations: the modern differential-geometric aspects / Y. A. PRYKARPATSKY, A. M. Samoilenko, D. L. Blackmore, A. K. PRYKARPATSKY // Miskolc Mathematical Notes ; ISSN 1787-2405. — 2005 vol. 6 no. 1, s. 65–103. — Bibliogr. s. 101–102, Abstr.
Zobacz pełny wykaz publikacji Autora/Autorów: Jarema A. Prykarpatsky
Introductory background to modern quantum mathematics with application to nonlinear dynamical systems / A. K. PRYKARPATSKY, J. GOLENIA, N. N. Bogolubov Jr., U. Taneri // W: Further progress in analysis : proceedings of the 6th international ISAAC congress : Ankara, Turkey, 13–18 August 2007 / eds. H. G. W. Begehr, A. O. Çelebi, R. P. Gilbert. — [S. l.] : World Scientific Publishing Co. Pte. Ltd., cop. 2009. — ISBN: 978-981-283-732-5 ; ISBN10: 981-283-732-9. — S. 760–779. — Bibliogr. s. 777–779
Kvantovo-golonomnì občislûval'nì algoritmi ta ïh realìzacìâ — [Quantum-holonomic computing algorithms and their realization] / Anatolij PRYKARPATSKI, Miroslava Kopič // W: Čotirnadcâta naukova sesìâ Nukovogo Tovaristva ìm. Ševčenka : L'vìv, 1 bereznâ–29 bereznâ 2003 r. : programa / Naukove Tovaristvo ìm. Ševčenka. — L'vìv : Doslìdno-vidavničomu centrì NT ìm. Ševčenka, 2003. — Opis część. wg okł. — Aud.216 s. 35
Lie-algebraic structure of (2+1)-dimensional Lax-type integrable nonlinear dynamical systems — Lì-algebraïčna struktura (2+1)-vimìrnih ìntegrovnih za Laksom nelìnìjnih dinamìčnih sistem / A. K. PRYKARPATSKY, O. Ye. Hentosh // Ukraïns'kij Matematičnij Žurnal ; ISSN 1027-3190. — 2004 t. 56 no. 7, s. 939–946. — Bibliogr. s. 946
Lyapunov-Schmidt approach to studying homoclinic splitting in weakly perturbed Lagrangian and Hamiltonian systems / A. M. Samoilenko, A. K. PRYKARPATSKY, V. H. Samoilenko // Ukrainian Mathematical Journal ; ISSN 0041-5995. — 2003 vol. 55 no. 1, s. 82–92. — Bibliogr. s. 92. — tekst: https://link-1springer-1com-1000003op01c7.wbg2.bg.agh.edu.pl/content/pdf/10.1023%2FA%3A1025072619144.pdf
Mathematical foundations of the classical Maxwell-Lorentz electrodynamic models in the canonical Lagrangian and Hamiltonian formalisms / Denis Blackmore, Anatolij K. PRYKARPATSKI, Nikolai N. Bogolubov (Jr.), Jan J. Sławianowski // Universal Journal of Physics and Application ; ISSN 2331-6535. — 2013 vol. 1 no. 2, s. 160–178. — Bibliogr. s. 176–178, Abstr.
keywords: least action principle, vacuum field theory, Lorentz force problem, Feynman approach, Maxwell equations, Lorentz constraint, electron radiation theory, Lagrangian and Hamiltonian formalism
Metod vìdokremlennâ zmìnnih : vìd Ejlera do sbogodnìšnìh dnìv — The separation variables method : from Euler to nowadays / Anatolij PRYKARPATSKY, Petro Kalenûk, Mikola Pritula // Matematičnij Vísnik NTŠ ; ISSN 1812-6774. — 2006 t. 3, s. 87–94. — Bibliogr. s. 93–94
Modelowanie kształtu powierzchni i jej rzutowanie na płaszczyznę: triangulacja Delaunay'a i jej zastosowania — Modeling the shape of the surface and its projection on a plane: Delaunay triangulation and its application / O. Iwanczuk, A. PRYKARPATSKYJ // Sučasní dosâgnennâ geodezičnoï nauki ta virobnictva ; ISSN 1819-1339. — 2014 vyp. 1 (27), s. 94–97. — Bibliogr. s. 97. — Afiliacja: Akademia Górniczo-Hutnicza
Modern classical electrodynamics and electromagnetic radiation – vacuum field theory aspects / Nikolai N. Bogolubov, Anatoliy K. PRYKARPATSKY // W: Electromagnetic waves / ed. Vitaliy Zhurbenko. — Rijeka : InTech, cop. 2011. — ISBN: 978-953-307-304-0. — S. 27–55. — Bibliogr. s. [51]–55
Modern quantum nonlinear optics in action : introductory course for graduate mathematics/physics students, Pt. 1 / Anatolij PRYKARPATSKY, Ufuk Taneri, Nickolai N. Bogoliubov. — [Moscow : Academy of Sciences], [2000]. — 80 s.. — Bibliogr. s. 80
New vortex invariants in magneto-hydrodynamics and a related helicity theorem / Anatolij K. PRYKARPATSKY, Denis Blackmore // CMSIM : Chaotic Modeling and Simulation : an international journal in nonlinear science ; ISSN 2241-0503. — 2013 iss. 1 January, s. 239–245. — Bibliogr. s. 244–245. — Dod. afilaicja A. Prykarpatsky: The Ivano Franko State Pedagogical University
Nonlinear dynamical systems of mathematical physics : spectral and symplectic integrability analysis / Denis Blackmore, Anatoliy K. PRYKARPATSKY, Valeriy Hr Samoylenko. — New York : World Scientific, cop. 2011. — 546 s.. — ISBN: 978-981-4327-15-2 ; ISBN10: 981-4327-15-8. — Dod. afiliacja Autora: Anatoliy K. Prykarpatsky – The Ivan Franko State Pedagogical University, Ukraine
On adiabatic invariants of slowly perturbed completely integrable polynomial Focker type Hamiltonian systems / PRYKARPATSKY Anatolij K. // W: ICIAM 99 : the Fourth International Congress on Industrial and Applied Mathematics : Edinburgh, Scotland 5–9 July 1999 : book of abstracts. — [Scotland : s. n.], [1999]. — S. 84
On Benney type hydrodynamical systems and their Boltzmann-Vlasov equations kinetic models / N. N. Bogoliubov, A. K. PRYKARPATSKY, D. L. Blackmore ; ICTP, United Nations Educational Scientific and Cultural Organization, International Atomic Energy Agency. — Trieste, Italy : ICTP, 2006. — 36 s.. — (Preprint / ICTP The Abdus Salam International Centre for Theoretical Physics ; IC/2006/006). — Bibliogr. s. 34–36, Abstr.
On discretizations of the generalized Boole type transformations and their ergodicity / PRYKARPATSKI A. K. // Journal of Physical Mathematics ; ISSN 2090-0902. — 2016 vol. 7 iss. 3, art. no. 199, s. 1–3. — Bibliogr. s. 3, Abstr.. — Publikacja dostępna online od: 2016-09-30
keywords: Frobenius-Perron operator, discretizatrion, invariant measure, ergodic measure, boole type transformations, ergodicity and mixing
cyfrowy identyfikator dokumentu: 10.4172/2090-0902.1000199