profesor zwyczajny
Faculty of Applied Mathematics WMS-krr
ORCID: 0000-0001-5124-5890
ResearcherID: brak
Scopus: 57210368048
System Informacyjny AGH (SkOs)
Discrete approximations on functional classes for the integrable nonlinear Schrödinger dynamical system: a symplectic finite-dimensional reduction approach / Jan L. Cieśliński, Anatolij K. PRYKARPATSKI // Journal of Mathematical Analysis and Applications ; ISSN 0022-247X. — 2015 vol. 430 iss. 1, s. 279–295. — Bibliogr. s. 294–295, Abstr.. — Publikacja dostępna online od: 2015-04-29. — tekst: https://www.sciencedirect.com/science/article/pii/S0022247X15004242/pdfft?md5=c0fa774a3dc85be25a984a1352d56fdf&pid=1-s2.0-S0022247X15004242-main.pdf
keywords: gradient-holonomic algorithm, discretization schemes, finite dimensional symplectic reduction approach, lax type representation, discrete nonlinear Schrodinger dynamical system
cyfrowy identyfikator dokumentu: 10.1016/j.jmaa.2015.04.084
Ergodic theory, Boole type transformations, dynamical systems theory / Anatolij K. PRYKARPATSKI // W: Current trends in analysis and its applications : proceedings of the 9th ISAAC congress : [5–9 August], Kraków 2013 / eds. Vladimir V. Mityushev, Michael V. Ruzhansky. — Switzerland ; Basel : Springer International Publishing ; Birkhäuser, 2015. — (Trends in Mathematics ; ISSN 2297-0215. Research Perspectives). — ISBN: 978-3-319-12576-3 ; e-ISBN: 978-3-319-12577-0. — S. 325–333. — Bibliogr. s. 332–333, Abstr.
keywords: invariant measures, generalized Boole type transformations, arithmetic properties, ergodic dynamical systems, Frobenius-Perron operator
cyfrowy identyfikator dokumentu: 10.1007/978-3-319-12577-0_38
Integrability analysis of a two-component Burgers-type hierarchy / D. Blackmore, A. K. PRYKARPATSKY, E. Özçağ, K. Soltanov // Ukrainian Mathematical Journal ; ISSN 0041-5995. — 2015 vol. 67 no. 2, s. 167–185. — Bibliogr. s. 184–185. — A. K. Prykarpatsky - dod. afiliacja: Franko Drohobych State Pedagogical University. — tekst: http://link.springer.com/content/pdf/10.1007%2Fs11253-015-1072-6.pdf
brak zdefiniowanych słów kluczowych
cyfrowy identyfikator dokumentu: 10.1007/s11253-015-1072-6
Maxwell-Lorentz electrodynamics revisited via the Lagrangian formalism and Feynman proper time paradigm / Nikolai N. Bogolubov Jr, Anatolij K. PRYKARPATSKI, Denis Blackmore // Mathematics [Dokument elektroniczny]. — Czasopismo elektroniczne ; ISSN 2227-7390. — 2015 vol. 3 iss. 2, s. 190–257. — Bibliogr. s. 252–257, Abstr.. — A. K. Prykarpatski – dod. afiliacja: The Abdus Salam International Centre of Theoretical Physics, Italy. — tekst: http://www.mdpi.com/2227-7390/3/2/190/pdf
keywords: Lorentz force, Lagrangian and Hamiltonian formalisms, Lorenz constraint, Maxwell electromagnetic equations, radiation theory, vacuum field theory approach, Ampère's law
cyfrowy identyfikator dokumentu: 10.3390/math3020190
The classical Abraham-Lorentz electron mass theory legacy. Pt. 1, The Amper law aspects revisiting / Anatolij PRYKARPATSKI // Matematicnij Visnik NTS = Mathematical Bulletin of the Shevchenko Scientific Society ; ISSN 1812-6774. — 2015 vol. 12, s. 74–103. — Bibliogr. s. 100-103
keywords: Lagrangian and Hamiltonian formalisms, Lorentz type force, Lorenz constraint, Maxwell electromagnetic equations, Jefimenko equations, Amper law
cyfrowy identyfikator dokumentu: