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Funktsional'nyi Analiz i ego Prilozheniya, 1993, Volume 27, Issue 1, Pages 1–11 (Mi faa677)  

This article is cited in 23 scientific papers (total in 23 papers)

Phase-Locking for Mathieu-Type Torus Maps

O. G. Galkin

N. E. Bauman Moscow State Technical University
References:
Received: 26.02.1991
English version:
Functional Analysis and Its Applications, 1993, Volume 27, Issue 1, Pages 1–9
DOI: https://doi.org/10.1007/BF01768662
Bibliographic databases:
Document Type: Article
UDC: 517.925.52
Language: Russian
Citation: O. G. Galkin, “Phase-Locking for Mathieu-Type Torus Maps”, Funktsional. Anal. i Prilozhen., 27:1 (1993), 1–11; Funct. Anal. Appl., 27:1 (1993), 1–9
Citation in format AMSBIB
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\by O.~G.~Galkin
\paper Phase-Locking for Mathieu-Type Torus Maps
\jour Funktsional. Anal. i Prilozhen.
\yr 1993
\vol 27
\issue 1
\pages 1--11
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1225905}
\zmath{https://zbmath.org/?q=an:0788.58047}
\transl
\jour Funct. Anal. Appl.
\yr 1993
\vol 27
\issue 1
\pages 1--9
\crossref{https://doi.org/10.1007/BF01768662}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1993LQ87700001}
Linking options:
  • https://www.mathnet.ru/eng/faa677
  • https://www.mathnet.ru/eng/faa/v27/i1/p1
  • This publication is cited in the following 23 articles:
    1. Matthew Visomirski, Christopher Griffin, “Integrability of generalised skew-symmetric replicator equations via graph embeddings”, J. Phys. A: Math. Theor., 58:1 (2025), 015701  crossref
    2. Christopher Griffin, Rongling Wu, “Higher-order dynamics in the replicator equation produce a limit cycle in rock-paper-scissors”, EPL, 142:3 (2023), 33001  crossref
    3. David Gómez-Ullate, Yves Grandati, Robert Milson, “Shape invariance and equivalence relations for pseudo-Wronskians of Laguerre and Jacobi polynomials”, J. Phys. A: Math. Theor., 51:34 (2018), 345201  crossref
    4. D Bermudez, David J Fernández C, “A connection between supersymmetric quantum mechanics and Painlevé V equation”, J. Phys.: Conf. Ser., 624 (2015), 012012  crossref
    5. R N Garifullin, I T Habibullin, R I Yamilov, “Peculiar symmetry structure of some known discrete nonautonomous equations”, J. Phys. A: Math. Theor., 48:23 (2015), 235201  crossref
    6. Engelbrecht J.R., Mirollo R., “Structure of Long-Term Average Frequencies for Kuramoto Oscillator Systems”, Phys. Rev. Lett., 109:3 (2012), 034103  crossref  isi
    7. Kuznetsov A.P., Sataev I.R., Sedova Yu.V., Tyuryukina L.V., “O modelirovanii dinamiki svyazannykh avtokolebatelnykh ostsillyatorov s pomoschyu prosteishikh fazovykh otobrazhenii”, Izvestiya vysshikh uchebnykh zavedenii. Prikladnaya nelineinaya dinamika, 20:2 (2012), 112–137 On modelling the dynamics of coupled self-oscillators using the simplest phase maps  elib
    8. Yu. S. Ilyashenko, D. A. Ryzhov, D. A. Filimonov, “Phase-lock effect for equations modeling resistively shunted Josephson junctions and for their perturbations”, Funct. Anal. Appl., 45:3 (2011), 192–203  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib
    9. Ian Marquette, “An infinite family of superintegrable systems from higher order ladder operators and supersymmetry”, J. Phys.: Conf. Ser., 284 (2011), 012047  crossref
    10. H Aratyn, J F Gomes, A H Zimerman, “Higher order Painlevé equations and their symmetries via reductions of a class of integrable models”, J. Phys. A: Math. Theor., 44:23 (2011), 235202  crossref
    11. P. Winternitz, “Superintegrability with second- and third-order integrals of motion”, Phys. Atom. Nuclei, 72:5 (2009), 875  crossref
    12. Ian Marquette, Pavel Winternitz, “Superintegrable systems with third-order integrals of motion”, J. Phys. A: Math. Theor., 41:30 (2008), 304031  crossref
    13. Arnold's Problems, 2005, 181  crossref
    14. A. V. Yurov, V. A. Yurov, “Nonsingular brane solutions via the Darboux transformation”, Phys. Rev. D, 72:2 (2005)  crossref
    15. Peter A. Clarkson, Andrew N.W. Hone, Nalini Joshi, “Hierarchies of Difference Equations and Bäcklund Transformations”, JNMP, 10:Supplement 2 (2003), 13  crossref
    16. A B Shabat, “Discretization of the Schroumldinger spectral problem”, Inverse Problems, 18:4 (2002), 1003  crossref
    17. A.A. Zaitsev, S.B. Leble, “Division of differential operators, intertwine relations and darboux transformations”, Reports on Mathematical Physics, 46:1-2 (2000), 165  crossref
    18. V. M. Eleonsky, V. G. Korolev, “Isospectral problem for Schrödinger operator: Evolutional viewpoint”, Journal of Mathematical Physics, 40:4 (1999), 1977  crossref
    19. David J Fernández C, Véronique Hussin, “Higher-order SUSY, linearized nonlinear Heisenberg algebras and coherent states”, J. Phys. A: Math. Gen., 32:19 (1999), 3603  crossref
    20. S. Yu. Sadov, “Width of parametric resonance regions for equations on a torus”, Math. Notes, 64:1 (1998), 110–115  mathnet  crossref  crossref  mathscinet  zmath  isi
    Citing articles in Google Scholar: Russian citations, English citations
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    Функциональный анализ и его приложения Functional Analysis and Its Applications
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