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ЖУРНАЛЫ // Теоретическая и математическая физика

ТМФ, 1998, том 114, номер 3, страницы 349–365 (Mi tmf845)

$p$-Адические динамические системы
С. А. Альбеверио, Б. Тироцци, А. Ю. Хренников, С. де Шмедт

Эта публикация цитируется в следующих статьяx:
  1. Jacob Blindenbach, Jung Hee Cheon, Gamze Gürsoy, Jiayi Kang, Lecture Notes in Computer Science, 15349, Cyber Security, Cryptology, and Machine Learning, 2025, 268  crossref
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  3. Toka Diagana, “The long-term behavior of the p-adic Sigmoid Beverton-Holt dynamical systems in the projective line P1(Qp)”, Journal of Mathematical Analysis and Applications, 530:1 (2024), 127638  crossref
  4. Ekaterina Yurova Axelsson, Andrei Khrennikov, “Generation of genetic codes with 2-adic codon algebra and adaptive dynamics”, BioSystems, 240 (2024), 105230  crossref
  5. Witold Karwowski, Springer Proceedings in Mathematics & Statistics, 377, Quantum and Stochastic Mathematical Physics, 2023, 315  crossref
  6. Rozikov U.A., “P-Adic Dynamical Systems of the Function Ax(-2)”, P-Adic Numbers Ultrametric Anal. Appl., 13:3 (2021), 239–249  crossref  isi
  7. Rozikov U.A. Sattarov I.A., “Dynamical Systems of the P-Adic (2,2)-Rational Functions With Two Fixed Points”, Results Math., 75:3 (2020), 100  crossref  isi
  8. Iskandar A. Sattarov, Springer Proceedings in Mathematics & Statistics, 264, Algebra, Complex Analysis, and Pluripotential Theory, 2018, 217  crossref
  9. Rozikov U.A. Sattarov I.A., “P-Adic Dynamical Systems of (2,2)-Rational Functions With Unique Fixed Point”, Chaos Solitons Fractals, 105 (2017), 260–270  crossref  mathscinet  zmath  isi  scopus  scopus  scopus
  10. Axelsson E.Yu., “on the Representation of the Genetic Code By the Attractors of 2-Adic Function”, Phys. Scr., T165 (2015), 014043  crossref  adsnasa  isi  scopus  scopus  scopus
  11. I. A. Sattarov, “p-Adic (3, 2)-rational dynamical systems”, P-Adic Num Ultrametr Anal Appl, 7:1 (2015), 39  crossref
  12. Anashin V., Khrennikov A., Yurova E., “Ergodicity Criteria for Non-Expanding Transformations of 2-Adic Spheres”, Discret. Contin. Dyn. Syst., 34:2 (2014), 367–377  crossref  mathscinet  zmath  isi  scopus  scopus  scopus
  13. Khrennikov A., Yurova E., “Criteria of Ergodicity For P-Adic Dynamical Systems in Terms of Coordinate Functions”, Chaos Solitons Fractals, 60 (2014), 11–30  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus  scopus
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  17. Albeverio S., Rozikov U.A., Sattarov I.A., “P-Adic (2,1)-Rational Dynamical Systems”, J. Math. Anal. Appl., 398:2 (2013), 553–566  crossref  mathscinet  zmath  isi  elib  scopus  scopus  scopus
  18. Khrennikov A., Yurova E., “Criteria of Measure-Preserving for P-Adic Dynamical Systems in Terms of the Van der Put Basis”, J. Number Theory, 133:2 (2013), 484–491  crossref  mathscinet  zmath  isi  elib  scopus  scopus  scopus
  19. Mukhamedov F. Rozali Wan Nur Fairuz Alwani Wan, “On a P-Adic Cubic Generalized Logistic Dynamical System”, International Conference on Advancement in Science and Technology 2012 (Icast): Contemporary Mathematics, Mathematical Physics and their Applications, Journal of Physics Conference Series, 435, ed. Ganikhodjaev N. Mukhamedov F. Hee P., IOP Publishing Ltd, 2013  crossref  isi  scopus  scopus  scopus
  20. Ф. М. Мухамедов, У. А. Розиков, “Об одной полиномиальной $p$-адической динамической системе”, ТМФ, 170:3 (2012), 448–456  mathnet  crossref  mathscinet  adsnasa  elib; F. M. Mukhamedov, U. A. Rozikov, “A polynomial $p$-adic dynamical system”, Theoret. and Math. Phys., 170:3 (2012), 376–383  crossref  isi  elib
  21. E. Yurova, “On measure-preserving functions over ℤ3”, P-Adic Num Ultrametr Anal Appl, 4:4 (2012), 326  crossref
  22. Ф. М. Мухамедов, “О хаотическом поведении кубической $p$-адической динамической системы”, Матем. заметки, 83:3 (2008), 468–471  mathnet  crossref  mathscinet  zmath; F. M. Mukhamedov, “On the Chaotic Behavior of Cubic $p$-Adic Dynamical Systems”, Math. Notes, 83:3 (2008), 428–431  crossref  isi
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  24. Dragovich, B, “Linear fractional P-ADIC and adelic dynamical systems”, Reports on Mathematical Physics, 60:1 (2007), 55  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus  scopus
  25. Al-Fulaij, MA, “Identification of amino acid determinants of dopamine 2 receptor synthetic agonist function”, Journal of Pharmacology and Experimental Therapeutics, 321:1 (2007), 298  crossref  isi  scopus  scopus  scopus
  26. Farrukh Mukhamedov, José F. F. Mendes, Progress in Nonlinear Differential Equations and Their Applications, 75, Differential Equations, Chaos and Variational Problems, 2007, 305  crossref
  27. Kaneko, H, “Transition semi-groups on a local field induced by Galois group and their representation”, Journal of Theoretical Probability, 19:1 (2006), 221  crossref  mathscinet  zmath  isi  scopus  scopus  scopus
  28. Kaneko, H, “(r, p)-capacity and Hausdorff measure on a local field”, Indagationes Mathematicae-New Series, 17:2 (2006), 251  crossref  mathscinet  zmath  isi  scopus  scopus  scopus
  29. Khamraev, M, “On a class of rational p-adic dynamical systems”, Journal of Mathematical Analysis and Applications, 315:1 (2006), 76  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus  scopus
  30. Kaneko, H, “Sobolev space and Dirichlet space associated with symmetric Markov process on a local field”, Potential Analysis, 24:1 (2006), 87  crossref  mathscinet  zmath  isi  scopus  scopus  scopus
  31. Boeckler, F, “The structural evolution of dopamine D-3 receptor ligands: Structure-activity relationships and selected neuropharmacological aspects”, Pharmacology & Therapeutics, 112:1 (2006), 281  crossref  isi  scopus  scopus  scopus
  32. Kaneko, H, “Capacities associated with Dirichlet space on an infinite extension of a local field”, Forum Mathematicum, 17:6 (2005), 1011  crossref  mathscinet  zmath  isi  scopus  scopus  scopus
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  34. John Bryk, Cesar E. Silva, “Measurable Dynamics of Simple p-adic Polynomials”, The American Mathematical Monthly, 112:3 (2005), 212  crossref
  35. H. Kaneko, “Analysis Based on the Dirichlet Space Theory on Some Extensions of $\mathbb Q_p$”, Избранные вопросы $p$-адической математической физики и анализа, Сборник статей. К 80-летию со дня рождения академика Василия Сергеевича Владимирова, Труды МИАН, 245, Наука, МАИК «Наука/Интерпериодика», М., 2004, 114–124  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 245 (2004), 105–116
  36. P.-A. Svensson, “Perturbed Dynamical Systems in $\mathfrak p$-Adic Fields”, Избранные вопросы $p$-адической математической физики и анализа, Сборник статей. К 80-летию со дня рождения академика Василия Сергеевича Владимирова, Труды МИАН, 245, Наука, МАИК «Наука/Интерпериодика», М., 2004, 264–272  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 245 (2004), 250–257
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  38. Vivaldi, F, “Pseudo-randomness of round-off errors in discretized linear maps on the plane”, International Journal of Bifurcation and Chaos, 13:11 (2003), 3373  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus  scopus
  39. Kaneko, H, “Time-inhomogeneous stochastic processes on the p-adic number field”, Tohoku Mathematical Journal, 55:1 (2003), 65  crossref  mathscinet  zmath  isi  scopus  scopus  scopus
  40. Kotovich, NV, “Representation and compression of images with the aid of m-adic coordinate systems”, Doklady Mathematics, 66:3 (2002), 330  zmath  isi
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  42. Khrennikov, A, “Small denominators in complex p-adic dynamics”, Indagationes Mathematicae-New Series, 12:2 (2001), 177  crossref  mathscinet  zmath  isi  scopus  scopus  scopus
  43. Khrennikov, A, “On the number of cycles of p-adic dynamical systems”, Journal of Number Theory, 90:2 (2001), 255  crossref  mathscinet  zmath  isi  scopus  scopus
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  45. Khrennikov, A, “Classical and quantum dynamics on p-adic trees of ideas”, Biosystems, 56:2–3 (2000), 95  crossref  isi  scopus  scopus  scopus
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  47. С. А. Альбеверио, П. Е. Кледен, А. Ю. Хренников, “Память человека как $p$-адическая динамическая система”, ТМФ, 117:3 (1998), 385–396  mathnet  crossref  mathscinet  zmath; S. A. Albeverio, P. E. Kloeden, A. Yu. Khrennikov, “Human memory as a $p$-adic dynamic system”, Theoret. and Math. Phys., 117:3 (1998), 1414–1422  crossref  isi


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