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  1. 2024

  2. Rotations and Integrability

    Цыганов, А. В., 3 Dec 2024, In: Regular and Chaotic Dynamics. 29, 6, p. 913-930 18 p.

    Research output: Contribution to journal › Article › peer-review

  3. On rotation invariant integrable systems

    Tsiganov, A. V., 2024, In: Izvestiya Mathematics. 88, 2, p. 389–409 20 p.

    Research output: Contribution to journal › Article › peer-review

  4. Об инвариантных относительно вращений интегрируемых системах

    Цыганов, А. В., 2024, In: ИЗВЕСТИЯ РОССИЙСКОЙ АКАДЕМИИ НАУК. СЕРИЯ МАТЕМАТИЧЕСКАЯ. 88, 2, p. 206-226 20 p.

    Research output: Contribution to journal › Article › peer-review

  5. 2023

  6. Integrable Systems on a Sphere, an Ellipsoid and a Hyperboloid

    Цыганов, А. В., 1 Nov 2023, In: Regular and Chaotic Dynamics. 28, 6

    Research output: Contribution to journal › Article › peer-review

  7. Second order Killing tensors related to symmetric spaces

    Цыганов, А. В. & Порубов, Е. О., Sep 2023, In: Journal of Geometry and Physics. 91, 104911.

    Research output: Contribution to journal › Article › peer-review

  8. On a class of quadratic conservation laws for Newton equations in Euclidean space

    Tsiganov, A. V. & Porubov, E. O., 1 Aug 2023, In: Theoretical and Mathematical Physics. 216, 2, p. 1209–1237 29 p.

    Research output: Contribution to journal › Article › peer-review

  9. Об одном классе квадратичных законов сохранения для уравнений Ньютона в евклидовом пространстве

    Цыганов, А. В. & Порубов, Е. О., 1 Aug 2023, In: Theoretical and Mathematical Physics. 216, 2, p. 350-382 33 p.

    Research output: Contribution to journal › Article › peer-review

  10. 2022

  11. Equivalent Integrable Metrics on the Sphere with Quartic Invariants

    Tsiganov, A. V., 6 Dec 2022, In: Symmetry, Integrability and Geometry: Methods and Applications (SIGMA). 18, 19 p., 94.

    Research output: Contribution to journal › Article › peer-review

  12. Reducible Abelian varieties and Lax matrices for Euler's problem of two fixed centres

    Цыганов, А. В., 6 Oct 2022, In: Nonlinearity. 35, 10, p. 5357-5372 16 p., 5357.

    Research output: Contribution to journal › Article › peer-review

  13. On integrable systems outside Nijenhuis and Haantjes geometry

    Tsiganov, A. V., 1 Aug 2022, In: Journal of Geometry and Physics. 178, p. 104571 104571.

    Research output: Contribution to journal › Article › peer-review

  14. On Killing tensors in three-dimensional Euclidean space

    Цыганов, А. В., 1 Jul 2022, In: Theoretical and Mathematical Physics. 212, 1, p. 1019-1032 14 p.

    Research output: Contribution to journal › Article › peer-review

  15. On two-dimensional Hamiltonian systems with sixth-order integrals of motion

    Porubov, E. O. & Tsiganov, A. V., Jul 2022, In: Communications in Nonlinear Science and Numerical Simulation. 110, 1 p., 106404.

    Research output: Contribution to journal › Article › peer-review

  16. Reduction of Divisors and the Clebsch System

    Tsiganov, A. V., 1 May 2022, In: Regular and Chaotic Dynamics. 27, 3, p. 307-319 13 p.

    Research output: Contribution to journal › Article › peer-review

  17. 2021

  18. Chaplygin ball in a solenoidal field

    Borisov, A. V. & Tsiganov, A. V., Jun 2021, In: Russian Mathematical Surveys. 76, 3, p. 546–548 3 p.

    Research output: Contribution to journal › Short survey › peer-review

  19. On inhomogeneous nonholonomic Bilimovich system

    Borisov, A. V., Tsiganov, A. V. & Mikishanina, E. A., Mar 2021, In: Communications in Nonlinear Science and Numerical Simulation. 94, 11 p., 105573.

    Research output: Contribution to journal › Article › peer-review

  20. Reduction of abelian integrals and Kowalevski top

    Tsiganov, A. V., 2021, (E-pub ahead of print) Mathematicians from Saint Petersburg and their theorems.

    Research output: Chapter in Book/Report/Conference proceeding › Entry for encyclopedia/dictionary › Popular Science › peer-review

  21. Steklov top

    Tsiganov, A., 2021, (E-pub ahead of print) Mathematicians from Saint Petersburg and their theorems.

    Research output: Chapter in Book/Report/Conference proceeding › Entry for encyclopedia/dictionary › Popular Science › peer-review

  22. ДВИЖЕНИЕ ТВЕРДЫХ ТЕЛ В МАГНИТНОМ ПОЛЕ ПРИ УЧЕТЕ ТРЕНИЯ

    Цыганов, А. В., 2021, p. 570-571. 2 p.

    Research output: Contribution to conference › Paper

  23. 2020

  24. On the Bilimovich system with inhomogeneous non-stationary nonholonomic relation

    Борисов, А. В., Микишанина, Е. & Цыганов, А. В., 28 Dec 2020, 2020 International Conference Nonlinearity, Information and Robotics (NIR). Kurenkov, V. (ed.). Institute of Electrical and Electronics Engineers Inc., Vol. IEEE Catalog Number: CFP20X45-ART. p. 114-116 2 p.

    Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review

  25. On rheonomic nonholonomic deformations of the Euler equations proposed by Bilimovich

    Борисов, А. В. & Цыганов, А. В., Dec 2020, In: Theoretical and Applied Mechanics. 47, 2, p. 155-168

    Research output: Contribution to journal › Article › peer-review

  26. Reduction of divisors for classical superintegrable GL(3) magnetic chain

    Цыганов, А. В., 1 Nov 2020, In: Journal of Mathematical Physics. 61, 11, 11 p., 112703.

    Research output: Contribution to journal › Article › peer-review

  27. Discretization and superintegrability all rolled into one

    Tsiganov, A., Sep 2020, In: Nonlinearity. 33, 9, p. 4924-4939 16 p.

    Research output: Contribution to journal › Article › peer-review

  28. On a Time-Dependent Nonholonomic Oscillator

    Tsiganov, A. V., Jul 2020, In: Russian Journal of Mathematical Physics. 27, 3, p. 399-409 11 p.

    Research output: Contribution to journal › Article › peer-review

  29. The Motion of a Nonholonomic Chaplygin Sphere in a Magnetic Field, the Grioli Problem, and the Barnett–London Effect

    Tsiganov, A. V., 1 Mar 2020, In: Doklady Physics. 65, 3, p. 90-93 4 p.

    Research output: Contribution to journal › Article › peer-review

  30. О гипотезе Мищенко - Фоменко для обобщённого осциллятора и системы Кеплера

    Vladimirovich, T. A., 1 Jan 2020, In: Chebyshevskii Sbornik. 21, 2, p. 383-402 20 p.

    Research output: Contribution to journal › Article › peer-review

  31. On the Nonholonomic Routh Sphere in a Magnetic Field

    Borisov, A. V. & Tsiganov, A. V., Jan 2020, In: Regular and Chaotic Dynamics. 25, 1, p. 18-32 15 p.

    Research output: Contribution to journal › Article › peer-review

  32. Superintegrable systems and Riemann-Roch theorem

    Tsiganov, A. V., 2020, In: Journal of Mathematical Physics. 61, 1, 14 p., 012701.

    Research output: Contribution to journal › Article › peer-review

  33. 2019

  34. The Kepler Problem: Polynomial Algebra of Nonpolynomial First Integrals

    Tsiganov, A. V., 1 Jul 2019, In: Regular and Chaotic Dynamics. 24, 4, p. 353-369 17 p.

    Research output: Contribution to journal › Article › peer-review

  35. Superintegrable Systems with Algebraic and Rational Integrals of Motion

    Tsiganov, A. V., 1 May 2019, In: Theoretical and Mathematical Physics(Russian Federation). 199, 2, p. 659-674 16 p.

    Research output: Contribution to journal › Article › peer-review

  36. Elliptic curve arithmetic and superintegrable systems

    Tsiganov, A. V., 29 Apr 2019, In: Physica Scripta. 94, 8, p. 085207 12 p., 085207.

    Research output: Contribution to journal › Article › peer-review

  37. Transformation of the Stäckel matrices preserving superintegrability

    Tsiganov, A. V., 1 Apr 2019, In: Journal of Mathematical Physics. 60, 4, 0427011.

    Research output: Contribution to journal › Article › peer-review

  38. Hamiltonization and Separation of Variables for a Chaplygin Ball on a Rotating Plane

    Tsiganov, A. V., 1 Mar 2019, In: Regular and Chaotic Dynamics. 24, 2, p. 171-186 16 p.

    Research output: Contribution to journal › Article › peer-review

  39. Influence of Bartnett-London and Einstein-de Haas effects on the motion of the nonholonomic sphere of Routh

    Borisov, A. V. & Tsiganov, A. V., 2019, In: ВЕСТНИК УДМУРТСКОГО УНИВЕРСИТЕТА. МАТЕМАТИКА. МЕХАНИКА. КОМПЬЮТЕРНЫЕ НАУКИ. 29, 4, p. 583-598 16 p.

    Research output: Contribution to journal › Article › peer-review

  40. On the Chaplygin Sphere in a Magnetic Field

    Borisov, A. V. & Tsiganov, A. V., 2019, In: Regular and Chaotic Dynamics. 24, 6, p. 739-754 16 p.

    Research output: Contribution to journal › Article › peer-review

  41. О суперинтегрируемых системax c алгебраическими и рациональными интегралами движения.

    Цыганов, А. В., 2019, In: ТЕОРЕТИЧЕСКАЯ И МАТЕМАТИЧЕСКАЯ ФИЗИКА. 199, 2, p. 218-234

    Research output: Contribution to journal › Article › peer-review

  42. 2018

  43. Discretization of Hamiltonian Systems and Intersection Theory

    Tsiganov, A. V., 1 Dec 2018, In: Theoretical and Mathematical Physics(Russian Federation). 197, 3, p. 1806-1822 17 p.

    Research output: Contribution to journal › Article › peer-review

  44. On Discretization of the Euler Top

    Tsiganov, A. V., 1 Nov 2018, In: Regular and Chaotic Dynamics. 23, 6, p. 785-796 12 p.

    Research output: Contribution to journal › Article › peer-review

  45. On superintegrable systems separable in Cartesian coordinates

    Tsiganov, A. V. & Григорьев, Ю. А., 17 Aug 2018, In: Physics Letters, Section A: General, Atomic and Solid State Physics. 382, 32, p. 2092-2096 5 p.

    Research output: Contribution to journal › Article › peer-review

  46. On exact discretization of cubic-quintic Duffing oscillator

    Tsiganov, A. V., 1 Jul 2018, In: Journal of Mathematical Physics. 59, 7, 15 p., 072703.

    Research output: Contribution to journal › Article › peer-review

  47. Bäcklund transformations and divisor doubling

    Tsiganov, A. V., 1 Mar 2018, In: Journal of Geometry and Physics. 126, p. 148-158 11 p.

    Research output: Contribution to journal › Article › peer-review

  48. Bäcklund Transformations and New Integrable Systems on the Plane

    Tsiganov, A. V., 1 Jan 2018, Recent Developments in Integrable Systems and Related Topics of Mathematical Physics - Kezenoi-Am, 2016. Mikhailov, A. V., Buchstaber, V. M. & Konstantinou-Rizos, S. (eds.). Springer Nature, Vol. 273. p. 47-74 28 p.

    Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review

  49. Duffing oscillator and elliptic curve cryptography

    Tsiganov, A. V., 1 Jan 2018, In: Nelineinaya Dinamika. 14, 2, p. 235-241 7 p.

    Research output: Contribution to journal › Article › peer-review

  50. 2017

  51. Bäcklund transformations for the Jacobi system on an ellipsoid

    Tsiganov, A. V., 1 Sep 2017, In: Theoretical and Mathematical Physics(Russian Federation). 192, 3, p. 1350-1364 15 p.

    Research output: Contribution to journal › Article › peer-review

  52. Integrable discretization and deformation of the nonholonomic Chaplygin ball

    Tsiganov, A. V., 1 Jul 2017, In: Regular and Chaotic Dynamics. 22, 4, p. 353-367 15 p.

    Research output: Contribution to journal › Article › peer-review

  53. New bi-Hamiltonian systems on the plane

    Tsiganov, A. V., 1 Jun 2017, In: Journal of Mathematical Physics. 58, 6, 062901.

    Research output: Contribution to journal › Article › peer-review

  54. Bäcklund transformations for the nonholonomic Veselova system

    Tsiganov, A. V., 1 Mar 2017, In: Regular and Chaotic Dynamics. 22, 2, p. 163-179 17 p.

    Research output: Contribution to journal › Article › peer-review

  55. On an integrable system on a plane with an integral of motion of sixth order in momenta

    Tsiganov, A. V., 2017, In: Nelineinaya Dinamika. 13, 1, p. 117-127 11 p.

    Research output: Contribution to journal › Article › peer-review

  56. Об одной интегрируемой системе на плоскости с интегралом движения шестой степени по импульсам

    Цыганов, А. В., 2017, In: НЕЛИНЕЙНАЯ ДИНАМИКА. 13, 1, p. 117–127

    Research output: Contribution to journal › Article › peer-review

  57. 2016

  58. Abel’s theorem and Bäcklund transformations for the Hamilton-Jacobi equations

    Tsiganov, A. V., 1 Nov 2016, In: Proceedings of the Steklov Institute of Mathematics. 295, 1, p. 243-273 31 p.

    Research output: Contribution to journal › Article › peer-review

  59. On a family of Bäcklund transformations

    Tsiganov, A. V., 1 May 2016, In: Doklady Mathematics. 93, 3, p. 292-294 3 p.

    Research output: Contribution to journal › Article › peer-review

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