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Tsiganov, Andrey Vladimirovich

Total publications: 151 (149)
in MathSciNet: 116 (116)
in zbMATH: 101 (101)
in Web of Science: 109 (109)
in Scopus: 114 (114)
Cited articles: 125
Citations in Math-Net.Ru: 386
Citations in Web of Science: 805
Citations in Scopus: 980
Presentations: 4

Number of views:
This page:4236
Abstract pages:16802
Full texts:4895
References:2040
Tsiganov, Andrey Vladimirovich
Associate professor
Doctor of physico-mathematical sciences (2003)
Speciality: 01.04.02 (Theoretical physics)
Birth date: 28.03.1963
E-mail:
Keywords: integrable systems; nonholonomic systems; bi-Hamiltonian geometry.
UDC: 517.9, 517.93, 531.011

Subject:

Classical mechanics, mathematical physics.

   
Main publications:
  • The Maupertuis principle and canonical transformations of the extended phase space // J. Nonlinear Math. Phys., v. 8(1), p. 157–182, 2001.
  • On the invariant separated variables // Regular and Chaotic Dynamics, v. 6(3), p. 307–326, 2001.

http://www.mathnet.ru/eng/person17520
List of publications on Google Scholar
https://zbmath.org/authors/?q=ai:tsiganov.andrey-vladimirovich
https://mathscinet.ams.org/mathscinet/MRAuthorID/256227
https://elibrary.ru/author_items.asp?spin=3084-6239
http://orcid.org/0000-0001-7228-9593
http://www.researcherid.com/rid/B-4674-2011
https://www.scopus.com/authid/detail.url?authorId=7003435326
https://www.researchgate.net/profile/Andrey_Tsiganov

Full list of publications:
| scientific publications | by years | by types | by times cited in WoS | by times cited in Scopus | common list |



   2021
1. A. V. Borisov, A. V. Tsiganov, E. A. Mikishanina, “On inhomogeneous nonholonomic Bilimovich system”, Commun. Nonlinear Sci. Numer. Simul., 94 (2021), 105573 , 11 pp.  mathnet  crossref  isi  scopus (cited: 1);
2. A. V. Borisov, A. V. Tsiganov, Uspekhi Mat. Nauk  mathnet  crossref

   2020
3. Alexey V. Borisov, Andrey V. Tsiganov, “On the Nonholonomic Routh Sphere in a Magnetic Field”, Regul. Chaotic Dyn., 25:1 (2020), 18–32  mathnet (cited: 1)  crossref  mathscinet  isi (cited: 1)  scopus;
4. A. V. Borisov, A. V. Tsiganov, Doklady RAN. Fiz. Tekhn. Nauki, 491:1 (2020), 30–33  mathnet  crossref  isi  elib
5. A. V. Tsiganov, “On a Time-Dependent Nonholonomic Oscillator”, Russ. J. Math. Phys., 27:3 (2020), 399–409  mathnet  crossref  mathscinet  isi  scopus;
6. A. V. Tsiganov, “On the Mishchenko–Fomenko hypothesis for a generalized oscillator and Kepler system”, Chebyshevskii Sb., 21:2 (2020), 383–402  mathnet  crossref
7. A. V. Borisov, A. V. Tsiganov, “On rheonomic nonholonomic deformations of the Euler equations proposed by Bilimovich”, Theor. Appl. Mech., 47:2 (2020), 155–168  mathnet  crossref  isi  scopus (cited: 3);

   2019
8. A. V. Tsiganov, “Superintegrable systems with algebraic and rational integrals of motion”, Theoret. and Math. Phys., 199:2 (2019), 659–674  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 3)  elib  scopus (cited: 4)
9. Andrey V. Tsiganov, “Hamiltonization and Separation of Variables for a Chaplygin Ball on a Rotating Plane”, Regul. Chaotic Dyn., 24:2 (2019), 171–186  mathnet (cited: 6)  crossref  mathscinet  zmath  isi (cited: 6)  scopus (cited: 6)
10. Andrey V. Tsiganov, “The Kepler Problem: Polynomial Algebra of Nonpolynomial First Integrals”, Regul. Chaotic Dyn., 24:4 (2019), 353–369  mathnet (cited: 3)  crossref  mathscinet  zmath  isi (cited: 2)  scopus (cited: 3)
11. Alexey V. Borisov, Andrey V. Tsiganov, “On the Chaplygin Sphere in a Magnetic Field”, Regul. Chaotic Dyn., 24:6 (2019), 739–754  mathnet (cited: 2)  crossref  mathscinet  zmath  isi (cited: 2)  scopus (cited: 2)
12. A. V. Borisov, A. V. Tsiganov, “Influence of Bartnett–London and Einstein–de Haas effects on the motion of the nonholonomic sphere of Routh”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 29:4 (2019), 583–598  mathnet  crossref  isi  scopus
13. A. V. Tsyganov, Yu. V. Tsyganova, A. V. Golubkov, I. O. Petrishchev, “Adaptive estimation of a moving object trajectory using sequential hypothesis testing”, Vestn. YuUrGU. Ser. Matem. modelirovanie i programmirovanie, 12:1 (2019), 156–162  mathnet  crossref  isi  elib;

   2018
14. A. V. Tsiganov, “Discretization of Hamiltonian systems and intersection theory”, Theoret. and Math. Phys., 197:3 (2018), 1806–1822  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 4)  elib  scopus (cited: 5)
15. A. V. Tsiganov, “Duffing Oscillator and Elliptic Curve Cryptography”, Nelineinaya dinam., 14:2 (2018), 235–241  mathnet  crossref  elib  scopus
16. Andrey V. Tsiganov, “On Discretization of the Euler Top”, Regul. Chaotic Dyn., 23:6 (2018), 785–796  mathnet (cited: 2)  crossref  mathscinet  zmath  isi (cited: 2)  scopus (cited: 2)
17. J. V. Tsyganova, A. V. Tsyganov, “On the computation of derivatives within LD factorization of parametrized matrices”, The Bulletin of Irkutsk State University. Series Mathematics, 23 (2018), 64–79  mathnet  crossref  isi  elib

   2017
18. A. V. Tsiganov, “Bäcklund transformations for the Jacobi system on an ellipsoid”, Theoret. and Math. Phys., 192:3 (2017), 1204–1218  mathnet  crossref  crossref  mathscinet  adsnasa  isi (cited: 10)  elib  scopus (cited: 10)
19. A. V. Tsiganov, “On an integrable system on a plane with an integral of motion of sixth order in momenta”, Nelin. Dinam., 13:1 (2017), 117–127  mathnet  crossref  elib
20. Andrey V. Tsiganov, “Bäcklund Transformations for the Nonholonomic Veselova System”, Regul. Chaotic Dyn., 22:2 (2017), 163–179  mathnet (cited: 11)  crossref  isi (cited: 10)  scopus (cited: 11)
21. Andrey V. Tsiganov, “Integrable Discretization and Deformation of the Nonholonomic Chaplygin Ball”, Regul. Chaotic Dyn., 22:4 (2017), 353–367  mathnet (cited: 11)  crossref  isi (cited: 9)  scopus (cited: 11)
22. I. V. Semushin, A. V. Tsiganov, Yu. V. Tsyganova, A. V. Golubkov, S. D. Vinokurov, “Modelling and estimation of a moving object trajectory”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 10:3 (2017), 108–119  mathnet  crossref  isi  elib  scopus

   2016
23. A. V. Tsiganov, “Two integrable systems with integrals of motion of degree four”, Theoret. and Math. Phys., 186:3 (2016), 383–394  mathnet  crossref  crossref  mathscinet  adsnasa  adsnasa  isi  elib  scopus
24. A. V. Tsiganov, “Abel's theorem and Bäcklund transformations for the Hamilton–Jacobi equations”, Proc. Steklov Inst. Math., 295 (2016), 243–273  mathnet  crossref  crossref  mathscinet  isi (cited: 2)  elib  elib  scopus (cited: 3)
25. Yury A. Grigoryev, Alexey P. Sozonov, Andrey V. Tsiganov, “Integrability of Nonholonomic Heisenberg Type Systems”, SIGMA, 12 (2016), 112 , 14 pp., arXiv: 1603.03528  mathnet (cited: 3)  crossref  isi (cited: 2)  scopus (cited: 3)
26. Yu. A. Grigor'ev, A. P. Sozonov, A. V. Tsiganov, “On an integrable system on the plane with velocity-dependent potential”, Nelin. Dinam., 12:3 (2016), 355–367  mathnet  crossref  mathscinet  elib

   2015
27. Andrey V. Tsiganov, “Separation of variables for some generalization of the Chaplygin system on a sphere”, Nelin. Dinam., 11:1 (2015), 179–185  mathnet  elib
28. A. P. Sozonov, A. V. Tsiganov, “Bäcklund transformations relating different Hamilton–Jacobi equations”, Theoret. and Math. Phys., 183:3 (2015), 768–781  mathnet  crossref  crossref  mathscinet  adsnasa  isi (cited: 5)  elib  scopus (cited: 6)
29. A. V. Tsiganov, “Killing Tensors with Nonvanishing Haantjes Torsion and Integrable Systems”, Regul. Chaotic Dyn., 20:4 (2015), 463–475  mathnet (cited: 5)  crossref  mathscinet  zmath  adsnasa  isi (cited: 4)  elib (cited: 1)  scopus (cited: 6)
30. Andrey V. Tsiganov, “On Integrable Perturbations of Some Nonholonomic Systems”, SIGMA, 11 (2015), 85–19  mathnet (cited: 3)  crossref  isi (cited: 3)  scopus (cited: 3)
31. Andrey V. Tsiganov, “Simultaneous Separation for the Neumann and Chaplygin Systems”, Regul. Chaotic Dyn., 20:1 (2015), 74–93  mathnet (cited: 23)  crossref  mathscinet  zmath  isi (cited: 22)  scopus (cited: 23)

   2014
32. A. V. Borisov, I. S. Mamaev, A. V. Tsiganov, “On the Nonlinear Poisson Bracket Arising in Nonholonomic Mechanics”, Math. Notes, 95:3 (2014), 308–315  mathnet  crossref  crossref  mathscinet  isi (cited: 1)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 1)
33. A. V. Borisov, I. S. Mamaev, A. V. Tsiganov, “Non-holonomic dynamics and Poisson geometry”, Russian Math. Surveys, 69:3 (2014), 481–538  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 19)  elib (cited: 5)  elib (cited: 5)  scopus (cited: 19)
34. Alexander V. Vershilov, Yury A. Grigoryev, Andrey V. Tsiganov, “On an integrable deformation of the Kowalevski top”, Nelin. Dinam., 10:2 (2014), 223–236  mathnet  elib
35. Andrey V. Tsiganov, “On the Lie Integrability Theorem for the Chaplygin Ball”, Regul. Chaotic Dyn., 19:2 (2014), 185–197  mathnet (cited: 6)  crossref  mathscinet  zmath  isi (cited: 6)

   2013
36. Andrey V. Tsiganov, “On a Trivial Family of Noncommutative Integrable Systems”, SIGMA, 9 (2013), 15–13  mathnet (cited: 4)  crossref  mathscinet  isi (cited: 1)  scopus (cited: 1)
37. A. V. Tsiganov, “On the Chaplygin Problem of the Rolling of a Ball”, Math. Notes, 94:4 (2013), 599–602  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 1)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 1)
38. A. V. Tsiganov, “Brief rewiev of main scientometric indices based on citations”, UBS, 44 (2013), 248–261  mathnet  elib
39. Yu. A. Grigor'ev, V. A. Khudobakhshov, A. V. Tsiganov, “Separation of variables for some systems with a fourth-order integral of motion”, Theoret. and Math. Phys., 177:3 (2013), 1680–1692  mathnet  crossref  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 1)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 1)
40. Andrey V. Tsiganov, “On the absolute dynamics of the Chaplygin ball”, Nelin. Dinam., 9:4 (2013), 711–719  mathnet  elib

   2012
41. Andrey V. Tsiganov, “New variables of separation for the Steklov–Lyapunov system”, SIGMA, 8 (2012), 12–14  mathnet (cited: 5)  crossref  mathscinet  isi (cited: 5)  scopus (cited: 5)
42. A. V. Tsiganov, “On the bi-Hamiltonian structure of the Chaplygin and Borisov–Mamaev–Fedorov systems at a zero constant of areas. II”, Nelin. Dinam., 8:1 (2012), 43–55  mathnet  elib
43. Andrey V. Tsiganov, “Superintegrable Stäckel systems on the plane: elliptic and parabolic coordinates”, SIGMA, 8 (2012), 31–9  mathnet (cited: 5)  crossref  mathscinet  isi (cited: 5)  scopus (cited: 5)
44. A. V. Tsiganov, “On the Poisson structures for the Chaplygin ball and its generalizations”, Nelin. Dinam., 8:2 (2012), 345–353  mathnet  elib
45. A. V. Tsiganov, “One family of conformally Hamiltonian systems”, Theoret. and Math. Phys., 173:2 (2012), 1481–1497  mathnet  crossref  crossref  mathscinet  adsnasa  isi (cited: 12)  elib (cited: 7)  elib (cited: 7)  scopus (cited: 12)
46. Ivan A. Bizyaev, Andrey V. Tsiganov, “On the Routh sphere”, Nelin. Dinam., 8:3 (2012), 569–583  mathnet  mathscinet  elib
47. Andrey V. Tsiganov, “On the nonholonomic Veselova and Chaplygin systems”, Nelin. Dinam., 8:3 (2012), 541–547  mathnet  elib
48. Andrey V. Tsiganov, “One Invariant Measure and Different Poisson Brackets for Two Non-Holonomic Systems”, Regul. Chaotic Dyn., 17:1 (2012), 72–96  mathnet (cited: 8)  crossref  mathscinet  zmath  scopus (cited: 11)
49. Andrey V. Tsiganov, “On the Poisson Structures for the Nonholonomic Chaplygin and Veselova Problems”, Regul. Chaotic Dyn., 17:5 (2012), 439–450  mathnet (cited: 12)  crossref  mathscinet  zmath  adsnasa  scopus (cited: 14)

   2011
50. A. V. Tsiganov, “On deformations of the canonical Poisson bracket for the nonholonomic Chaplygin and the Borisov–Mamaev–Fedorov systems on zero-level of the area integral. I”, Nelin. Dinam., 7:3 (2011), 577–599  mathnet  elib
51. V. A. Khudobakhshov, A. V. Tsiganov, “Integrable systems on the sphere associated with genus three algebraic curves”, Nelin. Dinam., 7:1 (2011), 53–74  mathnet  elib
52. A. J. MacIejewski, M. Przybylska, A. V. Tsiganov, “On algebraic construction of certain integrable and super-integrable systems”, Physica D: Nonlinear Phenomena, 240:18 (2011), 1426–1448  crossref  mathscinet  zmath  adsnasa  isi (cited: 17)  scopus (cited: 16)
53. Yu. A. Grigoryev, A. V. Tsiganov, “Separation of variables for the generalized Henon-Heiles system and system with quartic potential”, Journal of Physics A: Mathematical and Theoretical, 44:25 (2011), 255202  crossref  mathscinet  zmath  adsnasa  isi (cited: 9)  scopus (cited: 6)
54. A. V. Tsiganov, V. A. Khudobakhshov, “Integrable systems on the sphere associated with genus three algebraic curves”, Regular and Chaotic Dynamics, 16:3 (2011), 396–414  mathnet (cited: 5)  crossref  mathscinet  zmath  adsnasa  isi (cited: 3)  scopus (cited: 3)
55. A. V. Tsiganov, “On bi-integrable natural hamiltonian systems on Riemannian manifolds”, Journal of Nonlinear Mathematical Physics, 18:2 (2011), 245–268  crossref  mathscinet  zmath  adsnasa  isi (cited: 18)  scopus (cited: 19)
56. A. V. Tsiganov, “On natural Poisson bivectors on the sphere”, Journal of Physics A: Mathematical and Theoretical, 44:10 (2011), 105203  crossref  mathscinet  zmath  adsnasa  isi (cited: 11)  scopus (cited: 10)
57. A. V. Tsiganov, “Comments on P. E. Ryabov “Explicit integration and topology of D. N. Goryachev case””, Nelin. Dinam., 7:3 (2011), 715–717  mathnet
58. A. V. Borisov, A. V. Tsiganov, Nelin. Dinam., 7:1 (2011), 177–187  mathnet

   2010
59. A. V. Tsiganov, “New variables of separation for particular case of the Kowalewski top”, Nelin. Dinam., 6:3 (2010), 639–652  mathnet  elib
60. A. V. Tsiganov, “On the generalized Chaplygin system”, Voprosy kvantovoi teorii polya i statisticheskoi fiziki. 21, Zap. nauchn. sem. POMI, 374, POMI, SPb., 2010, 250–267  mathnet (cited: 6)  mathscinet
61. A. V. Tsiganov, “New variables of separation for particular case of the Kowalevski top”, Regular and Chaotic Dynamics, 15:6 (2010), 659–669  mathnet (cited: 6)  crossref  mathscinet  zmath  zmath  adsnasa  isi (cited: 10)  scopus (cited: 10)
62. A. V. Tsiganov, “On the generalized Chaplygin system”, Journal of Mathematical Sciences, 168:6 (2010), 901–911  crossref  mathscinet  zmath  scopus (cited: 9)
63. A. V. Tsiganov, “On the superintegrable Richelot systems”, Journal of Physics A: Mathematical and Theoretical, 43:5 (2010), 055201  crossref  mathscinet  zmath  adsnasa  isi (cited: 7)  scopus (cited: 8)

   2009
64. Yu. A. Grigor'ev, A. V. Tsiganov, “On the Abel equations and the Richelot integrals”, Nelin. Dinam., 5:4 (2009), 463–478  mathnet  elib
65. A. V. Tsiganov, “Change of the time for the periodic Toda lattices and natural systems on the plane with higher order integrals of motion”, Regular and Chaotic Dynamics, 14:4-5 (2009), 541–549  mathnet (cited: 2)  crossref  mathscinet  zmath  adsnasa  isi (cited: 2)  scopus (cited: 2)
66. A. V. Vershilov, A. V. Tsiganov, “On bi-Hamiltonian geometry of some integrable systems on the sphere with cubic integral of motion”, Journal of Physics A: Mathematical and Theoretical, 42:10 (2009), 105203  crossref  mathscinet  zmath  adsnasa  isi (cited: 12)  scopus (cited: 13)
67. A. V. Tsiganov, “Leonard Euler: Addition theorems and superintegrable systems”, Regular and Chaotic Dynamics, 14:3 (2009), 389–406  mathnet (cited: 9)  crossref  mathscinet  zmath  adsnasa  isi (cited: 15)  scopus (cited: 16)
68. A. V. Tsiganov, “On the bi-Hamiltonian structure of the Goryachev system on the sphere”, Doklady Mathematics, 79:3 (2009), 430–433  crossref  zmath  isi  elib  scopus
69. Yu. A. Grigoryev, V. A. Khudobakhshov, A. V. Tsiganov, “On Euler superintegrable systems”, Journal of Physics A: Mathematical and Theoretical, 42:7 (2009), 075202  crossref  mathscinet  zmath  adsnasa  isi (cited: 5)  scopus (cited: 4)

   2008
70. N. A. Kostov, A. A. Tsiganov, “New Lax pair for restricted multiple three wave interaction system, quasiperiodic solutions and bi-Hamiltonian structure”, Regular and Chaotic Dynamics, 13:6 (2008), 593–601  mathnet  crossref  mathscinet  zmath  adsnasa  isi (cited: 1)  scopus (cited: 1)
71. A. V. Tsyganov, “Addition theorems and superintegrable systems”, Doklady Mathematics, 78:2 (2008), 759–762  crossref  mathscinet  zmath  isi  elib  scopus
72. A. V. Tsiganov, “Addition theorems and the Drach superintegrable systems”, Journal of Physics A: Mathematical and Theoretical, 41:33 (2008), 335204  crossref  mathscinet  zmath  isi (cited: 16)  scopus (cited: 18)
73. A. V. Tsiganov, “On bi-Hamiltonian geometry of the Lagrange top”, Journal of Physics A: Mathematical and Theoretical, 41:31 (2008), 315212  crossref  mathscinet  zmath  adsnasa  isi (cited: 14)  scopus (cited: 15)
74. A. V. Tsiganov, “On bi-hamiltonian structure of some integrable systems on so* (4)”, Journal of Nonlinear Mathematical Physics, 15:2 (2008), 171–185  crossref  mathscinet  zmath  adsnasa  isi (cited: 9)  scopus (cited: 10)
75. A. V. Tsiganov, “The Poisson bracket compatible with the classical reflection equation algebra”, Regular and Chaotic Dynamics, 13:3 (2008), 191–203  mathnet (cited: 3)  crossref  mathscinet  zmath  adsnasa  isi (cited: 8)  scopus (cited: 9)
76. A. V. Tsiganov, “On maximally superintegrable systems”, Regular and Chaotic Dynamics, 13:3 (2008), 178–190  mathnet (cited: 9)  crossref  mathscinet  zmath  adsnasa  isi (cited: 17)  scopus (cited: 18)
77. A. L. Kostko, A. V. Tsiganov, “On the bi-hamiltonian structures for the Goryachev-Chaplygin top”, Regular and Chaotic Dynamics, 13:1 (2008), 38–45  mathnet  crossref  mathscinet  zmath  isi (cited: 1)

   2007
78. A. V. Vershilov, A. V. Tsiganov, “On the Darboux–Nijenhuis variables on the Poisson manifold $so^*(4)$”, Nelin. Dinam., 3:2 (2007), 141–155  mathnet  elib
79. A. V. Tsiganov, “Darboux–Nijenhuis variables for open generalized Toda chains”, Theoret. and Math. Phys., 152:3 (2007), 1243–1257  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 3)  elib  scopus (cited: 3)
80. A. V. Tsiganov, “Compatible Lie–Poisson brackets on the Lie algebras $e(3)$ and $so(4)$”, Theoret. and Math. Phys., 151:1 (2007), 459–473  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 1)  elib  scopus (cited: 6)
81. A. V. Tsiganov, “Separation of variables for a pair of integrable systems on so*(4)”, Doklady Mathematics, 76:3 (2007), 839–842  crossref  mathscinet  zmath  isi (cited: 5)  elib (cited: 7)  scopus (cited: 6)
82. A. V. Tsiganov, “A family of the Poisson brackets compatible with the Sklyanin bracket”, Journal of Physics A: Mathematical and Theoretical, 40:18 (2007), 4803–4816  crossref  mathscinet  zmath  adsnasa  isi (cited: 13)  scopus (cited: 15)
83. A. V. Tsiganov, “On two different bi-Hamiltonian structures for the Toda lattice”, Journal of Physics A: Mathematical and Theoretical, 40:24 (2007), 008, 6395–6406  crossref  mathscinet  zmath  adsnasa  isi (cited: 20)  scopus (cited: 22)
84. I. V. Komarov, A. V. Tsiganov, “On classical r matrix for the Kowalevski gyrostat on so(4)”, Physics of Atomic Nuclei, 70:3 (2007), 554–559  crossref  adsnasa  isi  scopus

   2006
85. A. V. Tsiganov, “On elliptic coordinates on the Lie algebra $e(3)$”, Nelin. Dinam., 2:3 (2006), 347–352  mathnet  elib
86. Yuriy A. Grigoryev, Andrey V. Tsiganov, “On the Darboux–Nijenhuis Variables for the Open Toda Lattice”, SIGMA, 2 (2006), 97–15  mathnet (cited: 7)  crossref  mathscinet  zmath  isi (cited: 7)  scopus (cited: 6)
87. Igor V. Komarov, Andrey V. Tsiganov, “On Classical $r$-Matrix for the Kowalevski Gyrostat on $\mathrm{so}(4)$”, SIGMA, 2 (2006), 12–9  mathnet  crossref  mathscinet  zmath  isi  scopus
88. A. V. Tsiganov, “Bi-Hamiltonian systems of natural form”, Theoret. and Math. Phys., 149:2 (2006), 1437–1456  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 2)  elib  scopus (cited: 2)

   2007
89. A. V. Tsiganov, “On classification of the compatible Lie–Poisson brackets on the manifold $e^*(3)$”, J. Math. Sci. (N. Y.), 143:1 (2007), 2831–2839  mathnet  crossref  mathscinet  zmath  scopus

   2006
90. A. V. Tsiganov, “Towards a classification of natural integrable systems”, Regular and Chaotic Dynamics, 11:3 (2006), 343–362  mathnet (cited: 1)  crossref  mathscinet  zmath  adsnasa  isi (cited: 4)  scopus (cited: 4)
91. A. V. Tsiganov, “A note on elliptic coordinates on the Lie algebra e(3)”, Journal of Physics A: Mathematical and General, 39:38 (2006), L01, L571–L574  crossref  mathscinet  zmath  adsnasa  isi (cited: 1)  scopus (cited: 1)

   2005
92. Yu. A. Grigoryev, A. V. Tsiganov, “Computing of the separated variables for the Hamilton–Jacobi equation”, Nelin. Dinam., 1:2 (2005), 163–179  mathnet  mathscinet  elib
93. Yu. A. Grigoryev, A. V. Tsiganov, “Symbolic software for separation of variables in the Hamilton-Jacobi equation for the L-systems”, Regular and Chaotic Dynamics, 10:4 (2005), 413–422  mathnet (cited: 8)  crossref  mathscinet  zmath  adsnasa  isi (cited: 19)  scopus (cited: 19)
94. A. V. Tsyganov, “A family of integrable systems on the sphere with a cubic additional integral of motion”, Doklady Akademii Nauk, 402:4 (2005), 457–459  mathnet (cited: 1)  mathscinet  zmath
95. A. V. Tsyganov, “On isomorphism of the Steklov-Lyapunov system with the potential motion on the sphere”, Doklady Akademii Nauk, 400:4 (2005), 463–466  mathnet  mathscinet
96. A. V. Tsiganov, “On a family of integrable systems on a sphere possessing a cubic integral of motion”, Doklady Mathematics, 71:3 (2005), 413–415  isi (cited: 1)  elib (cited: 1)
97. A. V. Tsiganov, “A new integrable system on S2 with the second integral quartic in the momenta”, Journal of Physics A: Mathematical and General, 38:16 (2005), 3547–3553  crossref  mathscinet  zmath  adsnasa  isi (cited: 6)  scopus (cited: 6)
98. I. V. Komarov, A. V. Tsiganov, “On a trajectory isomorphism of the Kowalevski gyrostat and the Clebsch problem”, Journal of Physics A: Mathematical and General, 38:13 (2005), 2917–2927  crossref  mathscinet  zmath  adsnasa  isi (cited: 3)  scopus (cited: 2)
99. A. V. Tsiganov, “On a family of integrable systems on S2with a cubic integral of motion”, Journal of Physics A: Mathematical and General, 38:4 (2005), 921–927  crossref  mathscinet  zmath  adsnasa  isi (cited: 10)  scopus (cited: 9)
100. A. V. Tsiganov, “Isomorphism of the Steklov-Lyapunov system and a potential flow on the surface of a sphere”, Doklady Mathematics, 71:1 (2005), 145–147  isi (cited: 1)  elib (cited: 2)

   2004
101. A. V. Tsiganov, “Integrable Deformations of Tops Related to the Algebra $so(p,q)$”, Theoret. and Math. Phys., 141:1 (2004), 1348–1360  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 3)  scopus (cited: 2)
102. A. V. Tsiganov, “Toda Chains in the Jacobi Method”, Theoret. and Math. Phys., 139:2 (2004), 636–653  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 6)  elib (cited: 4)  scopus (cited: 6)

   2006
103. A. V. Tsiganov, “On isomorphism of integrable cases of the Euler equations on the bi-hamiltonian manifolds $e(3)$ and $so(4)$”, J. Math. Sci. (N. Y.), 136:1 (2006), 3641–3647  mathnet  crossref  mathscinet  zmath  elib  scopus (cited: 2)

   2004
104. I. V. Komarov, A. V. Tsiganov, “On integration of the Kowalevski gyrostat and the Clebsch problems”, Regular and Chaotic Dynamics, 9:2 (2004), 169–187  mathnet (cited: 2)  crossref  mathscinet  zmath  adsnasa  isi (cited: 5)  scopus (cited: 5)
105. A. V. Tsiganov, “On the Steklov-Lyapunov case of the rigid body motion”, Regular and Chaotic Dynamics, 9:2 (2004), 77–89  mathnet (cited: 9)  crossref  mathscinet  zmath  adsnasa  isi (cited: 8)  scopus (cited: 8)
106. A. V. Tsiganov, O. V. Goremykin, “Integrable systems on so(4) related to XXX spin chains with boundaries”, Journal of Physics A: Mathematical and General, 37:17 (2004), 4843–4849  crossref  mathscinet  zmath  adsnasa  isi (cited: 11)  scopus (cited: 9)

   2003
107. A. V. Tsiganov, “Separation of Variables in the Kovalevskaya–Goryachev–Chaplygin Gyrostat”, Theoret. and Math. Phys., 135:2 (2003), 651–658  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 1)  scopus (cited: 1)
108. A. L. Kostko, A. V. Tsiganov, “Noncanonical transformations of the spherical top”, Regular and Chaotic Dynamics, 8:2 (2003), 143–154  mathnet  crossref  mathscinet  zmath  adsnasa  isi (cited: 2)  scopus (cited: 2)
109. I. V. Komarov, V. V. Sokolov, A. V. Tsiganov, “Poisson maps and integrable deformations of the Kowalevski top”, Journal of Physics A: Mathematical and General, 36:29 (2003), 8035–8048  crossref  mathscinet  zmath  adsnasa  isi (cited: 24)  scopus (cited: 26)

   2002
110. V. V. Sokolov, A. V. Tsiganov, “Commutative Poisson Subalgebras for Sklyanin Brackets and Deformations of Some Known Integrable Models”, Theoret. and Math. Phys., 133:3 (2002), 1730–1743  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 15)  scopus (cited: 13)
111. V. V. Sokolov, A. V. Tsiganov, “Lax Pairs for the Deformed Kowalevski and Goryachev–Chaplygin Tops”, Theoret. and Math. Phys., 131:1 (2002), 543–549  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 26)  scopus (cited: 24)

   2005
112. A. V. Tsiganov, “A family of integrable systems on a sphere”, J. Math. Sci. (N. Y.), 125:2 (2005), 249–257  mathnet  crossref  mathscinet  zmath  scopus (cited: 1)

   2002
113. A. V. Tsiganov, “On integrable deformation of the Poincare system”, Regular and Chaotic Dynamics, 7:3 (2002), 331–336  mathnet (cited: 2)  crossref  mathscinet  zmath  adsnasa  scopus (cited: 7)
114. A. V. Tsiganov, “On the Kowalevski-Goryachev-Chaplygin gyrostat”, Journal of Physics A: Mathematical and General, 35:22 (2002), L309–L318  crossref  mathscinet  zmath  adsnasa  isi (cited: 11)  scopus (cited: 12)
115. A. V. Tsiganov, “Separation of variables for integrable systems on Poisson manifolds”, Physics of Atomic Nuclei, 65:6 (2002), 1128–1134  crossref  mathscinet  adsnasa  isi  scopus

   2001
116. A. V. Tsiganov, “Construction of Separation Variables for Finite-Dimensional Integrable Systems”, Theoret. and Math. Phys., 128:2 (2001), 1007–1024  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 1)  elib (cited: 1)  scopus (cited: 1)
117. A. V. Tsiganov, “On the invariant separated variables”, Regular and Chaotic Dynamics, 6:3 (2001), 307–326  mathnet (cited: 3)  crossref  mathscinet  zmath  adsnasa  scopus (cited: 10)
118. A. V. Tsiganov, “The Maupertuis Principle and Canonical Transformations of the Extended Phase Space”, Journal of Nonlinear Mathematical Physics, 8:1 (2001), 157–182  crossref  mathscinet  zmath  adsnasa  isi (cited: 25)  scopus (cited: 27)

   2000
119. A. V. Tsiganov, “Degenerate integrable systems on the plane with a cubic integral of motion”, Theoret. and Math. Phys., 124:3 (2000), 1217–1233  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 3)  scopus (cited: 3)
120. A. V. Tsiganov, “An integrable system related to the spherical top and the Toda chain”, Theoret. and Math. Phys., 124:2 (2000), 1121–1131  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 1)  scopus
121. A. V. Tsiganov, “Canonical transformations of the extended phase space and integrable systems”, Theoret. and Math. Phys., 124:1 (2000), 918–937  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 1)  scopus (cited: 1)

   2003
122. A. V. Tsiganov, “On the Maupertuis–Jacobi transformation and Toda chains”, J. Math. Sci. (N. Y.), 115:1 (2003), 2085–2091  mathnet  crossref  mathscinet  zmath

   2000
123. A. V. Tsiganov, “The Kepler canonical transformations of the extended phase space”, Regular and Chaotic Dynamics, 5:1 (2000), 117–127  mathnet  crossref  mathscinet  zmath  scopus (cited: 3)
124. A. V. Tsiganov, “The Drach superintegrable systems”, Journal of Physics A: Mathematical and General, 33:41 (2000), 7407–7422  crossref  mathscinet  zmath  adsnasa  isi (cited: 41)  scopus (cited: 42)
125. A. V. Tsiganov, “Properties of the canonical transformations of the time for the Toda lattice and the Henon-Heiles system”, Journal of Physics A: Mathematical and General, 33:26 (2000), 4825–4835  crossref  mathscinet  zmath  adsnasa  isi (cited: 3)  scopus (cited: 3)
126. A. V. Tsiganov, “Canonical transformations of the extended phase space, Toda lattices and the Stackel family of integrable systems”, Journal of Physics A: Mathematical and General, 33:22 (2000), 4169–4182  crossref  mathscinet  zmath  adsnasa  scopus (cited: 22)

   1999
127. A. V. Tsiganov, “Noncanonical time transformations relating finite-dimensional integrable systems”, Theoret. and Math. Phys., 120:1 (1999), 840–861  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 3)  elib (cited: 4)  scopus (cited: 3)
128. A. V. Tsiganov, “Outer automorphisms of $sl(2)$, integrable systems, and mappings”, Theoret. and Math. Phys., 118:2 (1999), 164–172  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 2)  elib (cited: 2)  scopus (cited: 2)
129. A. V. Tsiganov, “Lax representation for an integrable motion on the sphere with a qubic second invariant”, Regular and Chaotic Dynamics, 4:3 (1999), 21–29  mathnet (cited: 1)  crossref  mathscinet  zmath
130. A. V. Tsiganov, “On integrable deformations of the spherical top”, Journal of Physics A: Mathematical and General, 32:47 (1999), 8355–8363  crossref  mathscinet  zmath  adsnasa  isi (cited: 4)  scopus (cited: 4)
131. A. V. Tsiganov, “Duality between integrable Stackel systems”, Journal of Physics A: Mathematical and General, 32:45 (1999), 7965–7982  crossref  mathscinet  zmath  adsnasa  scopus (cited: 28)
132. A. V. Tsiganov, “The Lax pairs for the Holt system”, Journal of Physics A: Mathematical and General, 32:45 (1999), 7983–7987  crossref  mathscinet  zmath  adsnasa  isi (cited: 6)  scopus (cited: 6)
133. A. V. Tsiganov, “Automorphisms of sl(2) and classical integrable systems”, Physics Letters, Section A: General, Atomic and Solid State Physics, 251:6 (1999), 354–362  mathscinet  zmath  isi (cited: 3)
134. A. V. Tsiganov, “The Stackel systems and algebraic curves”, Journal of Mathematical Physics, 40:1 (1999), 279–298  crossref  mathscinet  zmath  adsnasa  scopus (cited: 23)

   1998
135. A. V. Tsiganov, “Homogeneous Stäckel-type systems”, Theoret. and Math. Phys., 115:1 (1998), 377–395  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 5)  elib (cited: 7)  scopus (cited: 5)

   2001
136. A. V. Tsiganov, “Classical integrable systems amd automorphisms of representations of $SL(2)$”, J. Math. Sci. (New York), 104:3 (2001), 1247–1254  mathnet  crossref  mathscinet  zmath  scopus

   1998
137. A. V. Tsiganov, “Dynamical boundary conditions for integrable lattices”, Journal of Physics A: Mathematical and General, 31:39 (1998), 8049–8061  crossref  mathscinet  zmath  adsnasa  isi (cited: 6)  scopus (cited: 6)
138. A. V. Tsiganov, “Superintegrable Systems in the Classical r-Matrix Method”, Physics of Atomic Nuclei, 61:10 (1998), 1797–1802  mathscinet  adsnasa  isi
139. A. V. Tsiganov, “Superintegrable systems on the loop algebras”, Journal of Physics A: Mathematical and General, 31:8 (1998), 2075–2092  crossref  mathscinet  zmath  adsnasa  isi (cited: 2)  scopus (cited: 2)
140. A. V. Tsiganov, “Automorphisms of sl(2) and dynamical r-matrices”, Journal of Mathematical Physics, 39:1 (1998), 650–664  crossref  mathscinet  zmath  adsnasa  isi (cited: 7)  scopus (cited: 8)

   1997
141. A. V. Tsiganov, “Superintegrable systems and classical $r$-matrix method”, Theoret. and Math. Phys., 112:3 (1997), 1140–1156  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  scopus (cited: 1)
142. A. V. Tsiganov, “Dynamical r-matrices associated to sl(2) and separation of variables”, International Journal of Modern Physics A, 12:1 (1997), 283–288  crossref  mathscinet  zmath  adsnasa  isi
143. A. V. Tsiganov, “The Kowalewski top: A new Lax representation”, Journal of Mathematical Physics, 38:1 (1997), 196–211  crossref  mathscinet  zmath  adsnasa  isi (cited: 13)  scopus (cited: 13)

   1996
144. S. Rauch-Wojciechowski, A. V. Tsiganov, “Quasi-point separation of variables for the Henon-Heiles system and a system with a quartic potential”, Journal of Physics A: Mathematical and General, 29:23 (1996), 7769–7778  crossref  mathscinet  zmath  adsnasa  isi (cited: 21)  scopus (cited: 25)
145. V. B. Kuznetsov, A. V. Tsyganov, “Quantum relativistic Toda lattice”, J. Math. Sci., 80:3 (1996), 1802–1810  mathnet  crossref  mathscinet  zmath  scopus (cited: 7)
146. A. V. Tsiganov, “The Kowalewski top in SUSY quantum mechanics”, Physics Letters, Section A: General, Atomic and Solid State Physics, 223:1-2 (1996), 63–65  mathscinet  zmath  isi
147. P. P. Kulish, S. Rauch-Wojciechowski, A. V. Tsiganov, “Stationary problems for equation of the KdV type and dynamical r-matrices”, Journal of Mathematical Physics, 37:7 (1996), 3463–3482  crossref  mathscinet  zmath  adsnasa  isi (cited: 17)  scopus (cited: 22)

   1994
148. A. V. Tsiganov, “Additive deformations of the r-matrix algebras”, Journal of Physics A: Mathematical and General, 27:20 (1994), 015, 6759–6780  crossref  mathscinet  zmath  adsnasa  isi (cited: 8)  scopus (cited: 8)
149. J. C. Eilbeck, Enol'skii, V. Z. , V. B. Kuznetsov, A. V. Tsiganov, “Linear r-matrix algebra for classical separable systems”, Journal of Physics A: Mathematical and General, 27:2 (1994), 038, 567–578  crossref  mathscinet  zmath  adsnasa  isi (cited: 72)  scopus (cited: 70)

   1992
150. V. B. Kuznetsov, A. V. Tsiganov, “Infinite series of Lie algebras and boundary conditions for integrable systems”, J. Soviet Math., 59:5 (1992), 1085–1092  mathnet  crossref  mathscinet  zmath  scopus (cited: 12)

   1989
151. V. B. Kuznetsov, A. V. Tsiganov, “A special case of Neumann's system and the Kowalewski-Chaplygin-Goryachev top”, Journal of Physics A: Mathematical and General, 22:3 (1989), 003, L73–L79  crossref  mathscinet  zmath  adsnasa  isi (cited: 36)  scopus (cited: 38)

Presentations in Math-Net.Ru
1. Майнинг новых интегрируемых и суперинтегрируемых систем
A. V. Tsiganov
Differential geometry and applications
April 5, 2021 16:45
2. Разделение переменных для гамильтоновых и не гамильтоновых систем
A. V. Tsiganov
International School of Young Mechanics and Mathematicians "Modern nonlinear dynamics"
November 8, 2019 13:30   
3. Разделение переменных для не гамильтоновых интегрируемых систем
A. V. Tsiganov
Differential geometry and applications
September 30, 2019 16:45
4. Интегрируемые системы в методе Якоби
A. V. Tsiganov
Differential geometry and applications
November 12, 2018 16:45

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