Tsiganov, A. V.; Porubov, E. O. On a class of quadratic conservation laws for Newton equations in Euclidean space. (English. Russian original) Zbl 1521.37075 Theor. Math. Phys. 216, No. 2, 1209-1237 (2023); translation from Teor. Mat. Fiz. 216, No. 2, 350-382 (2023). MSC: 37K10 37K25 37J35 37J39 70H06 70G45 53C35 PDFBibTeX XMLCite \textit{A. V. Tsiganov} and \textit{E. O. Porubov}, Theor. Math. Phys. 216, No. 2, 1209--1237 (2023; Zbl 1521.37075); translation from Teor. Mat. Fiz. 216, No. 2, 350--382 (2023) Full Text: DOI
Porubov, E. O.; Tsiganov, A. V. Second order Killing tensors related to symmetric spaces. (English) Zbl 1526.37074 J. Geom. Phys. 191, Article ID 104911, 23 p. (2023). Reviewer: Ahmed Lesfari (El Jadida) MSC: 37J35 37J39 53B20 53C35 53C30 53Z05 PDFBibTeX XMLCite \textit{E. O. Porubov} and \textit{A. V. Tsiganov}, J. Geom. Phys. 191, Article ID 104911, 23 p. (2023; Zbl 1526.37074) Full Text: DOI arXiv
Tsiganov, Andrey V. Equivalent integrable metrics on the sphere with quartic invariants. (English) Zbl 1514.37077 SIGMA, Symmetry Integrability Geom. Methods Appl. 18, Paper 094, 19 p. (2022). Reviewer: Cristian Lăzureanu (Timişoara) MSC: 37J35 37J11 37J39 53D22 70H06 70H45 PDFBibTeX XMLCite \textit{A. V. Tsiganov}, SIGMA, Symmetry Integrability Geom. Methods Appl. 18, Paper 094, 19 p. (2022; Zbl 1514.37077) Full Text: DOI arXiv
Tsiganov, A. V. Reducible abelian varieties and Lax matrices for Euler’s problem of two fixed centres. (English) Zbl 1498.14092 Nonlinearity 35, No. 10, 5357-5372 (2022). Reviewer: Ahmed Lesfari (El Jadida) MSC: 14H52 37J35 70F07 70G55 PDFBibTeX XMLCite \textit{A. V. Tsiganov}, Nonlinearity 35, No. 10, 5357--5372 (2022; Zbl 1498.14092) Full Text: DOI arXiv
Tsiganov, A. V. On Killing tensors in three-dimensional Euclidean space. (English. Russian original) Zbl 1516.37068 Theor. Math. Phys. 212, No. 1, 1019-1032 (2022); translation from Teor. Mat. Fiz. 212, No. 1, 149-164 (2022). MSC: 37J39 35F21 70H20 70G45 PDFBibTeX XMLCite \textit{A. V. Tsiganov}, Theor. Math. Phys. 212, No. 1, 1019--1032 (2022; Zbl 1516.37068); translation from Teor. Mat. Fiz. 212, No. 1, 149--164 (2022) Full Text: DOI
Tsiganov, Andrey V. Reduction of divisors and the Clebsch system. (English) Zbl 1490.37081 Regul. Chaotic Dyn. 27, No. 3, 307-319 (2022). MSC: 37J35 70E15 14H70 14D06 58K10 58K50 70E05 PDFBibTeX XMLCite \textit{A. V. Tsiganov}, Regul. Chaotic Dyn. 27, No. 3, 307--319 (2022; Zbl 1490.37081) Full Text: DOI arXiv
Tsiganov, A. V. On integrable systems outside Nijenhuis and Haantjes geometry. (English) Zbl 1507.37082 J. Geom. Phys. 178, Article ID 104571, 12 p. (2022). Reviewer: Anatoliy K. Prykarpatsky (Kraków) MSC: 37J39 37J06 37J35 70G45 PDFBibTeX XMLCite \textit{A. V. Tsiganov}, J. Geom. Phys. 178, Article ID 104571, 12 p. (2022; Zbl 1507.37082) Full Text: DOI arXiv
Porubov, E. O.; Tsiganov, A. V. On two-dimensional Hamiltonian systems with sixth-order integrals of motion. (English) Zbl 07526716 Commun. Nonlinear Sci. Numer. Simul. 110, Article ID 106404, 13 p. (2022). MSC: 37J35 70H06 PDFBibTeX XMLCite \textit{E. O. Porubov} and \textit{A. V. Tsiganov}, Commun. Nonlinear Sci. Numer. Simul. 110, Article ID 106404, 13 p. (2022; Zbl 07526716) Full Text: DOI arXiv
Borisov, A. V.; Tsiganov, A. V. Chaplygin ball in a solenoidal field. (English. Russian original) Zbl 1480.37073 Russ. Math. Surv. 76, No. 3, 546-548 (2021); translation from Usp. Mat. Nauk 76, No. 3, 185-186 (2021). MSC: 37J60 37J39 PDFBibTeX XMLCite \textit{A. V. Borisov} and \textit{A. V. Tsiganov}, Russ. Math. Surv. 76, No. 3, 546--548 (2021; Zbl 1480.37073); translation from Usp. Mat. Nauk 76, No. 3, 185--186 (2021) Full Text: DOI
Borisov, A. V.; Tsiganov, A. V.; Mikishanina, E. A. On inhomogeneous nonholonomic Bilimovich system. (English) Zbl 1455.37053 Commun. Nonlinear Sci. Numer. Simul. 94, Article ID 105573, 12 p. (2021). MSC: 37J60 70F25 70E40 PDFBibTeX XMLCite \textit{A. V. Borisov} et al., Commun. Nonlinear Sci. Numer. Simul. 94, Article ID 105573, 12 p. (2021; Zbl 1455.37053) Full Text: DOI arXiv
Borisov, A. V.; Tsiganov, A. V. On rheonomic nonholonomic deformations of the Euler equations proposed by Bilimovich. (English) Zbl 1474.37074 Theor. Appl. Mech. (Belgrade) 47, No. 2, 155-168 (2020). MSC: 37J60 70F25 PDFBibTeX XMLCite \textit{A. V. Borisov} and \textit{A. V. Tsiganov}, Theor. Appl. Mech. (Belgrade) 47, No. 2, 155--168 (2020; Zbl 1474.37074) Full Text: DOI arXiv
Tsiganov, Andreĭ Vladimirovich On the Mishchenko-Fomenko hypothesis for a generalized oscillator and Kepler system. (Russian. English summary) Zbl 1462.37069 Chebyshevskiĭ Sb. 21, No. 2(74), 383-402 (2020). MSC: 37J38 37J35 70F05 PDFBibTeX XMLCite \textit{A. V. Tsiganov}, Chebyshevskiĭ Sb. 21, No. 2(74), 383--402 (2020; Zbl 1462.37069) Full Text: MNR
Tsiganov, A. V. Reduction of divisors for classical superintegrable \(\mathrm{GL}(3)\) magnetic chain. (English) Zbl 1455.14070 J. Math. Phys. 61, No. 11, 112703, 11 p. (2020). MSC: 14H70 14H40 37J38 70H06 PDFBibTeX XMLCite \textit{A. V. Tsiganov}, J. Math. Phys. 61, No. 11, 112703, 11 p. (2020; Zbl 1455.14070) Full Text: DOI arXiv
Tsiganov, A. V. Discretization and superintegrability all rolled into one. (English) Zbl 1445.14054 Nonlinearity 33, No. 9, 4924-4939 (2020). Reviewer: Ahmed Lesfari (El Jadida) MSC: 14H70 37J35 70H06 PDFBibTeX XMLCite \textit{A. V. Tsiganov}, Nonlinearity 33, No. 9, 4924--4939 (2020; Zbl 1445.14054) Full Text: DOI arXiv
Tsiganov, A. V. On a time-dependent nonholonomic oscillator. (English) Zbl 1448.37076 Russ. J. Math. Phys. 27, No. 3, 399-409 (2020). MSC: 37J60 34C15 PDFBibTeX XMLCite \textit{A. V. Tsiganov}, Russ. J. Math. Phys. 27, No. 3, 399--409 (2020; Zbl 1448.37076) Full Text: DOI
Borisov, Alexey V.; Tsiganov, Andrey V. On the nonholonomic Routh sphere in a magnetic field. (English) Zbl 1441.37069 Regul. Chaotic Dyn. 25, No. 1, 18-32 (2020). MSC: 37J60 70F25 74F15 PDFBibTeX XMLCite \textit{A. V. Borisov} and \textit{A. V. Tsiganov}, Regul. Chaotic Dyn. 25, No. 1, 18--32 (2020; Zbl 1441.37069) Full Text: DOI
Tsiganov, A. V. Superintegrable systems and Riemann-Roch theorem. (English) Zbl 1437.37070 J. Math. Phys. 61, No. 1, 012701, 14 p. (2020). MSC: 37J38 37J39 14C40 PDFBibTeX XMLCite \textit{A. V. Tsiganov}, J. Math. Phys. 61, No. 1, 012701, 14 p. (2020; Zbl 1437.37070) Full Text: DOI arXiv
Borisov, Alekseĭ Vladimirovich; Tsyganov, Andreĭ Vladimirovich Influence of Bartnett-London and Einstein-de Haas effects on the motion of the nonholonomic sphere of Routh. (Russian. English summary) Zbl 1479.37067 Vestn. Udmurt. Univ., Mat. Mekh. Komp’yut. Nauki 29, No. 4, 583-598 (2019). MSC: 37J60 70F25 74F15 PDFBibTeX XMLCite \textit{A. V. Borisov} and \textit{A. V. Tsyganov}, Vestn. Udmurt. Univ., Mat. Mekh. Komp'yut. Nauki 29, No. 4, 583--598 (2019; Zbl 1479.37067) Full Text: DOI MNR
Borisov, Alexey V.; Tsiganov, Andrey V. On the Chaplygin sphere in a magnetic field. (English) Zbl 1435.37093 Regul. Chaotic Dyn. 24, No. 6, 739-754 (2019). MSC: 37J60 70F25 74F15 PDFBibTeX XMLCite \textit{A. V. Borisov} and \textit{A. V. Tsiganov}, Regul. Chaotic Dyn. 24, No. 6, 739--754 (2019; Zbl 1435.37093) Full Text: DOI arXiv
Tsiganov, Andrey V. The Kepler problem: polynomial algebra of nonpolynomial first integrals. (English) Zbl 1459.70041 Regul. Chaotic Dyn. 24, No. 4, 353-369 (2019). MSC: 70H12 33E05 37E99 PDFBibTeX XMLCite \textit{A. V. Tsiganov}, Regul. Chaotic Dyn. 24, No. 4, 353--369 (2019; Zbl 1459.70041) Full Text: DOI arXiv
Tsiganov, Andreĭ V. Superintegrable systems with algebraic and rational integrals of motion. (English. Russian original) Zbl 1429.70008 Theor. Math. Phys. 199, No. 2, 659-674 (2019); translation from Teor. Mat. Fiz. 199, No. 2, 218-234 (2019). MSC: 70F07 37J35 PDFBibTeX XMLCite \textit{A. V. Tsiganov}, Theor. Math. Phys. 199, No. 2, 659--674 (2019; Zbl 1429.70008); translation from Teor. Mat. Fiz. 199, No. 2, 218--234 (2019) Full Text: DOI
Tsiganov, Andrey V. Hamiltonization and separation of variables for a Chaplygin ball on a rotating plane. (English) Zbl 1433.37065 Regul. Chaotic Dyn. 24, No. 2, 171-186 (2019). MSC: 37J60 37J35 70E18 53D17 70F25 PDFBibTeX XMLCite \textit{A. V. Tsiganov}, Regul. Chaotic Dyn. 24, No. 2, 171--186 (2019; Zbl 1433.37065) Full Text: DOI arXiv
Tsiganov, A. V. Bäcklund transformations and new integrable systems on the plane. (English) Zbl 1428.37056 Buchstaber, Victor M. (ed.) et al., Recent developments in integrable systems and related topics of mathematical physics. Kezenoi-Am, Russia, 2016. Cham: Springer. Springer Proc. Math. Stat. 273, 47-74 (2018). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37J38 37J35 14H70 PDFBibTeX XMLCite \textit{A. V. Tsiganov}, Springer Proc. Math. Stat. 273, 47--74 (2018; Zbl 1428.37056) Full Text: DOI
Tsiganov, Andreĭ V. Duffing oscillator and elliptic curve cryptography. (English) Zbl 1418.37097 Russ. J. Nonlinear Dyn. 14, No. 2, 235-241 (2018). MSC: 37J35 70H06 14H70 94A60 PDFBibTeX XMLCite \textit{A. V. Tsiganov}, Russ. J. Nonlinear Dyn. 14, No. 2, 235--241 (2018; Zbl 1418.37097) Full Text: DOI arXiv MNR
Tsiganov, Andrey V. On discretization of the Euler top. (English) Zbl 1412.37060 Regul. Chaotic Dyn. 23, No. 6, 785-796 (2018). MSC: 37J35 70H06 65L12 PDFBibTeX XMLCite \textit{A. V. Tsiganov}, Regul. Chaotic Dyn. 23, No. 6, 785--796 (2018; Zbl 1412.37060) Full Text: DOI arXiv
Grigoriev, Yu. A.; Tsiganov, A. V. On superintegrable systems separable in Cartesian coordinates. (English) Zbl 1404.37069 Phys. Lett., A 382, No. 32, 2092-2096 (2018). MSC: 37J35 37K10 PDFBibTeX XMLCite \textit{Yu. A. Grigoriev} and \textit{A. V. Tsiganov}, Phys. Lett., A 382, No. 32, 2092--2096 (2018; Zbl 1404.37069) Full Text: DOI arXiv
Tsiganov, A. V. On exact discretization of cubic-quintic Duffing oscillator. (English) Zbl 1396.37064 J. Math. Phys. 59, No. 7, 072703, 15 p. (2018). Reviewer: Eszter Gselmann (Debrecen) MSC: 37J35 37J05 70K30 70H05 39A12 39A21 PDFBibTeX XMLCite \textit{A. V. Tsiganov}, J. Math. Phys. 59, No. 7, 072703, 15 p. (2018; Zbl 1396.37064) Full Text: DOI arXiv
Tsiganov, A. V. Bäcklund transformations and divisor doubling. (English) Zbl 1385.37074 J. Geom. Phys. 126, 148-158 (2018). MSC: 37J35 14H70 70E40 70H15 PDFBibTeX XMLCite \textit{A. V. Tsiganov}, J. Geom. Phys. 126, 148--158 (2018; Zbl 1385.37074) Full Text: DOI arXiv
Tsiganov, Andrey V. Integrable discretization and deformation of the nonholonomic Chaplygin ball. (English) Zbl 1383.37054 Regul. Chaotic Dyn. 22, No. 4, 353-367 (2017). MSC: 37J60 37J35 70H33 14H70 70F25 PDFBibTeX XMLCite \textit{A. V. Tsiganov}, Regul. Chaotic Dyn. 22, No. 4, 353--367 (2017; Zbl 1383.37054) Full Text: DOI arXiv
Tsiganov, Andrey V. Bäcklund transformations for the Jacobi system on an ellipsoid. (English. Russian original) Zbl 1386.37057 Theor. Math. Phys. 192, No. 3, 1350-1364 (2017); translation from Teor. Mat. Fiz. 192, No. 3, 473-488 (2017). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37J35 37J10 37D40 PDFBibTeX XMLCite \textit{A. V. Tsiganov}, Theor. Math. Phys. 192, No. 3, 1350--1364 (2017; Zbl 1386.37057); translation from Teor. Mat. Fiz. 192, No. 3, 473--488 (2017) Full Text: DOI
Tsiganov, Andrey V.; Sozonov, Alexey P. On auto and hetero Bäcklund transformations for the Hénon-Heiles systems. (English) Zbl 1377.37101 Mladenov, Ivaïlo M. (ed.) et al., Proceedings of the 18th international conference on geometry, integrability and quantization, Sts. Constantine and Elena (near Varna), Bulgaria, June 3–8, 2016. Sofia: Avangard Prima. Geometry, Integrability and Quantization, 241-251 (2017). MSC: 37K10 58J72 70H06 PDFBibTeX XMLCite \textit{A. V. Tsiganov} and \textit{A. P. Sozonov}, in: Proceedings of the 18th international conference on geometry, integrability and quantization, Sts. Constantine and Elena (near Varna), Bulgaria, June 3--8, 2016. Sofia: Avangard Prima. 241--251 (2017; Zbl 1377.37101) Full Text: DOI arXiv
Tsiganov, Andrey V. Bäcklund transformations for the nonholonomic Veselova system. (English) Zbl 1375.37157 Regul. Chaotic Dyn. 22, No. 2, 163-179 (2017). Reviewer: Cristian Lăzureanu (Timisoara) MSC: 37J60 70H33 37J35 37K20 PDFBibTeX XMLCite \textit{A. V. Tsiganov}, Regul. Chaotic Dyn. 22, No. 2, 163--179 (2017; Zbl 1375.37157) Full Text: DOI arXiv
Tsiganov, A. V. New bi-Hamiltonian systems on the plane. (English) Zbl 1456.37059 J. Math. Phys. 58, No. 6, 062901, 14 p. (2017). MSC: 37J35 70H06 70H20 PDFBibTeX XMLCite \textit{A. V. Tsiganov}, J. Math. Phys. 58, No. 6, 062901, 14 p. (2017; Zbl 1456.37059) Full Text: DOI arXiv
Tsyganov, Andreĭ Vladimirovich On an integrable system on a plane with an integral of motion of sixth order in momenta. (English) Zbl 1368.37067 Nelineĭn. Din. 13, No. 1, 117-128 (2017). MSC: 37J35 53D22 70H06 37J10 PDFBibTeX XMLCite \textit{A. V. Tsyganov}, Nelineĭn. Din. 13, No. 1, 117--128 (2017; Zbl 1368.37067) Full Text: MNR
Grigor’ev, Yuriĭ Aleksandrovich; Sozonov, Alekseĭ Petrovich; Tsyganov, Andreĭ Vladimirovich On an integrable system on the plane with velocity-dependent potential. (Russian. English summary) Zbl 1376.37107 Nelineĭn. Din. 12, No. 3, 355-368 (2016). MSC: 37J35 53D22 70H06 PDFBibTeX XMLCite \textit{Y. A. Grigor'ev} et al., Nelineĭn. Din. 12, No. 3, 355--368 (2016; Zbl 1376.37107) Full Text: MNR
Tsiganov, Andrey V. Abel’s theorem and Bäcklund transformations for the Hamilton-Jacobi equations. (English. Russian original) Zbl 1377.37087 Proc. Steklov Inst. Math. 295, 243-273 (2016); translation from Tr. Mat. Inst. Steklova 295, 261-291 (2016). Reviewer: Nenad Manojlović (Faro) MSC: 37J35 35F21 14H70 70E40 70H20 PDFBibTeX XMLCite \textit{A. V. Tsiganov}, Proc. Steklov Inst. Math. 295, 243--273 (2016; Zbl 1377.37087); translation from Tr. Mat. Inst. Steklova 295, 261--291 (2016) Full Text: DOI
Grigoryev, Yury A.; Sozonov, Alexey P.; Tsiganov, Andrey V. Integrability of nonholonomic Heisenberg type systems. (English) Zbl 1353.37128 SIGMA, Symmetry Integrability Geom. Methods Appl. 12, Paper 112, 14 p. (2016). MSC: 37J60 70G45 70H45 PDFBibTeX XMLCite \textit{Y. A. Grigoryev} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 12, Paper 112, 14 p. (2016; Zbl 1353.37128) Full Text: DOI arXiv
Tsiganov, Andrey V. On a family of Bäcklund transformations. (English. Russian original) Zbl 1351.37228 Dokl. Math. 93, No. 3, 292-294 (2016); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 468, No. 4, 380-382 (2016). MSC: 37J35 37J10 PDFBibTeX XMLCite \textit{A. V. Tsiganov}, Dokl. Math. 93, No. 3, 292--294 (2016; Zbl 1351.37228); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 468, No. 4, 380--382 (2016) Full Text: DOI
Tsiganov, Andrey V. Two integrable systems with integrals of motion of degree four. (English. Russian original) Zbl 1377.70038 Theor. Math. Phys. 186, No. 3, 383-394 (2016); translation from Teor. Mat. Fiz. 186, No. 3, 443-455 (2016). MSC: 70H20 70H06 37J35 53B21 PDFBibTeX XMLCite \textit{A. V. Tsiganov}, Theor. Math. Phys. 186, No. 3, 383--394 (2016; Zbl 1377.70038); translation from Teor. Mat. Fiz. 186, No. 3, 443--455 (2016) Full Text: DOI
Tsiganov, A. V. On auto and hetero Bäcklund transformations for the Hénon-Heiles systems. (English) Zbl 1349.37072 Phys. Lett., A 379, No. 45-46, 2903-2907 (2015). MSC: 37K35 35A22 PDFBibTeX XMLCite \textit{A. V. Tsiganov}, Phys. Lett., A 379, No. 45--46, 2903--2907 (2015; Zbl 1349.37072) Full Text: DOI
Tsiganov, Andrey V. On integrable perturbations of some nonholonomic systems. (English) Zbl 1360.37158 SIGMA, Symmetry Integrability Geom. Methods Appl. 11, Paper 085, 19 p. (2015). MSC: 37J60 70G45 70H45 37J35 PDFBibTeX XMLCite \textit{A. V. Tsiganov}, SIGMA, Symmetry Integrability Geom. Methods Appl. 11, Paper 085, 19 p. (2015; Zbl 1360.37158) Full Text: DOI arXiv EMIS
Tsiganov, Andrey V. Separation of variables for some generalization of the Chaplygin system on a sphere. (Russian. English summary) Zbl 1322.37034 Nelineĭn. Din. 11, No. 1, 179-185 (2015). MSC: 37K35 53D22 70H06 PDFBibTeX XMLCite \textit{A. V. Tsiganov}, Nelineĭn. Din. 11, No. 1, 179--185 (2015; Zbl 1322.37034) Full Text: DOI MNR
Sozonov, A. P.; Tsiganov, A. V. Bäcklund transformations relating different Hamilton-Jacobi equations. (English. Russian original) Zbl 1321.37072 Theor. Math. Phys. 183, No. 3, 768-781 (2015); translation from Teor. Mat. Fiz. 183, No. 3, 372-387 (2015). MSC: 37K35 70H20 PDFBibTeX XMLCite \textit{A. P. Sozonov} and \textit{A. V. Tsiganov}, Theor. Math. Phys. 183, No. 3, 768--781 (2015; Zbl 1321.37072); translation from Teor. Mat. Fiz. 183, No. 3, 372--387 (2015) Full Text: DOI
Tsiganov, Andrey Simultaneous separation for the Neumann and Chaplygin systems. (English) Zbl 1325.37052 Regul. Chaotic Dyn. 20, No. 1, 74-93 (2015). Reviewer: Božidar Jovanović (Beograd) MSC: 37K35 53D22 70H06 PDFBibTeX XMLCite \textit{A. Tsiganov}, Regul. Chaotic Dyn. 20, No. 1, 74--93 (2015; Zbl 1325.37052) Full Text: DOI arXiv
Tsiganov, A. V. On the Chaplygin system on the sphere with velocity dependent potential. (English) Zbl 1346.37052 J. Geom. Phys. 92, 94-99 (2015). MSC: 37J35 70E40 PDFBibTeX XMLCite \textit{A. V. Tsiganov}, J. Geom. Phys. 92, 94--99 (2015; Zbl 1346.37052) Full Text: DOI
Grigoryev, Yu. A.; Tsiganov, A. V. On bi-Hamiltonian formulation of the perturbed Kepler problem. (English) Zbl 1318.37018 J. Phys. A, Math. Theor. 48, No. 17, Article ID 175206, 7 p. (2015). Reviewer: William J. Satzer jun. (St. Paul) MSC: 37K10 37N05 70F05 70H09 PDFBibTeX XMLCite \textit{Yu. A. Grigoryev} and \textit{A. V. Tsiganov}, J. Phys. A, Math. Theor. 48, No. 17, Article ID 175206, 7 p. (2015; Zbl 1318.37018) Full Text: DOI arXiv
Borisov, A. V.; Mamaev, I. S.; Tsyganov, A. V. On the nonlinear Poisson bracket arising in nonholonomic mechanics. (English. Russian original) Zbl 1348.70039 Math. Notes 95, No. 3, 308-315 (2014); translation from Mat. Zametki 95, No. 3, 340-351 (2014). MSC: 70G45 37J60 70E18 PDFBibTeX XMLCite \textit{A. V. Borisov} et al., Math. Notes 95, No. 3, 308--315 (2014; Zbl 1348.70039); translation from Mat. Zametki 95, No. 3, 340--351 (2014) Full Text: DOI
Vershilov, Aleksander V.; Grigor’ev, Yuriĭ A.; Tsyganov, Andrey V. On an integrable deformation of the Kowalevski top. (Russian. English summary) Zbl 1348.70041 Nelineĭn. Din. 10, No. 2, 223-236 (2014). MSC: 70G45 70H20 37K10 PDFBibTeX XMLCite \textit{A. V. Vershilov} et al., Nelineĭn. Din. 10, No. 2, 223--236 (2014; Zbl 1348.70041) Full Text: DOI MNR
Tsiganov, Andrey Poisson structures for two nonholonomic systems with partially reduced symmetries. (English) Zbl 1305.70014 J. Geom. Mech. 6, No. 3, 417-440 (2014). MSC: 70E40 34D20 37J60 70F25 70G45 70K20 37J35 PDFBibTeX XMLCite \textit{A. Tsiganov}, J. Geom. Mech. 6, No. 3, 417--440 (2014; Zbl 1305.70014) Full Text: DOI arXiv
Tsiganov, Andrey V. On the Lie integrability theorem for the Chaplygin ball. (English) Zbl 1335.37046 Regul. Chaotic Dyn. 19, No. 2, 185-197 (2014). MSC: 37J60 37J35 70E18 53D17 PDFBibTeX XMLCite \textit{A. V. Tsiganov}, Regul. Chaotic Dyn. 19, No. 2, 185--197 (2014; Zbl 1335.37046) Full Text: DOI arXiv
Tsiganov, Andrey V. On a trivial family of noncommutative integrable systems. (English) Zbl 1279.37039 SIGMA, Symmetry Integrability Geom. Methods Appl. 9, Paper 015, 13 p. (2013). Reviewer: William J. Satzer jun. (St. Paul) MSC: 37J35 53D17 70H06 PDFBibTeX XMLCite \textit{A. V. Tsiganov}, SIGMA, Symmetry Integrability Geom. Methods Appl. 9, Paper 015, 13 p. (2013; Zbl 1279.37039) Full Text: DOI arXiv
Bizyaev, I. A.; Tsiganov, A. V. On the Routh sphere problem. (English) Zbl 1311.70015 J. Phys. A, Math. Theor. 46, No. 8, Article ID 085202, 11 p. (2013). Reviewer: Nenad Manojlović (Faro) MSC: 70E40 37J35 PDFBibTeX XMLCite \textit{I. A. Bizyaev} and \textit{A. V. Tsiganov}, J. Phys. A, Math. Theor. 46, No. 8, Article ID 085202, 11 p. (2013; Zbl 1311.70015) Full Text: DOI arXiv
Vershilov, Alexander Vladimirovich; Tsiganov, Andrey Vladimirovich On one integrable system with a cubic first integral. (English) Zbl 1253.70022 Lett. Math. Phys. 101, No. 2, 143-156 (2012). MSC: 70H20 70H06 37K10 PDFBibTeX XMLCite \textit{A. V. Vershilov} and \textit{A. V. Tsiganov}, Lett. Math. Phys. 101, No. 2, 143--156 (2012; Zbl 1253.70022) Full Text: DOI arXiv
Tsiganov, Andrey V. One invariant measure and different Poisson brackets for two non-holonomic systems. (English) Zbl 1262.37030 Regul. Chaotic Dyn. 17, No. 1, 72-96 (2012). Reviewer: Werner M. Seiler (Kassel) MSC: 37J60 37J35 53D17 70E18 70F25 70H45 PDFBibTeX XMLCite \textit{A. V. Tsiganov}, Regul. Chaotic Dyn. 17, No. 1, 72--96 (2012; Zbl 1262.37030) Full Text: DOI arXiv
Tsiganov, Andrey V. On the Poisson structures for the nonholonomic Chaplygin and Veselova problems. (English) Zbl 1263.37074 Regul. Chaotic Dyn. 17, No. 5, 439-450 (2012). Reviewer: Božidar Jovanović (Beograd) MSC: 37J60 37J35 70H45 PDFBibTeX XMLCite \textit{A. V. Tsiganov}, Regul. Chaotic Dyn. 17, No. 5, 439--450 (2012; Zbl 1263.37074) Full Text: DOI
Tsiganov, Andrey V. Superintegrable Stäckel systems on the plane: elliptic and parabolic coordinates. (English) Zbl 1243.37052 SIGMA, Symmetry Integrability Geom. Methods Appl. 8, Paper 031, 9 p. (2012). MSC: 37J35 70H06 PDFBibTeX XMLCite \textit{A. V. Tsiganov}, SIGMA, Symmetry Integrability Geom. Methods Appl. 8, Paper 031, 9 p. (2012; Zbl 1243.37052) Full Text: DOI arXiv
Tsiganov, Andrey V. New variables of separation for the Steklov-Lyapunov system. (English) Zbl 1242.70033 SIGMA, Symmetry Integrability Geom. Methods Appl. 8, Paper 012, 14 p. (2012). MSC: 70H20 70H06 37K10 PDFBibTeX XMLCite \textit{A. V. Tsiganov}, SIGMA, Symmetry Integrability Geom. Methods Appl. 8, Paper 012, 14 p. (2012; Zbl 1242.70033) Full Text: DOI arXiv
Tsiganov, A. V. Simple non-Hamiltonian systems with an invariant measure. arXiv:1206.5061 Preprint, arXiv:1206.5061 [nlin.SI] (2012). MSC: 37J60 37J35 53D17 70E18 70F25 70H45 BibTeX Cite \textit{A. V. Tsiganov}, ``Simple non-Hamiltonian systems with an invariant measure'', Preprint, arXiv:1206.5061 [nlin.SI] (2012) Full Text: arXiv OA License
Tsiganov, Andrey V.; Khudobakhshov, Vitaly A. Integrable systems on the sphere associated with genus three algebraic curves. (English) Zbl 1252.70041 Regul. Chaotic Dyn. 16, No. 3-4, 396-414 (2011). MSC: 70H20 70H06 37K10 PDFBibTeX XMLCite \textit{A. V. Tsiganov} and \textit{V. A. Khudobakhshov}, Regul. Chaotic Dyn. 16, No. 3--4, 396--414 (2011; Zbl 1252.70041) Full Text: DOI arXiv
Tsiganov, Andrey Integrable Euler top and nonholonomic Chaplygin ball. (English) Zbl 1348.70014 J. Geom. Mech. 3, No. 3, 337-362 (2011). MSC: 70E40 70G45 34D20 37N05 PDFBibTeX XMLCite \textit{A. Tsiganov}, J. Geom. Mech. 3, No. 3, 337--362 (2011; Zbl 1348.70014) Full Text: DOI arXiv
Maciejewski, A. J.; Przybylska, M.; Tsiganov, A. V. On algebraic construction of certain integrable and super-integrable systems. (English) Zbl 1223.37086 Physica D 240, No. 18, 1426-1448 (2011). MSC: 37K10 37K25 37K30 PDFBibTeX XMLCite \textit{A. J. Maciejewski} et al., Physica D 240, No. 18, 1426--1448 (2011; Zbl 1223.37086) Full Text: DOI arXiv
Tsiganov, A. V. On bi-integrable natural Hamiltonian systems on Riemannian manifolds. (English) Zbl 1221.37113 J. Nonlinear Math. Phys. 18, No. 2, 245-268 (2011). MSC: 37J35 70H06 58J60 53D25 81S99 PDFBibTeX XMLCite \textit{A. V. Tsiganov}, J. Nonlinear Math. Phys. 18, No. 2, 245--268 (2011; Zbl 1221.37113) Full Text: DOI arXiv
Grigoryev, Yu A.; Tsiganov, A. V. Separation of variables for the generalized Henon-Heiles system and system with quartic potential. (English) Zbl 1293.37028 J. Phys. A, Math. Theor. 44, No. 25, Article ID 255202, 9 p. (2011). MSC: 37J35 37J05 70H08 PDFBibTeX XMLCite \textit{Y. A. Grigoryev} and \textit{A. V. Tsiganov}, J. Phys. A, Math. Theor. 44, No. 25, Article ID 255202, 9 p. (2011; Zbl 1293.37028) Full Text: DOI arXiv
Tsiganov, A. V. On natural Poisson bivectors on the sphere. (English) Zbl 1380.70043 J. Phys. A, Math. Theor. 44, No. 10, Article ID 105203, 21 p. (2011). MSC: 70H20 70H06 37J35 37J05 53D22 PDFBibTeX XMLCite \textit{A. V. Tsiganov}, J. Phys. A, Math. Theor. 44, No. 10, Article ID 105203, 21 p. (2011; Zbl 1380.70043) Full Text: DOI arXiv
Tsiganov, A. V. On the generalized Chaplygin system. (English) Zbl 1288.37016 J. Math. Sci., New York 168, No. 6, 901-911 (2010) and Zap. Nauchn. Semin. POMI 374 250-267 (2010). MSC: 37J35 37N10 70G55 70H06 PDFBibTeX XMLCite \textit{A. V. Tsiganov}, J. Math. Sci., New York 168, No. 6, 901--911 (2010; Zbl 1288.37016) Full Text: DOI arXiv
Tsiganov, A. V. New variables of separation for particular case of the Kowalevski top. (English) Zbl 1258.70012 Regul. Chaotic Dyn. 15, No. 6, 659-669 (2010). MSC: 70E17 37J35 37N05 70H06 PDFBibTeX XMLCite \textit{A. V. Tsiganov}, Regul. Chaotic Dyn. 15, No. 6, 659--669 (2010; Zbl 1258.70012) Full Text: DOI arXiv
Tsiganov, A. V. On the superintegrable Richelot systems. (English) Zbl 1379.37108 J. Phys. A, Math. Theor. 43, No. 5, Article ID 055201, 14 p. (2010). MSC: 37J35 PDFBibTeX XMLCite \textit{A. V. Tsiganov}, J. Phys. A, Math. Theor. 43, No. 5, Article ID 055201, 14 p. (2010; Zbl 1379.37108) Full Text: DOI arXiv
Tsiganov, A. V. Change of the time for the periodic Toda lattices and natural systems on the plane with higher order integrals of motion. (English) Zbl 1229.70062 Regul. Chaotic Dyn. 14, No. 4-5, 541-549 (2009). MSC: 70H20 70H06 37K10 PDFBibTeX XMLCite \textit{A. V. Tsiganov}, Regul. Chaotic Dyn. 14, No. 4--5, 541--549 (2009; Zbl 1229.70062) Full Text: DOI
Tsiganov, A. V. Leonard Euler: addition theorems and superintegrable systems. (English) Zbl 1229.70055 Regul. Chaotic Dyn. 14, No. 3, 389-406 (2009). MSC: 70H06 70H20 37J35 PDFBibTeX XMLCite \textit{A. V. Tsiganov}, Regul. Chaotic Dyn. 14, No. 3, 389--406 (2009; Zbl 1229.70055) Full Text: DOI arXiv
Tsiganov, A. V. On the bi-Hamiltonian structure of the Goryachev system on the sphere. (English. Russian original) Zbl 1181.37102 Dokl. Math. 79, No. 3, 430-433 (2009); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 426, No. 6, 740-743 (2009). Reviewer: William J. Satzer jun. (St. Paul) MSC: 37K10 70H20 70H06 PDFBibTeX XMLCite \textit{A. V. Tsiganov}, Dokl. Math. 79, No. 3, 430--433 (2009; Zbl 1181.37102); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 426, No. 6, 740--743 (2009) Full Text: DOI
Kostov, N. A.; Tsiganov, A. V. New Lax pair for restricted multiple three wave interaction system, quasiperiodic solutions and bi-Hamiltonian structure. (English) Zbl 1229.37094 Regul. Chaotic Dyn. 13, No. 6, 593-601 (2008). MSC: 37K10 70E20 70K05 37N10 PDFBibTeX XMLCite \textit{N. A. Kostov} and \textit{A. V. Tsiganov}, Regul. Chaotic Dyn. 13, No. 6, 593--601 (2008; Zbl 1229.37094) Full Text: DOI arXiv
Tsiganov, A. V. The Poisson bracket compatible with the classical reflection equation algebra. (English) Zbl 1229.70061 Regul. Chaotic Dyn. 13, No. 3, 191-203 (2008). MSC: 70H20 70H06 37K10 PDFBibTeX XMLCite \textit{A. V. Tsiganov}, Regul. Chaotic Dyn. 13, No. 3, 191--203 (2008; Zbl 1229.70061) Full Text: DOI arXiv
Tsiganov, A. V. On maximally superintegrable systems. (English) Zbl 1229.37075 Regul. Chaotic Dyn. 13, No. 3, 178-190 (2008). MSC: 37J35 PDFBibTeX XMLCite \textit{A. V. Tsiganov}, Regul. Chaotic Dyn. 13, No. 3, 178--190 (2008; Zbl 1229.37075) Full Text: DOI arXiv
Kostko, A. L.; Tsiganov, A. V. On the bi-Hamiltonian structures for the Goryachev-Chaplygin top. (English) Zbl 1229.37072 Regul. Chaotic Dyn. 13, No. 1, 38-45 (2008). MSC: 37J35 37K10 70E17 70E40 PDFBibTeX XMLCite \textit{A. L. Kostko} and \textit{A. V. Tsiganov}, Regul. Chaotic Dyn. 13, No. 1, 38--45 (2008; Zbl 1229.37072)
Tsyganov, A. V. Addition theorems and superintegrable systems. (English. Russian original) Zbl 1223.37071 Dokl. Math. 78, No. 2, 759-762 (2008); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 422, No. 5, 605-607 (2008). MSC: 37J35 70H06 PDFBibTeX XMLCite \textit{A. V. Tsyganov}, Dokl. Math. 78, No. 2, 759--762 (2008; Zbl 1223.37071); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 422, No. 5, 605--607 (2008) Full Text: DOI
Tsiganov, A. V. On bi-Hamiltonian structure of some integrable systems. (English) Zbl 1167.37030 J. Nonlinear Math. Phys. 15, No. 2, 171-185 (2008). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 37J35 PDFBibTeX XMLCite \textit{A. V. Tsiganov}, J. Nonlinear Math. Phys. 15, No. 2, 171--185 (2008; Zbl 1167.37030) Full Text: DOI arXiv
Tsiganov, A. V. Separation of variables for a pair of integrable systems on \(\mathrm{so}^*(4)\). (English. Russian original) Zbl 1151.37054 Dokl. Math. 76, No. 3, 839-842 (2007); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 417, No. 2, 171-174 (2007). MSC: 37K10 70E40 70H06 PDFBibTeX XMLCite \textit{A. V. Tsiganov}, Dokl. Math. 76, No. 3, 839--842 (2007; Zbl 1151.37054); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 417, No. 2, 171--174 (2007) Full Text: DOI
Tsiganov, A. V. Darboux-Nijenhuis variables for open generalized Toda chains. (English. Russian original) Zbl 1128.37049 Theor. Math. Phys. 152, No. 3, 1243-1257 (2007); translation from Teor. Mat. Fiz. 152, No. 3, 440-456 (2007). MSC: 37K10 37K60 PDFBibTeX XMLCite \textit{A. V. Tsiganov}, Theor. Math. Phys. 152, No. 3, 1243--1257 (2007; Zbl 1128.37049); translation from Teor. Mat. Fiz. 152, No. 3, 440--456 (2007) Full Text: DOI
Tsyganov, A. V. Compatible Lie-Poisson brackets on the Lie algebras \(e(3)\) and \(so(4)\). (English. Russian original) Zbl 1127.37045 Theor. Math. Phys. 151, No. 1, 459-473 (2007); translation from Teor. Mat. Fiz. 151, No. 1, 26-43 (2007). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 37J35 37J05 53D17 70H06 PDFBibTeX XMLCite \textit{A. V. Tsyganov}, Theor. Math. Phys. 151, No. 1, 459--473 (2007; Zbl 1127.37045); translation from Teor. Mat. Fiz. 151, No. 1, 26--43 (2007) Full Text: DOI
Tsiganov, A. V. A family of the Poisson brackets compatible with the Sklyanin bracket. (English) Zbl 1115.37059 J. Phys. A, Math. Theor. 40, No. 18, 4803-4816 (2007). MSC: 37K10 81R50 82B23 PDFBibTeX XMLCite \textit{A. V. Tsiganov}, J. Phys. A, Math. Theor. 40, No. 18, 4803--4816 (2007; Zbl 1115.37059) Full Text: DOI arXiv
Tsiganov, A. V. On two different bi-Hamiltonian structures for the Toda lattice. (English) Zbl 1114.37040 J. Phys. A, Math. Theor. 40, No. 24, 6395-6406 (2007). MSC: 37K10 70H20 70H06 PDFBibTeX XMLCite \textit{A. V. Tsiganov}, J. Phys. A, Math. Theor. 40, No. 24, 6395--6406 (2007; Zbl 1114.37040) Full Text: DOI arXiv
Tsyganov, A. V. Bi-Hamiltonian systems of natural form. (English) Zbl 1177.37059 Theor. Math. Phys. 149, No. 2, 1437-1456 (2006); translation from Teor. Mat. Fiz. 149, No. 2, 161-182 (2006). MSC: 37J35 70G45 70H06 PDFBibTeX XMLCite \textit{A. V. Tsyganov}, Theor. Math. Phys. 149, No. 2, 1437--1456 (2006; Zbl 1177.37059); translation from Teor. Mat. Fiz. 149, No. 2, 161--182 (2006) Full Text: DOI
Tsiganov, A. V. Towards a classification of natural integrable systems. (English) Zbl 1164.37339 Regul. Chaotic Dyn. 11, No. 3, 343-362 (2006). MSC: 37J35 37K10 70G45 70H06 PDFBibTeX XMLCite \textit{A. V. Tsiganov}, Regul. Chaotic Dyn. 11, No. 3, 343--362 (2006; Zbl 1164.37339) Full Text: DOI arXiv
Grigoryev, Yuriy A.; Tsiganov, Andrey V. On the Darboux-Nijenhuis variables for the open Toda lattice. (English) Zbl 1188.37056 SIGMA, Symmetry Integrability Geom. Methods Appl. 2, Paper 097, 15 p. (2006). Reviewer: Messoud A. Efendiev (Berlin) MSC: 37K10 37K60 PDFBibTeX XMLCite \textit{Y. A. Grigoryev} and \textit{A. V. Tsiganov}, SIGMA, Symmetry Integrability Geom. Methods Appl. 2, Paper 097, 15 p. (2006; Zbl 1188.37056) Full Text: DOI arXiv EuDML EMIS
Tsyganov, A. V. On the classification of compatible Lie-Poisson brackets on the manifold \(e_\ast(3)\). (Russian, English) Zbl 1133.53056 Zap. Nauchn. Semin. POMI 335, 231-245 (2006); translation in J. Math. Sci., New York 143, No. 1, 2831-2839 (2007). Reviewer: Gueo Grantcharov (Miami) MSC: 53D17 37J05 37J35 PDFBibTeX XMLCite \textit{A. V. Tsyganov}, Zap. Nauchn. Semin. POMI 335, 231--245 (2006; Zbl 1133.53056); translation in J. Math. Sci., New York 143, No. 1, 2831--2839 (2007) Full Text: Link
Komarov, Igor V.; Tsiganov, Andrey V. On classical \(r\)-matrix for the Kowalevski gyrostat on \(\text{so}(4)\). (English) Zbl 1128.70004 SIGMA, Symmetry Integrability Geom. Methods Appl. 2, Paper 012, 9 p. (2006). MSC: 70E40 37J35 PDFBibTeX XMLCite \textit{I. V. Komarov} and \textit{A. V. Tsiganov}, SIGMA, Symmetry Integrability Geom. Methods Appl. 2, Paper 012, 9 p. (2006; Zbl 1128.70004) Full Text: DOI arXiv EuDML EMIS
Grigor’ev, Yu. A.; Tsiganov, A. V. Computing of the separated variables for the Hamilton-Jacobi equation. (Russian. English summary) Zbl 07803110 Nelineĭn. Din. 1, No. 2, 163-179 (2005). MSC: 37-XX PDFBibTeX XMLCite \textit{Yu. A. Grigor'ev} and \textit{A. V. Tsiganov}, Nelineĭn. Din. 1, No. 2, 163--179 (2005; Zbl 07803110) Full Text: MNR
Tsyganov, A. V. On a family of integrable systems on a sphere possessing a cubic integral of motion. (English. Russian original) Zbl 1272.37029 Dokl. Math. 71, No. 3, 413-415 (2005); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 402, No. 4, 457-459 (2005). MSC: 37J35 37D40 70E40 70H06 PDFBibTeX XMLCite \textit{A. V. Tsyganov}, Dokl. Math. 71, No. 3, 413--415 (2005; Zbl 1272.37029); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 402, No. 4, 457--459 (2005)
Grigor’ev, Yu. A.; Tsyganov, A. V. Symbolic software for separation of variables in the Hamilton-Jacobi equation for the \(L\)-systems. (English) Zbl 1133.37329 Regul. Chaotic Dyn. 10, No. 4, 413-422 (2005). MSC: 37J35 37K10 68W30 70H20 37-04 70-04 70H06 PDFBibTeX XMLCite \textit{Yu. A. Grigor'ev} and \textit{A. V. Tsyganov}, Regul. Chaotic Dyn. 10, No. 4, 413--422 (2005; Zbl 1133.37329) Full Text: DOI arXiv
Tsiganov, A. V. On a family of integrable systems on \(S^2\) with a cubic integral of motion. (English) Zbl 1076.37049 J. Phys. A, Math. Gen. 38, No. 4, 921-927 (2005). MSC: 37J35 70E40 70H06 PDFBibTeX XMLCite \textit{A. V. Tsiganov}, J. Phys. A, Math. Gen. 38, No. 4, 921--927 (2005; Zbl 1076.37049) Full Text: DOI arXiv
Tsiganov, A. V. Toda chains in the Jacobi method. (English) Zbl 1178.37061 Theor. Math. Phys. 139, No. 2, 636-653 (2004); translation from Teor. Mat. Fiz. 139, No. 2, 225-244 (2004). MSC: 37J35 70H06 PDFBibTeX XMLCite \textit{A. V. Tsiganov}, Theor. Math. Phys. 139, No. 2, 636--653 (2004; Zbl 1178.37061); translation from Teor. Mat. Fiz. 139, No. 2, 225--244 (2004) Full Text: DOI
Tsiganov, A. V. Integrable deformations of tops related to the algebra \(\mathrm{so}(p,q)\). (English) Zbl 1178.70070 Theor. Math. Phys. 141, No. 1, 1348-1360 (2004); translation from Teor. Mat. Fiz. 141, No. 1, 24-37 (2004). MSC: 70E40 37J35 70E45 PDFBibTeX XMLCite \textit{A. V. Tsiganov}, Theor. Math. Phys. 141, No. 1, 1348--1360 (2004; Zbl 1178.70070); translation from Teor. Mat. Fiz. 141, No. 1, 24--37 (2004) Full Text: DOI
Tsyganov, A. V. On isomorphism of integrable cases of the Euler equations on the bi-Hamiltonian manifolds \(e(3)\) and \(\text{so}(4)\). (Russian. English summary) Zbl 1136.37347 Zap. Nauchn. Semin. POMI 317, 200-212 (2004); translation in J. Math. Sci., New York 136, No. 1, 3641-3647 (2006). MSC: 37J35 70E40 70H06 PDFBibTeX XMLCite \textit{A. V. Tsyganov}, Zap. Nauchn. Semin. POMI 317, 200--212 (2004; Zbl 1136.37347); translation in J. Math. Sci., New York 136, No. 1, 3641--3647 (2006) Full Text: EuDML
Tsiganov, A. V.; Goremykin, O. V. Integrable systems on \(\text{}so\). (English) Zbl 1056.81036 J. Phys. A, Math. Gen. 37, No. 17, 4843-4849 (2004). MSC: 81R12 37J35 81R05 82B20 82B23 82D40 PDFBibTeX XMLCite \textit{A. V. Tsiganov} and \textit{O. V. Goremykin}, J. Phys. A, Math. Gen. 37, No. 17, 4843--4849 (2004; Zbl 1056.81036) Full Text: DOI arXiv
Komarov, I. V.; Sokolov, V. V.; Tsiganov, A. V. Poisson maps and integrable deformations of the Kowalevski top. (English) Zbl 1073.70005 J. Phys. A, Math. Gen. 36, No. 29, 8035-8048 (2003). MSC: 70E17 70E40 37N05 70G65 PDFBibTeX XMLCite \textit{I. V. Komarov} et al., J. Phys. A, Math. Gen. 36, No. 29, 8035--8048 (2003; Zbl 1073.70005) Full Text: DOI arXiv
Kostko, A. L.; Tsiganov, A. V. Noncanonical transformations of the spherical top. (English) Zbl 1112.70310 Regul. Chaotic Dyn. 8, No. 2, 143-154 (2003). MSC: 70E40 37J35 70E17 70H06 PDFBibTeX XMLCite \textit{A. L. Kostko} and \textit{A. V. Tsiganov}, Regul. Chaotic Dyn. 8, No. 2, 143--154 (2003; Zbl 1112.70310) Full Text: DOI
Sokolov, V. V.; Tsiganov, A. V. Commutative Poisson subalgebras for Sklyanin brackets and deformations of some known integrable models. (English. Russian original) Zbl 1067.37076 Theor. Math. Phys. 133, No. 3, 1730-1743 (2002); translation from Teor. Mat. Fiz. 133, No. 3, 485-500 (2002). MSC: 37J35 17B63 53D17 37J15 70H06 37K10 PDFBibTeX XMLCite \textit{V. V. Sokolov} and \textit{A. V. Tsiganov}, Theor. Math. Phys. 133, No. 3, 1730--1743 (2002; Zbl 1067.37076); translation from Teor. Mat. Fiz. 133, No. 3, 485--500 (2002) Full Text: DOI
Tsyganov, A. V. A particular family of integrable systems on a sphere. (English. Russian original) Zbl 1130.37029 J. Math. Sci., New York 125, No. 2, 249-257 (2005); translation from Zap. Nauchn. Semin. POMI 291, 263-277 (2002). MSC: 37J35 70H06 PDFBibTeX XMLCite \textit{A. V. Tsyganov}, J. Math. Sci., New York 125, No. 2, 249--257 (2002; Zbl 1130.37029); translation from Zap. Nauchn. Semin. POMI 291, 263--277 (2002) Full Text: DOI
Tsiganov, A. V. On integrable deformation of the Poincare system. (English) Zbl 1019.37037 Regul. Chaotic Dyn. 7, No. 3, 331-336 (2002). Reviewer: I.A.Taimanov (Novosibirsk) MSC: 37J35 PDFBibTeX XMLCite \textit{A. V. Tsiganov}, Regul. Chaotic Dyn. 7, No. 3, 331--336 (2002; Zbl 1019.37037) Full Text: DOI
Tsyganov, A. V. Construction of separation variables for finite-dimensional integrable systems. (English. Russian original) Zbl 1144.37443 Theor. Math. Phys. 128, No. 2, 1007-1024 (2001); translation from Teor. Mat. Fiz. 128, No. 2, 205-225 (2001). MSC: 37J35 70H06 70H20 PDFBibTeX XMLCite \textit{A. V. Tsyganov}, Theor. Math. Phys. 128, No. 2, 1007--1024 (2001; Zbl 1144.37443); translation from Teor. Mat. Fiz. 128, No. 2, 205--225 (2001) Full Text: DOI