A.V.Tsiganov, “The Drach superintegrable systems”, Journal of Physics A: Mathematical and General, 33:41 (2000), 7407-7422
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
A. V. Borisov, I. S. Mamaev, A. V. Tsyganov, “Negolonomnaya dinamika i puassonova geometriya”, UMN, 69:3 (2014), 87-144
A.V. Tsiganov, “The Kepler Problem: Polynomial Algebra of Nonpolynomial First Integrals”, Regul. Chaotic Dyn.,, 24:4 (2019), 353-369
A. V. Borisov, A. V. Tsyganov, “O dvizhenii negolonomnogo shara Chaplygina v magnitnom pole, zadache Grioli i effekte Barneta–Londona”, Doklady RAN. Fiz. tekhn. nauki, 491:1 (2020), 30-33
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
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
A. V. Tsiganov, “The Maupertuis Principle and Canonical Transformations of the Extended Phase Space”, Journal of Nonlinear Mathematical Physics, 8:1 (2001), 157–182
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
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
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
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
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
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
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
A. V. Tsiganov, “On bi-integrable natural hamiltonian systems on Riemannian manifolds”, Journal of Nonlinear Mathematical Physics, 18:2 (2011), 245–268
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
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
24.
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
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
30.
Andrey V. Tsiganov, “Bäcklund Transformations for the Nonholonomic Veselova System”, Regul. Chaotic Dyn., 22:2 (2017), 163–179
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
V. B. Kuznetsov, A. V. Tsyganov, “Quantum relativistic Toda lattice”, J. Math. Sci., 80:3 (1996), 1802–1810
43.
A. P. Sozonov, A. V. Tsiganov, “Bäcklund transformations relating different Hamilton–Jacobi equations”, Theoret. and Math. Phys., 183:3 (2015), 768–781
44.
A. V. Tsiganov, “On natural Poisson bivectors on the sphere”, Journal of Physics A: Mathematical and Theoretical, 44:10 (2011), 105203
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
A. V. Tsiganov, “Superintegrable systems with algebraic and rational integrals of motion”, Theoret. and Math. Phys., 199:2 (2019), 659–674
56.
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
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
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
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;
A. V. Tsiganov, “On the Poisson structures for the Chaplygin ball and its generalizations”, Nelin. Dinam., 8:2 (2012), 345–353
79.
Ivan A. Bizyaev, Andrey V. Tsiganov, “On the Routh sphere”, Nelin. Dinam., 8:3 (2012), 569–583
80.
Yu. A. Grigoryev, V. A. Khudobakhshov, A. V. Tsiganov, “On Euler superintegrable systems”, Journal of Physics A: Mathematical and Theoretical, 42:7 (2009), 075202
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
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
A. V. Tsiganov, “Integrable Deformations of Tops Related to the Algebra $so(p,q)$”, Theoret. and Math. Phys., 141:1 (2004), 1348–1360
84.
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
85.
A. V. Tsiganov, “Separation of Variables in the Kovalevskaya–Goryachev–Chaplygin Gyrostat”, Theoret. and Math. Phys., 135:2 (2003), 651–658
86.
A. V. Tsiganov, “An integrable system related to the spherical top and the Toda chain”, Theoret. and Math. Phys., 124:2 (2000), 1121–1131
87.
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
A. V. Tsiganov, “On Killing tensors in three-dimensional Euclidean space”, Theoret. and Math. Phys., 212:1 (2022), 1019–1032
89.
A. V. Borisov, A. V. Tsiganov, E. A. Mikishanina, “On inhomogeneous nonholonomic Bilimovich system”, Commun. Nonlinear Sci. Numer. Simul., 94 (2021), 105573 , 11 pp. ;
A. V. Tsiganov, “Abel's theorem and Bäcklund transformations for the Hamilton–Jacobi equations”, Proc. Steklov Inst. Math., 295 (2016), 243–273
92.
Yury A. Grigoryev, Alexey P. Sozonov, Andrey V. Tsiganov, “Integrability of Nonholonomic Heisenberg Type Systems”, SIGMA, 12 (2016), 112 , 14 pp., arXiv: 1603.03528
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
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
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
102.
Alexander V. Vershilov, Yury A. Grigoryev, Andrey V. Tsiganov, “On an integrable deformation of the Kowalevski top”, Nelin. Dinam., 10:2 (2014), 223–236
103.
A. V. Tsiganov, “On the Chaplygin Problem of the Rolling of a Ball”, Math. Notes, 94:4 (2013), 599–602
104.
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
105.
A. V. Tsiganov, “Bi-Hamiltonian systems of natural form”, Theoret. and Math. Phys., 149:2 (2006), 1437–1456
106.
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
A. V. Tsiganov, “Canonical transformations of the extended phase space and integrable systems”, Theoret. and Math. Phys., 124:1 (2000), 918–937
108.
A. V. Tsiganov, “Outer automorphisms of $sl(2)$, integrable systems, and mappings”, Theoret. and Math. Phys., 118:2 (1999), 164–172
109.
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
A. V. Tsiganov, E. O. Porubov, “On a class of quadratic conservation laws for Newton equations in Euclidean space”, Theoret. and Math. Phys., 216:2 (2023), 1209–1237
112.
Andrey V. Tsiganov, “Equivalent Integrable Metrics on the Sphere with Quartic Invariants”, SIGMA, 18 (2022), 94 , 19 pp., arXiv: 2201.09576;
E. O. Porubov, A. V. Tsiganov, “On Two-Dimensional Hamiltonian Systems with Sixth-Order Integrals of Motion”, Communications in Nonlinear Science and Numerical Simulation, 110 (2022), 106404
Andrey V. Tsiganov, “Separation of variables for some generalization of the Chaplygin system on a sphere”, Nelin. Dinam., 11:1 (2015), 179–185
117.
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
118.
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
119.
Andrey V. Tsiganov, “On the absolute dynamics of the Chaplygin ball”, Nelin. Dinam., 9:4 (2013), 711–719
120.
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
121.
Andrey V. Tsiganov, “On the nonholonomic Veselova and Chaplygin systems”, Nelin. Dinam., 8:3 (2012), 541–547
122.
A. V. Tsiganov, “New variables of separation for particular case of the Kowalewski top”, Nelin. Dinam., 6:3 (2010), 639–652
123.
Igor V. Komarov, Andrey V. Tsiganov, “On Classical $r$-Matrix for the Kowalevski Gyrostat on $\mathrm{so}(4)$”, SIGMA, 2 (2006), 12–9
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
A. V. Tsiganov, “A family of integrable systems on a sphere”, J. Math. Sci. (N. Y.), 125:2 (2005), 249–257
127.
A. V. Tsiganov, “Construction of Separation Variables for Finite-Dimensional Integrable Systems”, Theoret. and Math. Phys., 128:2 (2001), 1007–1024
128.
A. V. Tsiganov, “Superintegrable systems and classical $r$-matrix method”, Theoret. and Math. Phys., 112:3 (1997), 1140–1156
129.
A. V. Tsiganov, “On rotation invariant integrable systems”, Izv. Math., 88:2 (2024), 389–410
130.
Andrey V. Tsiganov, “Reduction of Divisors and the Clebsch System”, Regul. Chaotic Dyn., 27:3 (2022), 307–319;
131.
A. V. Tsiganov, “On integrable systems outside Nijenhuis and Haantjes geometry”, Journal of Geometry and Physics, 178 (2022), 104571
132.
A. V. Borisov, A. V. Tsiganov, “Chaplygin ball in a solenoidal field”, Russian Math. Surveys, 76:3 (2021), 546–548
133.
A. V. Borisov, A. V. Tsiganov, “The Motion of a Nonholonomic Chaplygin Sphere in a Magnetic Field, the Grioli Problem, and the Barnett-London Effect”, Dokl. Phys., 65:3 (2020), 90–93
134.
A. V. Tsiganov, “On the Mishchenko–Fomenko hypothesis for a generalized oscillator and Kepler system”, Chebyshevskii Sb., 21:2 (2020), 383–402
135.
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
136.
A. V. Tsiganov, “Duffing Oscillator and Elliptic Curve Cryptography”, Nelineinaya dinam., 14:2 (2018), 235–241
137.
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
138.
V. A. Khudobakhshov, A. V. Tsiganov, “Integrable systems on the sphere associated with genus three algebraic curves”, Nelin. Dinam., 7:1 (2011), 53–74
139.
Yu. A. Grigor'ev, A. V. Tsiganov, “On the Abel equations and the Richelot integrals”, Nelin. Dinam., 5:4 (2009), 463–478
140.
A. V. Tsiganov, “On the bi-Hamiltonian structure of the Goryachev system on the sphere”, Doklady Mathematics, 79:3 (2009), 430–433
141.
A. V. Tsyganov, “Addition theorems and superintegrable systems”, Doklady Mathematics, 78:2 (2008), 759–762
142.
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
143.
A. V. Vershilov, A. V. Tsiganov, “On the Darboux–Nijenhuis variables on the Poisson manifold $so^*(4)$”, Nelin. Dinam., 3:2 (2007), 141–155
144.
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
145.
A. V. Tsiganov, “On elliptic coordinates on the Lie algebra $e(3)$”, Nelin. Dinam., 2:3 (2006), 347–352
146.
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
147.
Yu. A. Grigoryev, A. V. Tsiganov, “Computing of the separated variables for the Hamilton–Jacobi equation”, Nelin. Dinam., 1:2 (2005), 163–179
148.
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
149.
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
150.
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
151.
A. V. Tsiganov, “Separation of variables for integrable systems on Poisson manifolds”, Physics of Atomic Nuclei, 65:6 (2002), 1128–1134
152.
A. V. Tsiganov, “On the Maupertuis–Jacobi transformation and Toda chains”, J. Math. Sci. (N. Y.), 115:1 (2003), 2085–2091
153.
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
154.
A. V. Tsiganov, “Classical integrable systems amd automorphisms of representations of $SL(2)$”, J. Math. Sci. (New York), 104:3 (2001), 1247–1254
155.
A. V. Tsiganov, “Superintegrable Systems in the Classical r-Matrix Method”, Physics of Atomic Nuclei, 61:10 (1998), 1797–1802
156.
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
157.
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
158.
Andrey V. Tsiganov, “Integrable Systems on a Sphere, an Ellipsoid and a Hyperboloid”, Regul. Chaotic Dyn., 28:6 (2023), 805–821;
159.
A. V. Tsiganov, “Comments on P. E. Ryabov “Explicit integration and topology of D. N. Goryachev case””, Nelin. Dinam., 7:3 (2011), 715–717
160.
A. V. Borisov, A. V. Tsiganov, Nelin. Dinam., 7:1 (2011), 177–187