All Stories

  1. Novikov equations for commuting differential operators of orders 3,4,5
  2. On computation of Darboux polynomials for full Toda lattice
  3. On Tensor Invariants of the Clebsch System
  4. О тензорных инвариантах для интегрируемых случаев движения твердого тела Эйлера, Лагранжа и Ковалевской
  5. Experimental study of tensor invariants of Hamiltonian systems
  6. Rotations and Integrability
  7. Об инвариантных относительно вращений интегрируемых системах
  8. Second order Killing tensors related to symmetric spaces
  9. On a class of quadratic conservation laws for Newton equations in Euclidean space
  10. Equivalent Integrable Metrics on the Sphere with Quartic Invariants
  11. Reducible Abelian varieties and Lax matrices for Euler’s problem of two fixed centres
  12. On integrable systems outside Nijenhuis and Haantjes geometry
  13. О тензорах Киллинга в трехмерном eвклидовом пространстве
  14. Reduction of Divisors and the Clebsch System
  15. On two-dimensional Hamiltonian systems with sixth-order integrals of motion
  16. On inhomogeneous nonholonomic Bilimovich system
  17. О шаре Чаплыгина в соленоидальном поле
  18. On the Bilimovich System with inhomogeneous non-stationary nonholonomic relation
  19. Reduction of divisors for classical superintegrable GL(3) magnetic chain
  20. Discretization and superintegrability all rolled into one
  21. On a Time-Dependent Nonholonomic Oscillator
  22. О гипотезе Мищенко — Фоменко для обобщённого осциллятора и системы Кеплера
  23. The Motion of a Nonholonomic Chaplygin Sphere in a Magnetic Field, the Grioli Problem, and the Barnett–London Effect
  24. Superintegrable systems and Riemann-Roch theorem
  25. On the Nonholonomic Routh Sphere in a Magnetic Field
  26. Influence of Bartnett-London and Einstein-de Haas effects on the motion of the nonholonomic sphere of Routh
  27. On the Chaplygin Sphere in a Magnetic Field
  28. The Kepler Problem: Polynomial Algebra of Nonpolynomial First Integrals
  29. Superintegrable Systems with Algebraic and Rational Integrals of Motion
  30. Elliptic curve arithmetic and superintegrable systems
  31. О суперинтегрируемых системax c алгебраическими и рациональными интегралами движения
  32. Transformation of the Stäckel matrices preserving superintegrability
  33. Hamiltonization and Separation of Variables for a Chaplygin Ball on a Rotating Plane
  34. Discretization of Hamiltonian Systems and Intersection Theory
  35. On Discretization of the Euler Top
  36. On superintegrable systems separable in Cartesian coordinates
  37. On exact discretization of cubic-quintic Duffing oscillator
  38. Bäcklund transformations and divisor doubling
  39. Bäcklund Transformations and New Integrable Systems on the Plane
  40. Duffing Oscillator and Elliptic Curve Cryptography
  41. Bäcklund transformations for the Jacobi system on an ellipsoid
  42. Integrable discretization and deformation of the nonholonomic Chaplygin ball
  43. New bi-Hamiltonian systems on the plane
  44. Bäcklund transformations for the nonholonomic Veselova system
  45. On an integrable system on a plane with an integral of motion of sixth order in momenta
  46. Integrability of Nonholonomic Heisenberg Type Systems
  47. Abel’s theorem and Bäcklund transformations for the Hamilton-Jacobi equations
  48. On a family of Bäcklund transformations
  49. Two integrable systems with integrals of motion of degree four
  50. On an integrable system on the plane with velocity-dependent potential
  51. On auto and hetero Bäcklund transformations for the Hénon–Heiles systems
  52. On Integrable Perturbations of Some Nonholonomic Systems
  53. Killing tensors with nonvanishing Haantjes torsion and integrable systems
  54. Bäcklund transformations relating different Hamilton-Jacobi equations
  55. On the Chaplygin system on the sphere with velocity dependent potential
  56. On bi-Hamiltonian formulation of the perturbed Kepler problem
  57. О преобразованиях Беклунда, связывающих различные уравнения Гамильтона - Якоби
  58. Simultaneous separation for the Neumann and Chaplygin systems
  59. Poisson structures for two nonholonomic systems with partially reduced symmetries
  60. Non-holonomic dynamics and Poisson geometry
  61. On the Lie integrability theorem for the Chaplygin ball
  62. On the nonlinear Poisson bracket arising in nonholonomic mechanics
  63. Separation of variables for some systems with a fourth-order integral of motion
  64. On the chaplygin problem of the rolling of a ball
  65. ON GENERALIZED NONHOLONOMIC CHAPLYGIN SPHERE PROBLEM
  66. On a Trivial Family of Noncommutative Integrable Systems
  67. On the Routh sphere problem
  68. One family of conformally Hamiltonian systems
  69. On the Poisson structures for the nonholonomic Chaplygin and Veselova problems
  70. Superintegrable Stäckel Systems on the Plane: Elliptic and Parabolic Coordinates
  71. On One Integrable System With a Cubic First Integral
  72. New Variables of Separation for the Steklov-Lyapunov System
  73. One invariant measure and different poisson brackets for two non-holonomic systems
  74. Об одном семействе конформно-гамильтоновых систем
  75. Integrable Euler top and nonholonomic Chaplygin ball
  76. On algebraic construction of certain integrable and super-integrable systems
  77. Integrable systems on the sphere associated with genus three algebraic curves
  78. Separation of variables for the generalized Henon–Heiles system and system with quartic potential
  79. On natural Poisson bivectors on the sphere
  80. ON BI-INTEGRABLE NATURAL HAMILTONIAN SYSTEMS ON RIEMANNIAN MANIFOLDS
  81. New variables of separation for particular case of the Kowalevski top
  82. On the generalized Chaplygin system
  83. On the superintegrable Richelot systems
  84. 10.1007/s11819-008-1005-1
  85. Change of the time for the periodic Toda lattices and natural systems on the plane with higher order integrals of motion
  86. Leonard Euler: Addition theorems and superintegrable systems
  87. On the bi-Hamiltonian structure of the Goryachev system on the sphere
  88. On bi-Hamiltonian geometry of some integrable systems on the sphere with cubic integral of motion
  89. On Euler superintegrable systems
  90. New lax pair for restricted multiple three wave interaction system, quasiperiodic solutions and bi-Hamiltonian structure
  91. Addition theorems and superintegrable systems
  92. Addition theorems and the Drach superintegrable systems
  93. On bi-Hamiltonian geometry of the Lagrange top
  94. On maximally superintegrable systems
  95. The Poisson bracket compatible with the classical reflection equation algebra
  96. On bi-hamiltonian structure of some integrable systems on so* (4)
  97. Separation of variables for a pair of integrable systems on so*(4)
  98. Darboux-Nijenhuis variables for open generalized Toda chains
  99. On two different bi-Hamiltonian structures for the Toda lattice
  100. Classification of compatible Lie-Poisson brackets on the manifold e*(3)
  101. A family of the Poisson brackets compatible with the Sklyanin bracket
  102. Compatible Lie-Poisson brackets on the Lie algebras e(3) and so(4)
  103. On classical r matrix for the Kowalevski gyrostat on so(4)
  104. On the Darboux-Nijenhuis Variables for the Open Toda Lattice
  105. Bi-Hamiltonian systems of natural form
  106. A note on elliptic coordinates on the Lie algebrae(3)
  107. Isomorphism of integrable cases of the Euler equations on the bi-Hamiltonian manifolds e(3) and so(4)
  108. A new integrable system onS2with the second integral quartic in the momenta
  109. On a family of integrable systems on S2 with a cubic integral of motion
  110. A Family of Integrable Systems on a Sphere
  111. Toda Chains in the Jacobi Method
  112. Integrable systems onso(4) related toXXXspin chains with boundaries
  113. Poisson maps and integrable deformations of the Kowalevski top
  114. Separation of variables for integrable systems on Poisson manifolds
  115. The Maupertuis Principle and Canonical Transformations of the Extended Phase Space
  116. Degenerate integrable systems on the plane with a cubic integral of motion
  117. An integrable system related to the spherical top and the Toda chain
  118. Properties of the canonical transformations of the time for the Toda lattice and the Henon-Heiles system
  119. On integrable deformations of the spherical top
  120. Automorphisms of sl(2) and classical integrable systems
  121. Dynamical boundary conditions for integrable lattices
  122. Automorphisms of sl(2) and dynamical r-matrices
  123. The classicalr-matrix method and superintegrable systems
  124. Quantum relativistic Toda chains
  125. Linear r-matrix algebra for classical separable systems
  126. Infinite series of Lie algebras and boundary conditions for integrable systems