All Stories

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