Leonard Euler: addition theorems and superintegrable systems
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Publication:653232
DOI10.1134/S1560354709030034zbMath1229.70055arXiv0810.1100MaRDI QIDQ653232
Publication date: 9 January 2012
Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0810.1100
Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Hamilton-Jacobi equations in mechanics (70H20)
Related Items (12)
Addition theorems for \(\mathcal{C}^k\) real functions and applications in ordinary differential equations ⋮ On superintegrable systems separable in Cartesian coordinates ⋮ Projectively equivalent 2-dimensional superintegrable systems with projective symmetries ⋮ Unnamed Item ⋮ Transformation of the Stäckel matrices preserving superintegrability ⋮ Discretization and superintegrability all rolled into one ⋮ Superintegrable system on a sphere with the integral of higher degree ⋮ On algebraic construction of certain integrable and super-integrable systems ⋮ Superintegrable systems with algebraic and rational integrals of motion ⋮ The Kepler problem: polynomial algebra of nonpolynomial first integrals ⋮ Superintegrable systems and Riemann-Roch theorem ⋮ Three and four-body systems in one dimension: integrability, superintegrability and discrete symmetries
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- Global Action–Angle Variables for the Periodic Toda Lattice
- Superintegrable systems with third-order integrals of motion
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- Intrinsic characterization of the variable separation in the Hamilton–Jacobi equation
- The Stäckel systems and algebraic curves
- Addition formulas for hyperelliptic functions
- Duality between integrable Stäckel systems
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