New bi-Hamiltonian systems on the plane

DOI10.1063/1.4989534zbMath1456.37059arXiv1701.05716OpenAlexW2581550391MaRDI QIDQ5282857

Andreĭ Vladimirovich Tsyganov

Publication date: 17 July 2017

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.05716

zbMATH Keywords

Poisson bracketsrecursion operatorJacobi methodvariables of separation

Mathematics Subject Classification ID

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)

On two-dimensional Hamiltonian systems with sixth-order integrals of motion ⋮ On exact discretization of cubic-quintic Duffing oscillator ⋮ Superintegrable models on Riemannian surfaces of revolution with integrals of any integer degree. I ⋮ Integrable discretization and deformation of the nonholonomic Chaplygin ball ⋮ Bäcklund transformations and divisor doubling ⋮ Transformation of the Stäckel matrices preserving superintegrability ⋮ Discretization and superintegrability all rolled into one ⋮ Reduction of divisors for classical superintegrable GL(3) magnetic chain ⋮ On discretization of the Euler top ⋮ Discretization of Hamiltonian systems and intersection theory ⋮ Duffing Oscillator and Elliptic Curve Cryptography ⋮ Equivalent integrable metrics on the sphere with quartic invariants

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