Integrable discretizations of the Euler top

DOI10.1063/1.532648zbMath0944.70009arXivsolv-int/9803016OpenAlexW3105133543MaRDI QIDQ4701590

B. Lorbeer, Alexander Ivanovich Bobenko, Yuri Borisovich Suris

Publication date: 21 November 1999

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

Full work available at URL: https://arxiv.org/abs/solv-int/9803016

zbMATH Keywords

elliptic functionsintegrals of motionEuler topcontinuous time systeminvariant Poisson bracketPoisson discretizationVeselov-Moser discretization

Mathematics Subject Classification ID

Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Integrable cases of motion in rigid body dynamics (70E40)

Related Items

On exact discretization of cubic-quintic Duffing oscillator, Quantum Bäcklund transformations: some ideas and examples, Discrete geodesic flows on Stiefel manifolds, Ermakov-Pinney and Emden-Fowler equations: new solutions from novel Bäcklund transformations, A few things I learnt from Jürgen Moser, On discretization of the Euler top, Integrability of the discretization of the controlled Euler top, On the Hamiltonian structure of Hirota-Kimura discretization of the Euler top, Discretization of Hamiltonian systems and intersection theory, Bäcklund transformations for finite-dimensional integrable systems: a geometric approach., Higher dimensional integrable mappings

Cites Work

• Linearizing integral transform for the multicomponent lattice KP
• Integrable discrete-time systems and difference operators
• Linear integral equations and nonlinear difference-difference equations
• Discrete versions of some classical integrable systems and factorization of matrix polynomials
• On the Solution of a Class of Nonlinear Partial Difference Equations