Remarks on integrable systems
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Publication:2513959
DOI10.1134/S1560354714020014zbMath1382.34002MaRDI QIDQ2513959
Publication date: 29 January 2015
Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)
symmetriesHamiltonian equationsadjoint systemintegrability by quadraturesLie theoremEuler-Jacobi theorem
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Related Items (5)
The phenomenon of reversal in the Euler-Poincaré-Suslov nonholonomic systems ⋮ The dynamics of systems with servoconstraints. II ⋮ Note on free symmetric rigid body motion ⋮ On the problem of separation of variables in systems of ordinary differential equations ⋮ Hamiltonization of elementary nonholonomic systems
Cites Work
- The Euler-Jacobi-Lie integrability theorem
- Multiparticle systems. The algebra of integrals and integrable cases
- Superintegrable system on a sphere with the integral of higher degree
- On the problem of motion of vortex sources on a plane
- Generalized Liouville method of integration of Hamiltonian systems
- Dynamics and statics of vortices on a plane and a sphere. I
- Dynamical systems X. General theory of vortices. Transl. from the Russian by A. V. Ovchinnikov
- An extended Hamilton-Jacobi method
- Superintegrable systems on a sphere
- Remarks on a Lie theorem on the integrability of differential equations in closed form
- Lie algebras in vortex dynamics and celestial mechanics. IV.
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