On the extendability of Noether's integrals for orbifolds of constant negative curvature

DOI10.1134/S1560354716070054zbMath1367.53038MaRDI QIDQ2361650

Valery V. Kozlov

Publication date: 30 June 2017

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

zbMATH Keywords

orbifoldFuchsian groupLobachevsky planeNoether integrals

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Geodesics in global differential geometry (53C22) Geodesic flows in symplectic geometry and contact geometry (53D25) Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10)

Related Items (1)

On reversibility in systems with a non-compact configuration space and non-negative potential energy

Cites Work

• Bifurcation of solutions and the nonexistence of first integrals in Hamiltonian mechanics. I
• On rational integrals of geodesic flows
• First integrals of systems with elastic reflections
• Rational integrals of quasi-homogeneous dynamical systems
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