scientific article; zbMATH DE number 7372718

zbMath1480.53099MaRDI QIDQ5001454

Rezvaneh Ayoubi, Ghorbanali Haghighatdoost

Publication date: 19 July 2021

Full work available at URL: https://www.heldermann.de/JLT/JLT31/JLT312/jlt31027.htm

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zbMATH Keywords

Hamilton-Jacobi equationLie algebroidsLie groupoidsHamiltonian system

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17) Hamilton-Jacobi equations in mechanics (70H20) Topological groupoids (including differentiable and Lie groupoids) (22A22) Pseudogroups and differentiable groupoids (58H05) Nearly integrable Hamiltonian systems, KAM theory (70H08) Groupoids, semigroupoids, semigroups, groups (viewed as categories) (18B40)

Cites Work

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• Dynamical systems on the orbits of linear representations of Lie groups and the complete integrability of certain hydrodynamical systems
• Coadjoint orbits of Lie groupoids
• The Lie group of vertical bisections of a regular Lie groupoid
• Hamilton-Jacobi theorems for regular reducible Hamiltonian systems on a cotangent bundle
• GEOMETRIC QUANTIZATION OF HAMILTONIAN ACTIONS OF LIE ALGEBROIDS AND LIE GROUPOIDS
• Lagrangian submanifolds and dynamics on Lie algebroids
• A SURVEY OF LAGRANGIAN MECHANICS AND CONTROL ON LIE ALGEBROIDS AND GROUPOIDS

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