Hamiltonian dynamics on matched pairs

DOI10.1142/S0219887816501280zbMath1378.70018arXiv1604.05130OpenAlexW3102816168MaRDI QIDQ3179756

Oğul Esen, Serkan Sütlü

Publication date: 20 December 2016

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.05130

zbMATH Keywords

reductionmatched pairsHamilton's equationsLie-Poisson equations

Mathematics Subject Classification ID

Related Items (11)

Lagrangian dynamics on matched pairs ⋮ Hamiltonian coupling of electromagnetic field and matter ⋮ Multiscale thermodynamics of charged mixtures ⋮ Bicocycle double cross constructions ⋮ On geometry of multiscale mass action law and its fluctuations ⋮ Discrete dynamical systems over double cross-product Lie groupoids ⋮ Tulczyjew’s triplet for lie groups III: Higher order dynamics and reductions for iterated bundles ⋮ Second order Lagrangian dynamics on double cross product groups ⋮ On Extensions, Lie-Poisson Systems, and Dissipations ⋮ Matched pair analysis of the Vlasov plasma ⋮ On Hamiltonian continuum mechanics

Cites Work

• Hamiltonian reduction by stages
• Double cross biproduct and bi-cycle bicrossproduct Lie bialgebras
• Poisson Lie groups, dressing transformations, and Bruhat decompositions
• Reduction of symplectic manifolds with symmetry
• Momentum maps and Hamiltonian reduction
• Hopf algebras of primitive Lie pseudogroups and Hopf cyclic cohomology
• Poisson structures on the cotangent bundle of a Lie group or a principle bundle and their reductions
• Symplectic connections and the linearisation of Hamiltonian systems
• Tulczyjew's Triplet for Lie Groups II: Dynamics
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