Constructing the Hamiltonian from the behaviour of a dynamical system by proper symplectic decomposition

DOI10.1007/978-3-030-80209-7_48zbMath1494.37035arXiv2104.10910OpenAlexW3174793675MaRDI QIDQ2117883

Nima Shirafkan, Pierre Gosselet, Abdelbacet Oueslati, Franz Bamer, Bernd Markert, Gery De Saxce

Publication date: 22 March 2022

Full work available at URL: https://arxiv.org/abs/2104.10910

zbMATH Keywords

principal component analysismodal analysismodel order reductionsymplectic mechanics

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) General theory of finite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, invariants (37J06) Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.) (37J39)

Cites Work

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• Separated representations and PGD-based model reduction. Fundamentals and applications. Papers based on the presentations at the course
• Symplectic Model Reduction of Hamiltonian Systems

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