Symmetry preservation in Hamiltonian systems: simulation and learning
DOI10.1007/s00332-024-10089-5MaRDI QIDQ6635929
David Martín de Diego, Jorge Cortés, Miguel Vaquero
Publication date: 12 November 2024
Published in: Journal of Nonlinear Science (Search for Journal in Brave)
Hamiltonian systemsLagrangian submanifoldssimulationsNoether's theoremmomentum mappingsreduction theorycoisotropic reduction
Symplectic manifolds (general theory) (53D05) Simulation of dynamical systems (37M05) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15) Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.) (37J39) Computational methods for invariant manifolds of dynamical systems (37M21)
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