A GEOMETRIC SETTING FOR SYSTEMS OF ORDINARY DIFFERENTIAL EQUATIONS

DOI10.1142/S0219887811005701zbMath1286.34018arXiv1011.5799OpenAlexW3105018132WikidataQ115441096 ScholiaQ115441096MaRDI QIDQ2891013

Matias F. Dahl, Oana Constantinescu, Ioan Bucataru

Publication date: 12 June 2012

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

Full work available at URL: https://arxiv.org/abs/1011.5799

zbMATH Keywords

symmetriesJacobi endomorphismWünschmann invariantfirst-order variationdynamical covariant derivative

Mathematics Subject Classification ID

Geometric methods in ordinary differential equations (34A26) Symmetries, invariants of ordinary differential equations (34C14) Variational principles in infinite-dimensional spaces (58E30)

Related Items (13)

Jacobi stability analysis of scalar field models with minimal coupling to gravity in a cosmological background ⋮ Symmetries of second order differential equations on Lie algebroids ⋮ PROJECTIVE AND FINSLER METRIZABILITY: PARAMETERIZATION-RIGIDITY OF THE GEODESICS ⋮ Hypocoercivity of Langevin-type dynamics on abstract smooth manifolds ⋮ Statistical structures on metric path spaces ⋮ Symmetries of Hamiltonian systems on Lie algebroids ⋮ KCC Analysis of the Normal Form of Typical Bifurcations in One-Dimensional Dynamical Systems: Geometrical Invariants of Saddle-Node, Transcritical, and Pitchfork Bifurcations ⋮ \(k\)-parameter geodesic variations ⋮ Unnamed Item ⋮ SYMMETRIES, NEWTONOID VECTOR FIELDS AND CONSERVATION LAWS IN THE LAGRANGIAN k-SYMPLECTIC FORMALISM ⋮ Symmetries and conservation laws of Hamiltonian systems ⋮ Generalized Helmholtz conditions for non-conservative Lagrangian systems ⋮ FINSLER METRIZABLE ISOTROPIC SPRAYS AND HILBERT’S FOURTH PROBLEM

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