Geometric description of time-dependent finite-dimensional mechanical systems
DOI10.1177/1081286520918900zbMath1485.70014OpenAlexW3038737432MaRDI QIDQ5141948
Tom Winandy, Giuseppe Capobianco, Simon R. Eugster
Publication date: 29 December 2020
Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1177/1081286520918900
differential geometrygeometric mechanicstime-dependent Lagrangian mechanicsfinite-dimensional mechanical systemstime-dependent Hamiltonian mechanics
Hamilton's equations (70H05) Hamilton's principle (70H25) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Lagrange's equations (70H03)
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- Mathematical methods of classical physics
- The inverse problem in the calculus of variations and the geometry of the tangent bundle
- Theoretical physics 1: Mechanics. From Newton's laws to deterministic chaos.
- Automorphism groups of classical mechanical systems
- Structure of dynamical systems. A symplectic view of physics. Transl. from the French by C. H. Cushman-de Vries. Transl. ed.: R. H. Cushman a. G. M. Tuynman
- Espaces variationnels et mécanique
- Geometric mechanics
- Nonholonomic mechanics and control. With the collaboration of J. Baillieul, P. E Crouch, J. E. Marsden and D. Zenkov. With scientific input from P. S. Krishnaprasad and R. M. Murray
- Les systémes dynamiques abstraits
- Die Differentialgeometrie des Galileischen Relativitätsprinzips
- Contact Hamiltonian mechanics
- Les formes extérieures en mécanique
- Connections and dynamical trajectories in generalised Newton-Cartan gravity I. An intrinsic view
- Introduction to Smooth Manifolds
- A geometrical version of the Helmholtz conditions in time-dependent Lagrangian dynamics
- Time-dependent Lagrangian systems: A geometric approach to the theory of systems with constraints
- Four-Dimensional Formulations of Newtonian Mechanics and Their Relation to the Special and the General Theory of Relativity
- Les espaces variationnels généralisés
- Riemannian geometry and geometric analysis
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