Skinner-Rusk approach to time-dependent mechanics
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Publication:1607332
DOI10.1016/S0375-9601(02)00777-6zbMath0997.70014arXivmath-ph/0203045OpenAlexW2121820916MaRDI QIDQ1607332
Sonia Martínez, Jorge Cortés, Frans Cantrijn
Publication date: 31 July 2002
Published in: Physics Letters. A (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math-ph/0203045
Related Items (11)
Second-order constrained variational problems on Lie algebroids: applications to optimal control ⋮ Higher-order contact mechanics ⋮ Skinner-Rusk formalism for \(k\)-contact systems ⋮ A new multisymplectic unified formalism for second order classical field theories ⋮ Lagrangian-Hamiltonian formalism for cocontact systems ⋮ GEOMETRIC ASPECTS OF TIME-DEPENDENT SINGULAR DIFFERENTIAL EQUATIONS ⋮ \(k\)-cosymplectic classical field theories: Tulczyjew and skinner-rusk formulations ⋮ Unified formalism for higher-order variational problems and its applications in optimal control ⋮ Unified formalism for nonautonomous mechanical systems ⋮ Unified formalism for higher order non-autonomous dynamical systems ⋮ Günther’s formalism (k-symplectic formalism) in classical field theory: Skinner–Rusk approach and the evolution operator
Cites Work
- The constraint algorithm in the jet formalism
- Generalized Hamiltonian dynamics. I. Formulation on T*Q⊕T Q
- Generalized Hamiltonian dynamics. II. Gauge transformations
- First-order equations of motion for classical mechanics
- Geometric Lagrangian approach to first-order systems and applications
- The constraint algorithm for time-dependent Lagrangians
- Regularity aspects and Hamiltonization of non-holonomic systems
- Canonical transformation and stabilization of generalized Hamiltonian systems
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