Unified formalism for higher order non-autonomous dynamical systems

DOI10.1063/1.3692326zbMath1274.37033arXiv1111.6020OpenAlexW2068001039MaRDI QIDQ2861763

Pedro Daniel Prieto-Martínez, Narciso Román-Roy

Publication date: 11 November 2013

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.6020

Mathematics Subject Classification ID

Related Items (11)

Second-order constrained variational problems on Lie algebroids: applications to optimal control ⋮ A Lagrangian form of tangent forms ⋮ A Hamilton–Jacobi formalism for higher order implicit Lagrangians ⋮ Higher-order contact mechanics ⋮ Skinner-Rusk formalism for \(k\)-contact systems ⋮ A new multisymplectic unified formalism for second order classical field theories ⋮ Unified Lagrangian‐Hamiltonian Formalism for Contact Systems ⋮ Lagrangian-Hamiltonian formalism for cocontact systems ⋮ Reductions of topologically massive gravity II. First order realizations of second order Lagrangians ⋮ Unified formalism for higher-order variational problems and its applications in optimal control ⋮ Reductions of topologically massive gravity I: Hamiltonian analysis of second order degenerate Lagrangians

Cites Work

• Unnamed Item
• Gauge symmetry and W-algebra in higher derivative systems
• Symmetries and first integrals of time-dependent higher-order constrained systems
• Multisymplectic Lagrangian and Hamiltonian formalisms of classical field theories
• The Lagrangian-Hamiltonian formalism for higher-order field theories
• \(W\)-symmetry and the rigid particle.
• Skinner-Rusk approach to time-dependent mechanics
• The constraint algorithm in the jet formalism
• Affine Hamiltonians in higher order geometry
• Geometric numerical integration of nonholonomic systems and optimal control problems
• Variational principles on rth order jets of fibre bundles in field theory
• Field theory of paths with a curvature-dependent term
• Lagrangian–Hamiltonian unified formalism for autonomous higher order dynamical systems
• Generalized Hamiltonian dynamics. I. Formulation on T*Q⊕T Q
• Unambiguous formalism for higher order Lagrangian field theories
• Singular Lagrangians with higher derivatives
• Higher-order differential equations and higher-order lagrangian mechanics
• An alternative approach to the Cartan form in Lagrangian field theories
• Lagrangian and Hamiltonian constraints for second-order singular Lagrangians
• Higher-order Hamiltonian formalism in field theory
• On the Legendre map in higher-order field theories
• Higher-order Lagrangian systems: Geometric structures, dynamics, and constraints
• An embedding technique for the solution of coupled Riccati equations
• THE TIME-EVOLUTION OPERATOR FOR HIGHER-ORDER SINGULAR LAGRANGIANS
• (2+1)-dimensional models of relativistic particles with curvature and torsion
• The constraint algorithm for time-dependent Lagrangians
• HIGHER-DERIVATIVE TWO-DIMENSIONAL MASSIVE FERMION THEORIES
• Singular Lagrangian Systems on Jet Bundles
• Lagrangian–Hamiltonian unified formalism for field theory
• Skinner–Rusk unified formalism for optimal control systems and applications
• Unified formalism for nonautonomous mechanical systems
• Higher-order mechanical systems with constraints

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