Regularity properties of fiber derivatives associated with higher-order mechanical systems
From MaRDI portal
Publication:2820914
DOI10.1063/1.4960822zbMath1362.37118arXiv1602.02717OpenAlexW3100579684MaRDI QIDQ2820914
Pedro Daniel Prieto-Martínez, Leonardo Colombo
Publication date: 12 September 2016
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1602.02717
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Cites Work
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- Higher order Lagrange-Poincaré and Hamilton-Poincaré reductions
- Higher-order smoothing splines versus least squares problems on Riemannian manifolds
- Invariant higher-order variational problems
- Invariant higher-order variational problems. II
- On higher order geometry on anchored vector bundles
- Dynamic coverage optimal control for multiple spacecraft interferometric imaging
- Tulczyjew triples in higher derivative field theory
- Higher-order variational calculus on Lie algebroids
- The Lagrangian-Hamiltonian formalism for higher-order field theories
- Espaces variationnels et mécanique
- Higher-order mechanics: variational principles and other topics
- Affine Hamiltonians in higher order geometry
- Bundle-theoretic methods for higher-order variational calculus
- Higher-order variational problems on Lie groups and optimal control applications
- Models for higher algebroids
- Hamiltonian dynamics and constrained variational calculus: continuous and discrete settings
- The Boltzmann-Hamel equations for the optimal control of mechanical systems with nonholonomic constraints
- Lagrangian–Hamiltonian unified formalism for autonomous higher order dynamical systems
- A Geometric Approach to the Optimal Control of Nonholonomic Mechanical Systems
- Cubic Splines on Curved Spaces
- Higher-order differential equations and higher-order lagrangian mechanics
- Lagrangian and Hamiltonian constraints for second-order singular Lagrangians
- Presymplectic manifolds and the Dirac–Bergmann theory of constraints
- 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
- Double vector bundles and duality
- A geometric setting for higher-order Dirac–Bergmann theory of constraints
- Splines of class Ck on non-euclidean spaces
- Reduced dynamics and Lagrangian submanifolds of symplectic manifolds
- Optimal control of underactuated mechanical systems: A geometric approach
- Unified formalism for higher-order variational problems and its applications in optimal control
- Lagrangian submanifolds and higher-order mechanical systems
- Lectures on symplectic geometry
