Noether’s-type theorems on time scales

DOI10.1063/1.5140201zbMath1466.49019OpenAlexW3099199743MaRDI QIDQ5141149

Khaled Hariz Belgacem, Jacky Cresson, Baptiste Anerot, Frédéric Pierret

Publication date: 17 December 2020

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

Full work available at URL: https://doi.org/10.1063/1.5140201

Mathematics Subject Classification ID

Symmetries and conservation laws in mechanics of particles and systems (70S10) Optimality conditions for free problems in one independent variable (49K05) Dynamic equations on time scales or measure chains (34N05) Real analysis on time scales or measure chains (26E70)

Related Items

Comment on “Noether’s-type theorems on time scales” [J. Math. Phys. 61, 113502 (2020)], Fractional time-scales Noether theorem with Caputo \(\Delta\) derivatives for Hamiltonian systems, A symmetry and Noether charge preserving discretization of initial value problems, Time-scale version of generalized Birkhoffian mechanics and its symmetries and conserved quantities of Noether type, Noether's theorems for nonshifted dynamic systems on time scales, Mei symmetry and conservation laws for time-scale nonshifted Hamilton equations, Nonshifted dynamics of constrained systems on time scales under Lagrange framework and its Noether's theorem, Caputo \(\Delta\)-type fractional time-scales Noether theorem of Birkhoffian systems

Cites Work

• The second Euler-Lagrange equation of variational calculus on time scales
• Noether's symmetry theorem for nabla problems of the calculus of variations
• Optimality conditions for the calculus of variations with higher-order delta derivatives
• Nonshifted calculus of variations on time scales with \(\nabla\)-differentiable \(\sigma\)
• The Noether theorems. Invariance and conservation laws in the twentieth century. Transl. from the French by Bertram E. Schwarzbach
• A formulation of Noether's theorem for fractional problems of the calculus of variations
• Calculus of variations on time scales: Weak local piecewise \(C_{\text{rd}}^{1}\) solutions with variable endpoints.
• Hamiltonian systems on time scales
• Dynamic equations on time scales: A survey
• A continuous/discrete fractional Noether's theorem
• About the Noether's theorem for fractional Lagrangian systems and a generalization of the classical Jost method of proof
• The second Noether theorem on time scales
• A counterexample to a Frederico-Torres fractional Noether-type theorem
• Lie-Poisson Hamilton-Jacobi theory and Lie-Poisson integrators
• Noether's theorem on time scales
• Multiscale functions, scale dynamics, and applications to partial differential equations
• Discrete mechanics and variational integrators
• Differential and difference calculus — Unified!
• Dynamics symmetries of Hamiltonian system on time scales
• Geometric Numerical Integration
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item