Variational problem of Herglotz type for Birkhoffian system and its Noether's theorems
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Publication:2360354
DOI10.1007/s00707-016-1758-3zbMath1401.70028OpenAlexW2571311856MaRDI QIDQ2360354
Publication date: 3 July 2017
Published in: Acta Mechanica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00707-016-1758-3
Fractional derivatives and integrals (26A33) Other variational principles in mechanics (70H30) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33)
Related Items (15)
Conservation laws of nonconservative nonholonomic system based on Herglotz variational problem ⋮ Adiabatic invariants for disturbed fractional Hamiltonian system in terms of Herglotz differential variational principle ⋮ Adiabatic invariants of Herglotz type for perturbed nonconservative Lagrangian systems ⋮ A new type of adiabatic invariants for disturbed Birkhoffian system of Herglotz type ⋮ Conserved quantities of conservative continuous systems by Mei symmetries ⋮ Herglotz-type principle and first integrals for nonholonomic systems in phase space ⋮ Noether's theorems for dynamical systems of two kinds of non-standard Hamiltonians ⋮ Perturbation to Lie symmetry and adiabatic invariants for Birkhoffian systems on time scales ⋮ Noether's theorem for fractional Herglotz variational principle in phase space ⋮ Theory of generalized canonical transformations for Birkhoff systems ⋮ Noether's theorem and its inverse of Birkhoffian system in event space based on Herglotz variational problem ⋮ Noether theorem for action-dependent Lagrangian functions: conservation laws for non-conservative systems ⋮ Variational problems of Herglotz type with complex order fractional derivatives and less regular Lagrangian ⋮ Noether Symmetry and Conserved Quantities of Fractional Birkhoffian System in Terms of Herglotz Variational Problem ⋮ Variational and optimal control approaches for the second-order Herglotz problem on spheres
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