Noether symmetry and conserved quantity for Hamiltonian system of Herglotz type on time scales

DOI10.1007/s00707-018-2188-1zbMath1398.37049OpenAlexW2808148665MaRDI QIDQ1798612

Xue Tian, Yi Zhang

Publication date: 23 October 2018

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00707-018-2188-1

zbMATH Keywords

Noether symmetryHamilton-Herglotz actionHamiltonian system on time scales

Mathematics Subject Classification ID

Variational methods for problems in mechanics (70G75)

Related Items

Lie symmetry and invariants for a generalized Birkhoffian system on time scales ⋮ Adiabatic invariants for disturbed fractional Hamiltonian system in terms of Herglotz differential variational principle ⋮ Fractional time-scales Noether theorem with Caputo \(\Delta\) derivatives for Hamiltonian systems ⋮ Local and global conserved quantities involving generalized operators ⋮ Adiabatic invariants of Herglotz type for perturbed nonconservative Lagrangian systems ⋮ A new type of adiabatic invariants for disturbed Birkhoffian system of Herglotz type ⋮ Noether's theorem for fractional Herglotz variational principle in phase space ⋮ Adiabatic invariants and Lie symmetries on time scales for nonholonomic systems of non-Chetaev type ⋮ Noether symmetry method for Hamiltonian mechanics involving generalized operators ⋮ Variational problems of Herglotz type with complex order fractional derivatives and less regular Lagrangian ⋮ Caputo \(\Delta\)-type fractional time-scales Noether theorem of Birkhoffian systems

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