Approximate Hamiltonian symmetries and related first integrals
Sign Up to like & getrecommendations! Published in 2020 at "International Journal of Non-linear Mechanics"
DOI: 10.1016/j.ijnonlinmec.2020.103547
Abstract: Abstract We study approximate Hamiltonian symmetries and related first integrals for perturbed Hamiltonian systems. The approximate Hamiltonian symmetry expressed in evolutionary form gives rise to an approximate first integral provided it satisfies certain criteria. We… read more here.
Keywords: approximate hamiltonian; hamiltonian symmetries; first integrals; related first ... See more keywords
Rindler geodesics: Lie and Hamiltonian symmetries, conservation laws and Hamiltonian equations
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Interdisciplinary Mathematics"
DOI: 10.1080/09720502.2021.1885179
Abstract: The present paper includes the Lie symmetry analysis of the Rindler’s geodesics. Geometric vector fields of symmetries are found via the standard Lie algorithm. The general form of solutions constructed by the symmetries are given.… read more here.
Keywords: conservation laws; hamiltonian symmetries; rindler geodesics; hamiltonian equations ... See more keywords