Symmetry Methods in Lagrangian and Hamiltonian Systems

Ali, Idris Hussein Gamar; Supervisor, - Mohamed Ali Bashir

dc.contributor.author	Ali, Idris Hussein Gamar
dc.contributor.author	Supervisor, - Mohamed Ali Bashir
dc.date.accessioned	2020-02-16T10:20:56Z
dc.date.available	2020-02-16T10:20:56Z
dc.date.issued	2019-12-10
dc.identifier.citation	Ali, Idris Hussein Gamar . Symmetry Methods in Lagrangian and Hamiltonian Systems / Idris Hussein Gamar Ali ; Mohamed Ali Bashir .- Khartoum: Sudan University of Science and Technology, college of Science, 2019 .- 254p. :ill. ;28cm .- PhD.	en_US
dc.identifier.uri	http://repository.sustech.edu/handle/123456789/24672
dc.description	Thesis	en_US
dc.description.abstract	The aim of this research is to discuss and study symmetries of Lagrangian and Hamiltonian systems using Lie algebra of the symmetry Lie groups. In particular conservation laws for invariant variational based on Noether theorem. We introduced analytical and geometrical formulation of Lagrangian and Hamiltonian systems that contain symmetry rules on the vector space by using classical variational calculus. Also we obtained the reduction of controlled Lagrangian and Hamiltonian systems with symmetry. Finally we classify the symmetry groups of Hamiltonian system with degrees of freedom and we provided some application of symmetries of Lagrangian and Hamiltonian systems.	en_US
dc.description.sponsorship	Sudan University of Science and Technology	en_US
dc.language.iso	en	en_US
dc.publisher	Sudan University of Science and Technology	en_US
dc.subject	Mathematics	en_US
dc.subject	Symmetry Methods i	en_US
dc.subject	Lagrangian and Hamiltonian Systems	en_US
dc.title	Symmetry Methods in Lagrangian and Hamiltonian Systems	en_US
dc.title.alternative	طــرق الـتـمـاثـل فـي نــظـــم لاجـرانج و هـمـلـتـون	en_US
dc.type	Thesis	en_US