Lie point symmetries and the time-independent integral of the damped harmonic oscillator

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dc.contributor.authorBhuvaneswari, A.
dc.contributor.authorKraenkel, R. A.
dc.contributor.authorSenthilvelan, M.
dc.contributor.institutionBharathidasan University
dc.contributor.institutionInstituto de Fisica Teorica
dc.date.accessioned2022-04-28T18:56:46Z
dc.date.available2022-04-28T18:56:46Z
dc.date.issued2011-05-01
dc.description.abstractThere has been growing interest recently in identifying the time-independent integral in dissipative systems. In this paper, we construct the time-independent integral for the damped harmonic oscillator from the time translational Lie vector field using the recently proposed λ-symmetries method (Muriel and Romero 2009 J. Phys. A: Math. Theor. 42 365207) and establish a group theoretical interpretation of the time-independent integral admitted by the damped harmonic oscillator. © 2011 The Royal Swedish Academy of Sciences.en
dc.description.affiliationCentre for Nonlinear Dynamics School of Physics Bharathidasan University, Tiruchirappalli-620 024
dc.description.affiliationInstituto de Fisica Teorica, Rua Dr Bento Teobaldo Ferraz 271, 01140-070 So Paulo
dc.identifierhttp://dx.doi.org/10.1088/0031-8949/83/05/055005
dc.identifier.citationPhysica Scripta, v. 83, n. 5, 2011.
dc.identifier.doi10.1088/0031-8949/83/05/055005
dc.identifier.issn0031-8949
dc.identifier.issn1402-4896
dc.identifier.scopus2-s2.0-79955859151
dc.identifier.urihttp://hdl.handle.net/11449/219648
dc.language.isoeng
dc.relation.ispartofPhysica Scripta
dc.sourceScopus
dc.titleLie point symmetries and the time-independent integral of the damped harmonic oscillatoren
dc.typeArtigo

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