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Title: | Application of the Hamilton-Jacobi method to the study of rheo-linear oscillators | Authors: | Vujanovic B. | Issue Date: | 1-Mar-1992 | Journal: | Acta Mechanica | Abstract: | In this paper we demonstrate that the well-known Hamilton-Jacobi method can be used in study of the rheo-linear (i.e. time dependent) harmonic oscillator with a single degree of freedom. It will be shown that the quadratic conservation laws (exact invariants) together with corresponding auxiliary equations follow immediately from the complete integral of Hamilton-Jacobi partial differential equation by application of the Jacobi theorem. Attention is also paid to the study of linear conservation laws and to the motion of rheo-linear dynamical systems. © 1992 Springer-Verlag. | URI: | https://open.uns.ac.rs/handle/123456789/13302 | ISSN: | 00015970 | DOI: | 10.1007/BF01182583 |
Appears in Collections: | FTN Publikacije/Publications |
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