| Abstract: |
| Noethr`s theorem establishes an interesting connection between symmetries of the action integral and conservation laws (first integrals) of a dynamical system. This paper discusses Noether symmetry classification of damped harmonic oscillator and the associated conserved quantities for all under-damped, over-damped and critical
damped cases. Being a linear scalar, damped harmonic oscillator equation admits maximum five dimensional algebra of Noether symmetries which provide corresponding five invariant quantities. Moreover, we also point out some interesting aspects of these results in addition to what already exist in the literature. |
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