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Numerical aspects of two coupled harmonic oscillators

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Apr 09, 2020

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In this study an interesting symmetric linear system is considered. As a first step we obtain the Lagrangian of the system. Secondly, we derive the classical Euler- Lagrange equations of the system. Finally, numerical and analytic solution for these equations have been presented for some chosen initial conditions.

Language:
English
Publication timeframe:
3 times per year
Journal Subjects:
Mathematics, General Mathematics