Abstract
A novel analytic approximate technique, namely optimal variational method (OVM), is employed to propose an approach to solve some nonconservative nonlinear oscillators. Different from perturbation methods, the validity of the OVM is independent on whether or not there exist small physical parameters in the considered nonlinear equations. This procedure offers a promising approach by constructing a generalized Lagrangian and a generalized Hamiltonian for nonlinear oscillators. An excellent agreement has been found between the analytical results obtained by the proposed method and numerical integration results.
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Marinca, V., Herişanu, N. (2016). The Oscillator with Linear and Cubic Elastic Restoring Force and Quadratic Damping. In: Awrejcewicz, J. (eds) Dynamical Systems: Theoretical and Experimental Analysis. Springer Proceedings in Mathematics & Statistics, vol 182. Springer, Cham. https://doi.org/10.1007/978-3-319-42408-8_18
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DOI: https://doi.org/10.1007/978-3-319-42408-8_18
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