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Content available Homotopy analysis of explicit series solutions in a modified nose-hoover oscillator
Deng Bo, Duarte Jorge, Januario Cristina, Martins Nuno
Journal of Applied Mathematics and Computational Mechanics
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2024
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Vol. 23, nr 2
19--30
EN
In light of recent advancements in the literature concerning the Homotopy Analysis Method (HAM), this paper introduces a stepwise homotopy analysis methodology. This approach is employed to derive explicit series solutions for a generalized Nos´e-Hoover oscillator. Using an optimized homotopy analysis strategy, the computational efficiency of HAM is enhanced through small step intervals, significantly expediting the convergence of series solutions over an extended duration. Comparative analyses between analytical and numerical results are illustrated. The fluctuation in amplitude of the approximate analytical solutions, with respect to the control parameters of the system, is used to generate density plots. These plots serve to highlight additional dynamic features of the oscillator.
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