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Big-Alabo, Akuro; Alfred, Peter Brownson

Exact periodic solution of the undamped Helmholtz oscillator subject to a constant force and arbitrary initial conditions. (English) Zbl 07869407

Math. Methods Appl. Sci. 47, No. 9, 7198-7218 (2024).

MSC:

34A05 Explicit solutions, first integrals of ordinary differential equations
34A34 Nonlinear ordinary differential equations and systems
37N15 Dynamical systems in solid mechanics
33E05 Elliptic functions and integrals

Keywords:

arbitrary initial conditions; Helmholtz oscillator; Jacobi elliptic function; nonlinear conservative system; quadratic nonlinearity
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References:

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