It is shown that the nonlinear pendulum equation can be transformed into a linear harmonic oscillator in the phase space thanks to Kerner’s method [12]. Moreover, as a mathematical divertissement, the second-order differential equation determining the phase-space trajectories of the nonlinear pendulum is quantized.
Nucci, M.C. (2017). The nonlinear pendulum always oscillates. JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 24(Suppl 1), 146-156 [10.1080/14029251.2017.1418059].
The nonlinear pendulum always oscillates
Nucci, Maria Clara
2017
Abstract
It is shown that the nonlinear pendulum equation can be transformed into a linear harmonic oscillator in the phase space thanks to Kerner’s method [12]. Moreover, as a mathematical divertissement, the second-order differential equation determining the phase-space trajectories of the nonlinear pendulum is quantized.File in questo prodotto:
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