Abstract
AbstractIn this chapter we study applications of Weierstrass functions in classical mechanics, particularly in one-dimensional problems. The common characteristic of these problems is the fact that the Weierstrass differential equation emerges as the conservation of energy. The benefits of this study are going to be twofold: Firstly, we are going to obtain analytic solutions to some basic mechanics problems, such as the cubic potential or the simple pendulum, which allow the comprehension of the qualitative behaviour of these systems. Secondly, we are going to acquire a better physical understanding of the properties of the Weierstrass elliptic function, especially those analysed in Chap. 3, through the conception of the latter as the solution to a mechanical problem.
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