The simple pendulum problem in mechanics can be solved using the Sn Jacobi Elliptic function. In this notebook we make some nice plots of the phase space of the system using ...

Using C-code communicating with Mathematica via Mathlink, this package solves the undamped pendulum in a Hamiltonian formulation using a variety of Runge-Kutta algorithms ...

In this notebook, the author discusses and develops the equations of motion for specific cycles of an elastic pendulum. Physics 499J student project. Univeristy of Maryland.

This submission is a Mathematica notebook that shows the (equation-driven) motion of a double pendulum in three dimensions. This simulation requires a free download of ...

Recently, Mullin and Acheson (Nature 366, 215-216, 1993) demonstrated that it is possible in practice to stabilize an inverted triple pendulum by rapid vertical oscillations ...

The article presents an analysis of the dynamics of a double mathematical pendulum with variable mass. In the analyzed system, with time, under the influence of gravity, the ...

We study a doubly discrete quantum sine-Gordon equation, which is derived from the quantum Volterra model solved by Faddeev and Volkov [Teor. Mat. Fiz. 92 (1992) 207]. The ...

This notebook discusses methods of solving the simple pendulum equation. It is the first in a series of notebooks showing how Mathematica can be used to find exact power ...

In this paper we will investigate the double pendulum not just for its own sake, which is a very interesting problem in itself, but as an example of the two degrees of ...

The physical pendulum treated with a Hamiltonian formulation is a natural topic for study in a course in advanced classical mechanics. For the past three years, we have been ...