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arXiv · 0807.3288

The Analysis of Rotated Vector Field for the Pendulum

Lian-Gang Li
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Abstract

The pendulum, in the presence of linear dissipation and a constant torque, is a non-integrable, nonlinear differential equation. In this paper, using the idea of rotated vector fields, derives the relation between the applied force $β$ and the periodic solution, and a conclusion that the critical value of $β$ is a fixed one in the over damping situation. These results are of practical significance in the study of charge-density waves in physics.

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Lian-Gang Li. 2012-05-13. The Analysis of Rotated Vector Field for the Pendulum. https://arxiv.org/abs/0807.3288

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