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arXiv · 2409.16624

Removable dynamics in the Nose-Hoover and Moore-Spiegel Oscillators

Eran Igra
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Abstract

We study the dynamics of the Nose-Hoover and Moore-Spiegel Oscillators, and in particular, their topological dynamics. We prove the dynamics of both these systems can be reduced to a flow on a solid torus, with at most a finite number of attracting periodic trajectories. As a consequence, we obtain that every periodic trajectory for the Nose-Hoover and the Moore-Spiegel Oscillators is a Torus knot.

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Eran Igra. 2024-09-25. Removable dynamics in the Nose-Hoover and Moore-Spiegel Oscillators. https://arxiv.org/abs/2409.16624

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