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arXiv · 2403.07020

Remarks on the integrabililty of the Lorenz System

Yiting Yao
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Abstract

In this work, we study the integrability, as well as the dynamics of the Lorenz System. This include a very useful identity:\[ \beta z^2(\sigma t)+y^2(\beta\sigma t)=\rho x^2(\beta t)+\nu e^{-2\beta\sigma t}, \]where $\nu\in\mathbb{R}$ is a constant. And we will see some applications of this identity.

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Yiting Yao. 2024-03-09. Remarks on the integrabililty of the Lorenz System. https://arxiv.org/abs/2403.07020

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