학술논문
Remarks on the integrabililty of the Lorenz System
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Working Paper
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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.
Comment: A lot of mathematical errors, decided to correct them and withdraw it now
Comment: A lot of mathematical errors, decided to correct them and withdraw it now