Remarks on the integrabililty of the Lorenz System
Abstract
In this work, we study the integrability, as well as the dynamics of the Lorenz System. This include a very useful identity:\[ β z2(σ t)+y2(βσ t)= x2(β t)+ e-2βσ t, \]where ∈R is a constant. And we will see some applications of this identity.
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