Remarks on the integrabililty of the Lorenz System

2024/03/09 by Yao, Yiting
#Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.2403.07020

Abstract

In this work, we study the integrability, as well as the dynamics of the Lorenz System. This include a very useful identity:βz²(σt)+y²(βσt)=ρx²(βt)+νe^-2βσt,where ν∈ℝ is a constant. And we will see some applications of this identity.

Related

• A complete and partial integrability technique of the Lorenz system
• Computational Complex Dynamics Of The Discrete Lorenz System
• Waveform proportionality and Taylor's law in coupled Lorenz systems
• The Lorenz Renormalization Conjecture
• Cascade solutions of the Lorenz system