Lorenz cycle for the Lorenz attractor
Vinicio Pelino, Filippo Maimone
TL;DR
This paper investigates the energy dynamics of the Lorenz-63 system by analyzing its Lie-Poisson structure, providing insights into its underlying geometric and physical properties.
Contribution
It introduces a Lie-Poisson framework to analyze the energetics of the Lorenz-63 system, offering a novel geometric perspective.
Findings
Characterization of energy transfer in Lorenz-63
Identification of conserved quantities
Insights into chaotic behavior mechanisms
Abstract
In this note we study energetics of Lorenz-63 system through its Lie-Poisson structure.
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Taxonomy
TopicsAdvanced Differential Equations and Dynamical Systems · Nonlinear Dynamics and Pattern Formation · Chaos control and synchronization