A class of Lorenz-type systems, their factorizations and extensions
Abstract
It is well known that the Lorenz system has Z2-symmetry. Using introducted in math.DS/0105147 topological covering-coloring a new representation for the Lorenz system is obtained. Deleting coloring leads to the factorized Lorenz system that is in a sense more fundamental than the original one. Finally, Zn extensions define a class of Lorenz-type systems. The approach admits a natural generalization for regular and chaotic systems with arbitrary symmetries.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.