A class of Lorenz-type systems, their factorizations and extensions

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dc.creatorKunin, I.
dc.creatorRunov, A.
dc.date2001-05-17
dc.date.accessioned2026-07-07T04:41:45Z
dc.date.available2026-07-07T04:41:45Z
dc.descriptionIt is well known that the Lorenz system has $Z_2$-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, $Z_n$ extensions define a class of Lorenz-type systems. The approach admits a natural generalization for regular and chaotic systems with arbitrary symmetries.
dc.description6 pages, 6 EPS figures
dc.identifierhttps://arxiv.org/abs/math/0105149
dc.identifierhttp://arxiv.org/abs/math/0105149
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61490
dc.subjectDynamical Systems
dc.titleA class of Lorenz-type systems, their factorizations and extensions
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