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

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

2001-05-17

arxiv.org/abs/math/0105149v1

Mathematics

Dynamical Systems

6 pages, 6 EPS figures

Scientific paper

It 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.

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