A class of Lorenz-type systems, their factorizations and extensions
动力系统
2007-05-23 v1
摘要
It is well known that the Lorenz system has -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, extensions define a class of Lorenz-type systems. The approach admits a natural generalization for regular and chaotic systems with arbitrary symmetries.
引用
@article{arxiv.math/0105149,
title = {A class of Lorenz-type systems, their factorizations and extensions},
author = {I. Kunin and A. Runov},
journal= {arXiv preprint arXiv:math/0105149},
year = {2007}
}
备注
6 pages, 6 EPS figures