Lyapunov dimension formulas for Lorenz-like systems
- 作者: Leonov G.1,2
-
隶属关系:
- Institute of Problems of Mechanical Engineering
- Faculty of Mathematics and Mechanics
- 期: 卷 93, 编号 3 (2016)
- 页面: 304-306
- 栏目: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/223796
- DOI: https://doi.org/10.1134/S1064562416030285
- ID: 223796
如何引用文章
详细
A general formula for the Lyapunov dimension of attractors of the Lorenz and Tigan systems is derived in the case when all their equilibrium states are hyperbolic. Lyapunov dimension formulas are obtained for the classical Lorentz parameters σ > 0, r > 1, and b ∈ (0, 4]. The problems of deriving analytical dimension formulas for the Chen and Lu systems and for the global stability of the Lorenz system are formulated.
作者简介
G. Leonov
Institute of Problems of Mechanical Engineering; Faculty of Mathematics and Mechanics
编辑信件的主要联系方式.
Email: leonov@math.spbu.ru
俄罗斯联邦, V. O., Bol’shoi pr. 61, St. Petersburg, 199178; Universitetskii pr. 28, Peterhof, St. Petersburg, 198504