电邮这篇文章 Asymptotic behavior of solutions of Lorenz-like systems: Analytical results and computer error structures
- 作者: Leonov G.A.1,2, Andrievskiy B.R.2,3, Mokaev R.N.1,2
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隶属关系:
- St. Petersburg State University
- Institute of Problems of Mechanical Engineering
- St. Petersburg National Research University of Information Technologies
- 期: 卷 50, 编号 1 (2017)
- 页面: 15-23
- 栏目: Mathematics
- URL: https://journals.rcsi.science/1063-4541/article/view/185669
- DOI: https://doi.org/10.3103/S1063454117010071
- ID: 185669
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详细
For Lorenz-like systems with volume contractions, analytical criteria for the global stability and instability of stationary sets are obtained. Numerical experiments for the study of the qualitative behavior of trajectories of Lorenz-like systems are described and analyzed. It is shown that their interpretation can lead to incorrect conclusions unless an additional verification oriented to the analytical results is performed.
作者简介
G. Leonov
St. Petersburg State University; Institute of Problems of Mechanical Engineering
编辑信件的主要联系方式.
Email: leonov@math.spbu.ru
俄罗斯联邦, St. Petersburg, 199034; St. Petersburg, 199178
B. Andrievskiy
Institute of Problems of Mechanical Engineering; St. Petersburg National Research University of Information Technologies
Email: leonov@math.spbu.ru
俄罗斯联邦, St. Petersburg, 199178; St. Petersburg, 197101
R. Mokaev
St. Petersburg State University; Institute of Problems of Mechanical Engineering
Email: leonov@math.spbu.ru
俄罗斯联邦, St. Petersburg, 199034; St. Petersburg, 199178
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