Email this article Asymptotic behavior of solutions of Lorenz-like systems: Analytical results and computer error structures
- Authors: Leonov G.A.1,2, Andrievskiy B.R.2,3, Mokaev R.N.1,2
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Affiliations:
- St. Petersburg State University
- Institute of Problems of Mechanical Engineering
- St. Petersburg National Research University of Information Technologies
- Issue: Vol 50, No 1 (2017)
- Pages: 15-23
- Section: Mathematics
- URL: https://journal-vniispk.ru/1063-4541/article/view/185669
- DOI: https://doi.org/10.3103/S1063454117010071
- ID: 185669
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Abstract
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.
About the authors
G. A. Leonov
St. Petersburg State University; Institute of Problems of Mechanical Engineering
Author for correspondence.
Email: leonov@math.spbu.ru
Russian Federation, St. Petersburg, 199034; St. Petersburg, 199178
B. R. Andrievskiy
Institute of Problems of Mechanical Engineering; St. Petersburg National Research University of Information Technologies
Email: leonov@math.spbu.ru
Russian Federation, St. Petersburg, 199178; St. Petersburg, 197101
R. N. Mokaev
St. Petersburg State University; Institute of Problems of Mechanical Engineering
Email: leonov@math.spbu.ru
Russian Federation, St. Petersburg, 199034; St. Petersburg, 199178
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