Отправить статью по E-mail Asymptotic behavior of solutions of Lorenz-like systems: Analytical results and computer error structures
- Авторы: Leonov G.A.1,2, Andrievskiy B.R.2,3, Mokaev R.N.1,2
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Учреждения:
- St. Petersburg State University
- Institute of Problems of Mechanical Engineering
- St. Petersburg National Research University of Information Technologies
- Выпуск: Том 50, № 1 (2017)
- Страницы: 15-23
- Раздел: Mathematics
- URL: https://journals.rcsi.science/1063-4541/article/view/185669
- DOI: https://doi.org/10.3103/S1063454117010071
- ID: 185669
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Аннотация
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.
Об авторах
G. Leonov
St. Petersburg State University; Institute of Problems of Mechanical Engineering
Автор, ответственный за переписку.
Email: leonov@math.spbu.ru
Россия, 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
Россия, St. Petersburg, 199178; St. Petersburg, 197101
R. Mokaev
St. Petersburg State University; Institute of Problems of Mechanical Engineering
Email: leonov@math.spbu.ru
Россия, St. Petersburg, 199034; St. Petersburg, 199178
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