Мақаланы E-mail арқылы жіберу Asymptotic behavior of solutions of Lorenz-like systems: Analytical results and computer error structures
- Авторлар: Leonov G.A.1,2, Andrievskiy B.R.2,3, Mokaev R.N.1,2
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Мекемелер:
- St. Petersburg State University
- Institute of Problems of Mechanical Engineering
- St. Petersburg National Research University of Information Technologies
- Шығарылым: Том 50, № 1 (2017)
- Беттер: 15-23
- Бөлім: 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.
Авторлар туралы
G. Leonov
St. Petersburg State University; Institute of Problems of Mechanical Engineering
Хат алмасуға жауапты Автор.
Email: leonov@math.spbu.ru
Ресей, 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
Ресей, St. Petersburg, 199178; St. Petersburg, 197101
R. Mokaev
St. Petersburg State University; Institute of Problems of Mechanical Engineering
Email: leonov@math.spbu.ru
Ресей, St. Petersburg, 199034; St. Petersburg, 199178
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