Enviar artigo por via de e-mail Asymptotic behavior of solutions of Lorenz-like systems: Analytical results and computer error structures
- Autores: Leonov G.A.1,2, Andrievskiy B.R.2,3, Mokaev R.N.1,2
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Afiliações:
- St. Petersburg State University
- Institute of Problems of Mechanical Engineering
- St. Petersburg National Research University of Information Technologies
- Edição: Volume 50, Nº 1 (2017)
- Páginas: 15-23
- Seção: Mathematics
- URL: https://journals.rcsi.science/1063-4541/article/view/185669
- DOI: https://doi.org/10.3103/S1063454117010071
- ID: 185669
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Resumo
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.
Sobre autores
G. Leonov
St. Petersburg State University; Institute of Problems of Mechanical Engineering
Autor responsável pela correspondência
Email: leonov@math.spbu.ru
Rússia, 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
Rússia, St. Petersburg, 199178; St. Petersburg, 197101
R. Mokaev
St. Petersburg State University; Institute of Problems of Mechanical Engineering
Email: leonov@math.spbu.ru
Rússia, St. Petersburg, 199034; St. Petersburg, 199178
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