Lyapunov dimension formula for the attractor of the Glukhovsky–Dolzhansky system
- Authors: Leonov G.A.1,2, Mokaev T.N.1
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Affiliations:
- Faculty of Mathematics and Mechanics
- Institute of Problems of Mechanical Engineering
- Issue: Vol 93, No 1 (2016)
- Pages: 42-45
- Section: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/223363
- DOI: https://doi.org/10.1134/S1064562416010154
- ID: 223363
Cite item
Abstract
Exact formulas for the Lyapunov dimension of attractors of the generalized Lorenz system and the Glukhovsky–Dolzhansky system are obtained.
About the authors
G. A. Leonov
Faculty of Mathematics and Mechanics; Institute of Problems of Mechanical Engineering
Author for correspondence.
Email: leonov@math.spbu.ru
Russian Federation, Universitetskii pr. 28, Peterhof, St. Petersburg, 198504; Bol’shoi pr. 61, St. Petersburg, 199178
T. N. Mokaev
Faculty of Mathematics and Mechanics
Email: leonov@math.spbu.ru
Russian Federation, Universitetskii pr. 28, Peterhof, St. Petersburg, 198504
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