 | | Journal of Applied
Mathematics and Mechanics
Russian Academy of Sciences | | Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
(print version) |
Archive of Issues
| Total articles in the database: | | 10512 |
| In Russian (ΟΜΜ): | | 9713
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| In English (J. Appl. Math. Mech.): | | 799 |
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| G.A. Leonov, "Lyapunov functions in the attractors dimension theory," J. Appl. Math. Mech. 76 (2), 129-141 (2012) |
| Year |
2012 |
Volume |
76 |
Issue |
2 |
Pages |
129-141 |
| Title |
Lyapunov functions in the attractors dimension theory |
| Author(s) |
G.A. Leonov (St Petersburg, Russia, leonov@math.spbu.ru) |
| Abstract |
The effectiveness of constructing Lyapunov functions in the attractors dimension theory is theory of the dimension demonstrated. Formulae for the Lyapunov dimension of the Lorenz, Hénon and Chirikov attractors are derived and proved. A hypothesis regarding the formula for the dimension of the Rössler attractor is formulated. |
| Received |
03 April 2011 |
| Link to Fulltext |
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