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Mathematics and Mechanics

Russian Academy of Sciences
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in January 1936
(Translated from 1958)
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IssuesArchive of Issues2012-2pp.129-141

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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
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