Lyapunov dimension formula for the attractor of the Glukhovsky–Dolzhansky system


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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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