Journal of Applied Nonlinear Dynamics
Exact Lyapunov Dimension of Attractors and Convergence for the Lorenz System
Journal of Applied Nonlinear Dynamics 7(3) (2018) 319--327 | DOI:10.5890/JAND.2018.09.009
G. A. Leonov
Department of Applied Cybernetics, Saint-Petersburg State University, Universitetsky pr. 28, Saint-Petersburg, Russia, 198504
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Abstract
Lyapunov dimension formula for Lorenz system is obtained. The methods of attractors localization and Lyapunov functions are developed.
Acknowledgments
This work was supported by Russian Science Foundation project 14-21-00041.
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