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Lyapunov functions in the attractors dimension theory |
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| Authors: | GA Leonov |
| Institution: | St Petersburg, Russia |
| 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. |
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