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Periodic orbit analysis of the Lorenz attractor

โœ Scribed by Bruno Eckhardt; Gerolf Ott

Book ID
112515414
Publisher
Springer
Year
1994
Tongue
English
Weight
813 KB
Volume
93
Category
Article
ISSN
1434-6036

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Frequency estimates are derived for the Lyapunov dimension of attractors of non-linear dynamical systems. A theorem on the localization of global attractors is proved for the Lorenz system. This theorem is applied to obtain upper bounds for the Lyapunov dimension of attractors and to prove the exist