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Existence of heteroclinic and homoclinic orbits in two different chaotic dynamical systems

✍ Scribed by M.M. El-Dessoky; M.T. Yassen; E. Saleh; E.S. Aly


Book ID
116204480
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
453 KB
Volume
218
Category
Article
ISSN
0096-3003

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Bounds for attractors and the existence
✍ G.A. Leonov πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 921 KB

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