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Bounds of the hyper-chaotic Lorenz–Stenflo system

✍ Scribed by Pei Wang; Damei Li; Qianli Hu

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
669 KB
Volume
15
Category
Article
ISSN
1007-5704

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✦ Synopsis

a b s t r a c t

To estimate the ultimate bound and positively invariant set for a dynamical system is an important but quite challenging task in general. This paper attempts to investigate the ultimate bounds and positively invariant sets of the hyper-chaotic Lorenz-Stenflo (L-S) system, which is based on the optimization method and the comparison principle. A family of ellipsoidal bounds for all the positive parameters values a, b, c, dand a cylindrical bound for a > 0, b > 1, c > 0, d > 0 are derived. Numerical results show the effectiveness and advantage of our methods.

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