An ultimate bound on the trajectories of Lorenz system and its applications

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Abstract

In this paper a new bound on the trajectories of the Lorenz system is derived. This result is useful to show that the transverse stability of the origin in two Lorenz systems coupled in a drive-response manner is a necessary and sufficient condition for global asymptotic synchrony of the two systems, and to simplify the derivation of the upper bound to the Hausdorff dimension of the Lorenz attractor.
Original languageEnglish
Pages (from-to)1597-1605
JournalNonlinearity
Volume16
Issue number5
DOIs
Publication statusPublished - 2003

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