학술논문
Applications of a new ultimate bound on the trajectories of the Lorenz system to synchronization and estimation of the Hausdorff dimension
Document Type
Conference
Author
Source
2003 International Conference Physics and Control. Proceedings Physics and control Physics and Control, 2003. Proceedings. 2003 International Conference. 2:626-631 vol.2 2003
Subject
Language
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. It also enables to simplify the derivation of an upper bound of the Hausdorff dimension of the Lorenz attractor.