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

A.Y. Pogromsky; G. Santoboni; H. Nijmeijer

doi:10.1088/0951-7715%2F16%2F5%2F303

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

A.Y. Pogromsky, G. Santoboni, H. Nijmeijer

Onderzoeksoutput: Bijdrage aan tijdschrift › Tijdschriftartikel › Academic › peer review

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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.

Originele taal-2	Engels
Pagina's (van-tot)	1597-1605
Tijdschrift	Nonlinearity
Volume	16
Nummer van het tijdschrift	5
DOI's	https://doi.org/10.1088/0951-7715%2F16%2F5%2F303 https://doi.org/10.1088/0951-7715/16/5/303
Status	Gepubliceerd - 2003

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title = "An ultimate bound on the trajectories of Lorenz system and its applications",

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.",

author = "A.Y. Pogromsky and G. Santoboni and H. Nijmeijer",

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AU - Nijmeijer, H.

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AB - 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.

U2 - 10.1088/0951-7715%2F16%2F5%2F303

DO - 10.1088/0951-7715%2F16%2F5%2F303

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JO - Nonlinearity

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IS - 5

ER -

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

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