Zur globalen Stabilität des Lorenz-Systems

Leonov, Gennadij A.; Reitmann, Volker

doi:10.1007/978-3-322-91271-8_2

Zur globalen Stabilität des Lorenz-Systems

Gennadij A. Leonov &
Volker Reitmann

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Part of the book series: Teubner-Texte zur Mathematik ((TTZM))

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Betrachtet wird das Lorenz-System [45,81]

$$\mathop {{x_1}}\limits^ \bullet = - \sigma ({x_1} - {y_1}),\,\mathop y\limits^ \bullet = - {x_1}{z_1} + {r_1}{x_1} - {y_1},\;{\mathop z\limits^ \bullet _{_1}} = {x_1}{y_1} - {b_1}{z_1},$$

(1.1)

wobei o₁, r₁ und b₁feste positive Zahlen sind und r₁>1 ist.

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Authors

Gennadij A. Leonov
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Volker Reitmann
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Leonov, G.A., Reitmann, V. (1987). Zur globalen Stabilität des Lorenz-Systems. In: Attraktoreingrenzung für nichtlineare Systeme. Teubner-Texte zur Mathematik. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-322-91271-8_2

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DOI: https://doi.org/10.1007/978-3-322-91271-8_2
Publisher Name: Vieweg+Teubner Verlag, Wiesbaden
Print ISBN: 978-3-322-00427-7
Online ISBN: 978-3-322-91271-8
eBook Packages: Springer Book Archive

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