Hyperbolicity conditions for the Lorenz model

Jakov G. Sinai; Elena B. Vul

doi:10.1016/0167-2789(81)90053-1

Hyperbolicity conditions for the Lorenz model

Jakov G. Sinai, Elena B. Vul

Research output: Contribution to journal › Article › peer-review

21 Scopus citations

Abstract

It was shown earlier by Bunimovich and Sinai that the Lorenz Model has a natural invariant measure if the so-called hyperbolicity conditions hold. In this paper we represent results of a numerical verification of the hyperbolicity conditions for the Lorenz model with the values of the parameters b{cyrillic} = 6, r = 28, b = 8 3.

Original language	English (US)
Pages (from-to)	3-7
Number of pages	5
Journal	Physica D: Nonlinear Phenomena
Volume	2
Issue number	1
DOIs	https://doi.org/10.1016/0167-2789(81)90053-1
State	Published - Jan 1981
Externally published	Yes

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics
Condensed Matter Physics
Applied Mathematics

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10.1016/0167-2789(81)90053-1

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title = "Hyperbolicity conditions for the Lorenz model",

abstract = "It was shown earlier by Bunimovich and Sinai that the Lorenz Model has a natural invariant measure if the so-called hyperbolicity conditions hold. In this paper we represent results of a numerical verification of the hyperbolicity conditions for the Lorenz model with the values of the parameters b{cyrillic} = 6, r = 28, b = 8 3.",

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AB - It was shown earlier by Bunimovich and Sinai that the Lorenz Model has a natural invariant measure if the so-called hyperbolicity conditions hold. In this paper we represent results of a numerical verification of the hyperbolicity conditions for the Lorenz model with the values of the parameters b{cyrillic} = 6, r = 28, b = 8 3.

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Hyperbolicity conditions for the Lorenz model

Abstract

All Science Journal Classification (ASJC) codes

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