A note on singularities of 3-flows in \({\mathcal G}^1(M)\) (Q2752320)
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scientific article; zbMATH DE number 1660831
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on singularities of 3-flows in \({\mathcal G}^1(M)\) |
scientific article; zbMATH DE number 1660831 |
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4 February 2002
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vector fields
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periodic orbits
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Lorenz attractor
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0.8978641
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0.8911486
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0.88702726
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0.88378125
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0.8799586
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0.87357986
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0.8714293
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A note on singularities of 3-flows in \({\mathcal G}^1(M)\) (English)
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The goal of this paper is to characterize the singularities of vector fields in the space of dynamical systems known as \({\mathfrak A}^1(M)\), where \(M\) is an \(n\)-dimensional compact smooth manifold without boundary. The author assumes that \(M\) is 3-dimensional and shows that singularities of vector fields \({\mathfrak A}^1(M)\) accumulated by the periodic orbits are generally the same as in the geometric Lorenz attractor.
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