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Asymptotic formulae for Lorenz and horseshoe knots
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UNSPECIFIED (1996) Asymptotic formulae for Lorenz and horseshoe knots. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 176 (2). pp. 273-305. ISSN 0010-3616.
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Abstract
We derive various asymptotic formulae for the numbers of closed orbits in the Lorenz and Horseshoe templates with given knot invariants, (for example braid index and genus). We indicate how these estimates can be applied to more complicated flows by giving a bound for the genus of knotted periodic orbits in the 'figure of eight' template.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QC Physics | ||||
Journal or Publication Title: | COMMUNICATIONS IN MATHEMATICAL PHYSICS | ||||
Publisher: | SPRINGER VERLAG | ||||
ISSN: | 0010-3616 | ||||
Official Date: | March 1996 | ||||
Dates: |
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Volume: | 176 | ||||
Number: | 2 | ||||
Number of Pages: | 33 | ||||
Page Range: | pp. 273-305 | ||||
Publication Status: | Published |
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