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
Subjects:	Q Science > QC Physics
Journal or Publication Title:	COMMUNICATIONS IN MATHEMATICAL PHYSICS
Publisher:	SPRINGER VERLAG
ISSN:	0010-3616
Date:	March 1996
Volume:	176
Number:	2
Number of Pages:	33
Page Range:	pp. 273-305
Publication Status:	Published
URI:	http://wrap.warwick.ac.uk/id/eprint/19039

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