UNSPECIFIED (1994) THE ONE-HOLE TO 2-HOLE TRANSITION FOR CANTORI. PHYSICA D, 71 (4). pp. 372-389. ISSN 0167-2789

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Abstract

The gaps in a cantorus come in orbits, which we call ''holes''. In the space of parameters (a, b) for the ''two-harmonic'' reversible area-preserving twist map family, y' = y - a/2pi sin 2pix - b/4pi sin 4pix, x' = x + y' (mod 1) , application of the idea of the anti-integrable limit establishes that there must-be one to two-hole transitions for cantori of all irrational rotation numbers. We have numerically located a curve in parameter space across which a one-hole cantorus of golden rotation number develops a second hole, and we present results on scaling behaviour of several quantities near this interesting transition.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics Q Science > QC Physics
Journal or Publication Title:	PHYSICA D
Publisher:	ELSEVIER SCIENCE BV
ISSN:	0167-2789
Date:	15 March 1994
Volume:	71
Number:	4
Number of Pages:	18
Page Range:	pp. 372-389
Publication Status:	Published
URI:	http://wrap.warwick.ac.uk/id/eprint/20733

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