Talk:Circle map

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[edit] Title

Great article; I learnt that Arnol'd tongues can in fact be described in very simple language. However, I have the distinct impression that "circle map" refers to any map from the circle to itself. I think the map described here is usually called the "sine circle map" (though I've also seen "sine map"). -- Jitse Niesen (talk) 11:52, 19 January 2006 (UTC)

I think the chaos literature is pretty consisent in using "circle map" to refer to only this map, although I've seen the more general definition on occasion. The only support I have for this at the moment is the MathWorld article, and the refs that it cites. linas 23:36, 19 January 2006 (UTC)

I agree with Nitse. A "circle map" can be any map of the circle. The confusion might come from the fact that the standard maps described by Arnol'd essentially model the behavior of many circle maps, up to topological conjugacy.

[edit] Beating heart model

How does the circle map correspond to a model of the beating heart? If this could be explained briefly and in language suitable for a layman, possibly in a section of its own (near the end of the article?), that would be excellent. --Quuxplusone 17:14, 16 April 2006 (UTC)