The structure of mode-locked regions in quasi-periodically forced circle maps
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چکیده
Using a mixture of analytic and numerical techniques we show that the mode-locked regions of quasi-periodically forced Arnold circle maps form complicated sets in parameter space. These sets are characterized by ‘pinched-off’ regions, where the width of the mode-locked region becomes very small. By considering general quasi-periodically forced circle maps we show that this pinching occurs in a broad class of such maps having a simple symmetry. © 2000 Elsevier Science B.V. All rights reserved. PACS: 05.45.+b
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تاریخ انتشار 1999