Genericity of mode-locking for quasiperiodically forced circle maps
Genericity of mode-locking for quasiperiodically forced circle maps
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Author / Creator
Wang, Jing , Zhou, Qi and Jäger, Tobias
Publisher
Ithaca: Cornell University Library, arXiv.org
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Language
English
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Ithaca: Cornell University Library, arXiv.org
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Contents
We show that a generic quasiperiodically forced circle homeomorphism is mode-locked: the rotation number in the fibres is rationally related to the rotation number in the base and it is stable under small perturbations of the system. As a consequence, this implies that for a generic parameter family of quasiperiodically forced circle homeomorphisms...
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Full title
Genericity of mode-locking for quasiperiodically forced circle maps
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TN_cdi_proquest_journals_2074924540
Permalink
https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_2074924540
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E-ISSN
2331-8422
DOI
10.48550/arxiv.1607.01700