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Genericity of mode-locking for quasiperiodically forced circle maps

Genericity of mode-locking for quasiperiodically forced circle maps

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_2074924540

Genericity of mode-locking for quasiperiodically forced circle maps

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Full title

Genericity of mode-locking for quasiperiodically forced circle maps

Publisher

Ithaca: Cornell University Library, arXiv.org

Journal title

arXiv.org, 2017-01

Language

English

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Publication information

Publisher

Ithaca: Cornell University Library, arXiv.org

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Scope and Contents

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...

Alternative Titles

Full title

Genericity of mode-locking for quasiperiodically forced circle maps

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Record Identifier

TN_cdi_proquest_journals_2074924540

Permalink

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_2074924540

Other Identifiers

E-ISSN

2331-8422

DOI

10.48550/arxiv.1607.01700

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