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Connectedness of the Arnold Tongues for Double Standard Maps
| Content Provider | Semantic Scholar |
|---|---|
| Author | Dezotti, Alexandre |
| Copyright Year | 2009 |
| Abstract | We show that Arnold tongues for the family of double standard maps fa,b(x) = 2x + a − (b/π)sin(2πx) are connected. This proof is accomplished in the complex domain by means of quasiconformal techniques and depends partly upon the fact that the complexification of fa,b, has only one critical orbit taking symmetry into account. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://arxiv.org/pdf/0904.0593v2.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Arnold tongue Map |
| Content Type | Text |
| Resource Type | Article |
