Stability of Rotation Pairs of Cycles for the Interval Maps
Let C0(I) be the set of all continuous self-maps of the closed interval I, and P(u,v)={f∈C0(I):f has a cycle with rotation pair (u,v)} for any positive integer v>u. In this paper, we prove that if (2mns,2mnt)⊣(γ,λ), then P(2mns,2mnt)⊂ int P(γ,λ), where m≥0 is integer, n≥1 odd, 1≤s<t with s,t...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2011-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2011/931484 |