| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 843450 | Nonlinear Analysis: Theory, Methods & Applications | 2007 | 13 Pages |
Abstract
It is proved that the cookie-cutter set in R is structurally instable in C1 topology, that means for the invariant set E of the IFS {fi}i, we can always perturb {fi}i arbitrarily small in C1 topology to provide an IFS {gi}i with its invariant set F, such that dimHE=dimHF and E,F are not Lipschitz equivalent.
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Authors
Li-Feng Xi,