Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8254903 | Chaos, Solitons & Fractals | 2015 | 5 Pages |
Abstract
Let f be a continuous self-mapping of a compact metric space X, an Ï-limit set of f is said to be totally periodic if it is composed of periodic points. We prove that a totally periodic Ï-limit set of one-to-one continuous self mapping of regular continuum is finite. In the other hand, we built a continuous self-mapping (not one-to-one) of a dendrite having a totally periodic Ï-limit set with unbounded periods.
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Statistical and Nonlinear Physics
Authors
Ghassen Askri, Issam Naghmouchi,