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Randomization of Sharkovskii-type theorems |
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| Authors: | Jan Andres |
| Affiliation: | Department of Mathematical Analysis, Faculty of Science, Palacky University, Tomkova~40, 779 00~Olomouc-Hejcín, Czech Republic |
| Abstract: | We formulate an abstract scheme for the randomization of Shar- kovskii-type theorems via transformation to the deterministic case. In particular, Sharkovskii-type theorems for scalar differential equations can be randomized in this way. A random version of the standard Sharkovskii theorem is presented explicitly. Many remarks, comments and illustrating examples are supplied. |
| Keywords: | Sharkovskii-type theorems randomization transformation to deterministic case random periodic orbits transversal maps |
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