On the global stability of periodic Ricker maps
We find the exact region of global stability for the 2-periodic Ricker difference equation, showing that a 2-periodic solution is globally asymptotically stable whenever it is locally asymptotically stable and the equation does not have more 2-periodic solutions. We conjecture that this property hol...
Elmentve itt :
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| Dokumentumtípus: | Folyóirat |
| Megjelent: |
2016
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| Sorozat: | Electronic journal of qualitative theory of differential equations : special edition
2 No. 76 |
| Kulcsszavak: | Differenciálegyenlet |
| doi: | 10.14232/ejqtde.2016.1.76 |
| Online Access: | http://acta.bibl.u-szeged.hu/73743 |
| Tartalmi kivonat: | We find the exact region of global stability for the 2-periodic Ricker difference equation, showing that a 2-periodic solution is globally asymptotically stable whenever it is locally asymptotically stable and the equation does not have more 2-periodic solutions. We conjecture that this property holds for the general p-periodic Ricker difference equation, and in particular we prove it for p = 3. |
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| Terjedelem/Fizikai jellemzők: | 8 |
| ISSN: | 1417-3875 |