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 proper...
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University of Szeged
2016-09-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
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| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=5295 |
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doaj-d40cd4c44fb34b0dbf258cb4b4d2271b2021-07-14T07:21:28ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38751417-38752016-09-012016761810.14232/ejqtde.2016.1.765295On the global stability of periodic Ricker mapsEduardo Liz0University of Vigo, Vigo, SpainWe 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 $p=3$.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=5295periodic ricker mapdifference equationsglobal stability |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Eduardo Liz |
| spellingShingle |
Eduardo Liz On the global stability of periodic Ricker maps Electronic Journal of Qualitative Theory of Differential Equations periodic ricker map difference equations global stability |
| author_facet |
Eduardo Liz |
| author_sort |
Eduardo Liz |
| title |
On the global stability of periodic Ricker maps |
| title_short |
On the global stability of periodic Ricker maps |
| title_full |
On the global stability of periodic Ricker maps |
| title_fullStr |
On the global stability of periodic Ricker maps |
| title_full_unstemmed |
On the global stability of periodic Ricker maps |
| title_sort |
on the global stability of periodic ricker maps |
| publisher |
University of Szeged |
| series |
Electronic Journal of Qualitative Theory of Differential Equations |
| issn |
1417-3875 1417-3875 |
| publishDate |
2016-09-01 |
| description |
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 $p=3$. |
| topic |
periodic ricker map difference equations global stability |
| url |
http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=5295 |
| work_keys_str_mv |
AT eduardoliz ontheglobalstabilityofperiodicrickermaps |
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1721303643646328832 |