A computer assisted proof of multiple periodic orbits in some first order non-linear delay differential equation
We present an application of a recently developed algorithm for rigorous integration forward in time of delay differential equations (DDEs) to a computer assisted proof of the existence of several periodic orbits in a DDE obtained by a singular perturbation limit method from the classical logistic m...
Elmentve itt :
| Szerző: | |
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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. 83 |
| Kulcsszavak: | Differenciálegyenlet - késleltetett |
| doi: | 10.14232/ejqtde.2016.1.83 |
| Online Access: | http://acta.bibl.u-szeged.hu/73750 |
| LEADER | 01219nas a2200205 i 4500 | ||
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| 005 | 20211112094210.0 | ||
| 008 | 211111s2016 hu o 0|| eng d | ||
| 022 | |a 1417-3875 | ||
| 024 | 7 | |a 10.14232/ejqtde.2016.1.83 |2 doi | |
| 040 | |a SZTE Egyetemi Kiadványok Repozitórium |b hun | ||
| 041 | |a eng | ||
| 100 | 1 | |a Szczelina Robert | |
| 245 | 1 | 2 | |a A computer assisted proof of multiple periodic orbits in some first order non-linear delay differential equation |h [elektronikus dokumentum] / |c Szczelina Robert |
| 260 | |c 2016 | ||
| 300 | |a 19 | ||
| 490 | 0 | |a Electronic journal of qualitative theory of differential equations : special edition |v 2 No. 83 | |
| 520 | 3 | |a We present an application of a recently developed algorithm for rigorous integration forward in time of delay differential equations (DDEs) to a computer assisted proof of the existence of several periodic orbits in a DDE obtained by a singular perturbation limit method from the classical logistic map. The proofs are done near the parameter value for which multistability was numerically observed. | |
| 695 | |a Differenciálegyenlet - késleltetett | ||
| 856 | 4 | 0 | |u http://acta.bibl.u-szeged.hu/73750/1/ejqtde_spec_002_2016_083.pdf |z Dokumentum-elérés |