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 :
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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 |
| Tartalmi kivonat: | 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. |
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| Terjedelem/Fizikai jellemzők: | 19 |
| ISSN: | 1417-3875 |