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...

Teljes leírás

Elmentve itt :
Bibliográfiai részletek
Szerző: Szczelina Robert
Dokumentumtípus: Folyóirat
Megjelent: 2016
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
Leíró adatok
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.
Terjedelem/Fizikai jellemzők:19
ISSN:1417-3875