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...

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Bibliographic Details
Main Author: Szczelina Robert
Format: Serial
Published: 2016
Series: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
Description
Summary: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.
Physical Description:19
ISSN:1417-3875