Summary

International Symposium on Nonlinear Theory and Its Applications

2015

Session Number:A3L-D

Session:

Number:A3L-D-1

Exact Period-Three Solutions in the Delayed Logistic Map

Maria Belen D'Amico,  Guillermo Luis Calandrini,  Jorge Luis Moiola,  

pp.165-168

Publication Date:2015/12/1

Online ISSN:2188-5079

DOI:10.34385/proc.47.A3L-D-1

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Summary:
Analytical and exact solutions of the period-three orbits exhibited by the delayed logistic maps are presented. Expressions are obtained by applying the harmonic balance method and Grobner basis to an equivalent single-input single-output representation of the system. A detailed study of the effect of the delays on the appearance of bistability phenomenon is also included.