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.