relation: https://pure.iiasa.ac.at/id/eprint/4264/
title: Chaotic behavior in an advertising diffusion model
creator: Feichtinger, G.
creator: Ghezzi, L.L.
creator: Piccardi, C.
description: The paper is concerned with an advertising diffusion model where a firm devotes a fixed proportion of sales to advertising, while customers go through a two-stage adoption process. The model takes the form of a second-order, time-invariant, nonlinear dynamic system, in which a homoclinic bifurcation to infinity is shown to exist. Allowance is subsequently made for a seasonal fluctuation in the firm's advertising rate. A bifurcation study of the periodic solutions is then accomplished by means of a continuation procedure. Emphasis is placed on the emergence of chaos. Only the chaotic solutions stemming from a cascade of period doublings appear to be economically meaningful.
publisher: World Scientific Publishing
date: 1995-02
type: Article
type: PeerReviewed
identifier:   Feichtinger, G. <https://pure.iiasa.ac.at/view/iiasa/2589.html>, Ghezzi, L.L., & Piccardi, C.  (1995).  Chaotic behavior in an advertising diffusion model.   International Journal of Bifurcation and Chaos 5 (1) 255-263. 10.1142/S021812749500020X <https://doi.org/10.1142/S021812749500020X>.       
relation: 10.1142/S021812749500020X
identifier: 10.1142/S021812749500020X
doi: 10.1142/S021812749500020X