RT Journal Article
SR 00
ID 10.1142/S021812749500020X
A1 Feichtinger, G.
A1 Ghezzi, L.L.
A1 Piccardi, C.
T1 Chaotic behavior in an advertising diffusion model
JF International Journal of Bifurcation and Chaos
YR 1995
FD 1995-02
VO 5
IS 1
SP 255
OP 263
AB 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.
PB World Scientific Publishing
SN 0218-1274
LK https://pure.iiasa.ac.at/id/eprint/4264/