@article{iiasa4264, volume = {5}, number = {1}, month = {February}, title = {Chaotic behavior in an advertising diffusion model}, publisher = {World Scientific Publishing}, year = {1995}, journal = {International Journal of Bifurcation and Chaos}, doi = {10.1142/S021812749500020X}, pages = {255--263}, url = {https://pure.iiasa.ac.at/id/eprint/4264/}, issn = {0218-1274}, abstract = {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.}, author = {Feichtinger, G. and Ghezzi, L. L. and Piccardi, C.} }