<mods:mods version="3.3" xsi:schemaLocation="http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-3.xsd" xmlns:mods="http://www.loc.gov/mods/v3" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance"><mods:titleInfo><mods:title>Chaotic behavior in an advertising diffusion model</mods:title></mods:titleInfo><mods:name type="personal"><mods:namePart type="given">G.</mods:namePart><mods:namePart type="family">Feichtinger</mods:namePart><mods:role><mods:roleTerm type="text">author</mods:roleTerm></mods:role></mods:name><mods:name type="personal"><mods:namePart type="given">L.L.</mods:namePart><mods:namePart type="family">Ghezzi</mods:namePart><mods:role><mods:roleTerm type="text">author</mods:roleTerm></mods:role></mods:name><mods:name type="personal"><mods:namePart type="given">C.</mods:namePart><mods:namePart type="family">Piccardi</mods:namePart><mods:role><mods:roleTerm type="text">author</mods:roleTerm></mods:role></mods:name><mods: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.</mods:abstract><mods:originInfo><mods:dateIssued encoding="iso8601">1995-02</mods:dateIssued></mods:originInfo><mods:originInfo><mods:publisher>World Scientific Publishing</mods:publisher></mods:originInfo><mods:genre>Article</mods:genre></mods:mods>