eprintid: 4264 rev_number: 5 eprint_status: archive userid: 351 dir: disk0/00/00/42/64 datestamp: 2016-01-15 02:05:06 lastmod: 2021-08-27 17:15:03 status_changed: 2016-01-15 02:05:06 type: article metadata_visibility: show item_issues_count: 1 creators_name: Feichtinger, G. creators_name: Ghezzi, L.L. creators_name: Piccardi, C. creators_id: 1555 title: Chaotic behavior in an advertising diffusion model ispublished: pub internal_subjects: iis_mod internal_subjects: iis_pop internal_subjects: iis_met divisions: prog_pop 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. date: 1995-02 date_type: published publisher: World Scientific Publishing id_number: 10.1142/S021812749500020X iiasapubid: XJ-95-069 iiasa_bibref: International Journal of Bifurcation and Chaos; 5(1):255-263 (February 1995) iiasa_bibnotes: [doi:10.1142/S021812749500020X] creators_browse_id: 2589 full_text_status: none publication: International Journal of Bifurcation and Chaos volume: 5 number: 1 pagerange: 255-263 refereed: TRUE issn: 0218-1274 coversheets_dirty: FALSE fp7_type: info:eu-repo/semantics/article citation: Feichtinger, G. , 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 .