eprintid: 4951
rev_number: 20
eprint_status: archive
userid: 351
dir: disk0/00/00/49/51
datestamp: 2016-01-15 02:07:51
lastmod: 2021-08-27 17:15:45
status_changed: 2016-01-15 02:07:51
type: monograph
metadata_visibility: show
item_issues_count: 2
creators_name: Feo, O. de
creators_name: Rinaldi, S.
creators_id: 7286
title: Singular Homoclinic Bifurcations in Tri-trophic Food Chains
ispublished: pub
internal_subjects: iis_met
internal_subjects: iis_mod
internal_subjects: iis_sys
divisions: prog_dyn
abstract: The Rosenzweig-MacArthur food chain model is proved to have homoclinic orbits. The proof is in two steps. First we use a geometric approach based on singular perturbation and detect singular homoclinic orbits as well as parameter combinations for which these orbits exist. Then we show, numerically, that for slightly different parameter values there exist also non singular homoclinic orbits which tend toward the singular ones when the time responses of the three trophic levels are extremely diversified. The analysis is performed systematically, without exploiting too deeply the mathematical structure of the Rosenzweig-MacArthur model. This is done intentionally, in order to facilitate readers interested more in the methodology than in the application to food chains.
date: 1996-07
date_type: published
publisher: WP-96-076
iiasapubid: WP-96-076
price: 10
creators_browse_id: 253
full_text_status: public
monograph_type: working_paper
place_of_pub: IIASA, Laxenburg, Austria
pages: 32
coversheets_dirty: FALSE
fp7_type: info:eu-repo/semantics/book
citation:   Feo, O. de & Rinaldi, S. <https://pure.iiasa.ac.at/view/iiasa/253.html>  (1996).  Singular Homoclinic Bifurcations in Tri-trophic Food Chains.   IIASA Working Paper. IIASA, Laxenburg, Austria: WP-96-076     
document_url: https://pure.iiasa.ac.at/id/eprint/4951/1/WP-96-076.pdf