Belyakov Homoclinic Bifurcations in a Tritrophic Food Chain Model
Yu. A. Kuznetsov, O. De Feo, S. Rinaldi
Source record
Source: Crossref
Published: Jan 1, 2001
DOI: 10.1137/s0036139900378542
Open original source ↗Source abstract
Complex dynamics of the most frequently used tritrophic food chain model are investigated in this paper. First it is shown that the model admits a sequence of pairs of Belyakov bifurcations (codimension-two homoclinic orbits to a critical node). Then fold and period-doubling cycle bifurcation curves associated to each pair of Belyakov points are computed and analyzed. The overall bifurcation scenario explains why stable limit cycles and strange attractors with different geometries can coexist. The analysis is conducted by combining numerical continuation techniques with theoretical arguments.
Evidence graph
No public relationships recorded yet.
Integrity note: This page is a factual metadata record created by deterministic ingestion. It is not a claim that the work moves a mathematical frontier or has been independently verified.