Poincaré Map Construction for Some Classic Two Predators-One Prey Systems.

Authors :: Osipov, Alexandr V.
Söderbacka, Gunnar
Source :: International Journal of Bifurcation & Chaos in Applied Sciences & Engineering. Jul2017, Vol. 27 Issue 8, p-1. 9p.
Publication Year :: 2017
Abstract: In this paper, we consider a family of systems with two predators feeding on one prey. We show how to construct a positively invariant set in which it is possible to define a Poincaré map for examining the behavior of the system, mainly in the case when both predators survive. We relate it to examples from earlier works. [ABSTRACT FROM AUTHOR]

Subjects :: *POINCARE invariance
*PARTICLE symmetries
*INVARIANT manifolds
*INVARIANTS (Mathematics)
*FLUID dynamics

Language :: English
ISSN :: 02181274
Volume :: 27
Issue :: 8
Database :: Academic Search Index
Journal :: International Journal of Bifurcation & Chaos in Applied Sciences & Engineering
Publication Type :: Academic Journal
Accession number :: 124543243
Full Text :: https://doi.org/10.1142/S0218127417501164