Codim 2 bifurcations of planar heteroclinic contours

dc.rights.license	CC-BY-NC-ND
dc.contributor.advisor	Kuznetsov, Yu. A.
dc.contributor.author	Hooyman, J.
dc.date.accessioned	2021-09-07T18:02:09Z
dc.date.available	2021-09-07T18:02:09Z
dc.date.issued	2020
dc.identifier.uri	https://studenttheses.uu.nl/handle/20.500.12932/1143
dc.description.abstract	Smooth planar vector fields containing two hyperbolic saddles may contain contours formed by heteroclinic connections between these saddles. This thesis presents an overview of the bifurcations of these contours based on publications by J.W. Reyn and A. Dukov. Using truncated correspondence maps, all relevant bifurcations diagrams are rederived. Additionally, two new explicit polynomial systems containing such contours are derived which are studied using the bifurcation software Matcont.
dc.description.sponsorship	Utrecht University
dc.format.extent	2781713
dc.format.mimetype	application/pdf
dc.language.iso	en
dc.title	Codim 2 bifurcations of planar heteroclinic contours
dc.type.content	Bachelor Thesis
dc.rights.accessrights	Open Access
dc.subject.keywords	Heteroclinic contours, global bifurcations, planar systems
dc.subject.courseuu	Mathematical Sciences