| dc.rights.license | CC-BY-NC-ND | |
| dc.contributor.advisor | Kuznetsov, Yuri | |
| dc.contributor.author | Delmeire, Nathalie | |
| dc.date.accessioned | 2024-07-11T12:01:46Z | |
| dc.date.available | 2024-07-11T12:01:46Z | |
| dc.date.issued | 2024 | |
| dc.identifier.uri | https://studenttheses.uu.nl/handle/20.500.12932/46670 | |
| dc.description.abstract | The Bautin bifurcation is a well-studied codim 2 bifurcation where the system has an equilibrium with a pair of simple purely imaginary eigenvalues and the vanishing first Lyapunov coefficient. Generically, a codim1 bifurcation curve of nonhyperbolic limit cycles (LPC curve) emanates from a Bautin point. In this thesis, we derive higher-order predictors for the LPC curve in ODEs and DDEs for the first time by performing the parameter-dependent center manifold reduction near the Bautin point. | |
| dc.description.sponsorship | Utrecht University | |
| dc.language.iso | EN | |
| dc.subject | The Bautin bifurcation is a well-studied codim 2 bifurcation where the system has an equilibrium with a pair of simple purely imaginary eigenvalues and the vanishing first Lyapunov coefficient. Generically, a codim1 bifurcation curve of nonhyperbolic limit cycles (LPC curve) emanates from a Bautin point. In this thesis, we derive higher-order predictors for the LPC curve in ODEs and DDEs for the first time by performing the parameter-dependent center manifold reduction near the Bautin point. | |
| dc.title | Higher order predictors for the LPC curve near Bautin bifurcation in ODEs and DDEs | |
| dc.type.content | Bachelor Thesis | |
| dc.rights.accessrights | Open Access | |
| dc.subject.courseuu | Wiskunde | |
| dc.thesis.id | 33371 | |
