 2023

Original solutions to all three questions of the nonlinear systems course of the University of Oxford Part B examination, held on 30 May 2023. Source: released examination PDF, bundle pages 236–238; paper pages 1–3. Numbering follows the original paper. In Question 1 the displayed centre manifold dynamics are a truncated local approximation; the neglected terms are specified below. At Question 2's parameter value $\mu =-1$, the fixed-point multipliers have a strong resonance of a planar map.