Simpson DJWGlendinning PA2024-10-232024-10-232024-06Simpson DJW, Glendinning PA. (2024). Inclusion of higher-order terms in the border-collision normal form: Persistence of chaos and applications to power converters. Physica D: Nonlinear Phenomena. 462.0167-2789https://mro.massey.ac.nz/handle/10179/71825The dynamics near a border-collision bifurcation are approximated to leading order by a continuous, piecewise-linear map. The purpose of this paper is to consider the higher-order terms that are neglected when forming this approximation. For two-dimensional maps we establish conditions under which a chaotic attractor created in a border-collision bifurcation persists for an open interval of parameters beyond the bifurcation. We apply the results to a prototypical power converter model to prove the model exhibits robust chaos.(c) 2024 The Author/sCC BY 4.0https://creativecommons.org/licenses/by/4.0/Robust chaosPiecewise-smooth systemsHybrid systemsBorder-collision bifurcationJournal article10.1016/j.physd.2024.1341311872-8022journal-article134131S0167278924000824