• Corpus ID: 244527515

Inclusion of higher-order terms in the border-collision normal form: persistence of chaos and applications to power converters

@inproceedings{Simpson2021InclusionOH,
  title={Inclusion of higher-order terms in the border-collision normal form: persistence of chaos and applications to power converters},
  author={David J. W. Simpson and Paul Glendinning},
  year={2021}
}
The 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 twodimensional 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… 

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