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

D.j.w. Simpson, P.a. Glendinning

Research output: Contribution to journalArticlepeer-review

Abstract

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 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.

Original languageEnglish
Article number134131
JournalPhysica D: Nonlinear Phenomena
Volume462
Early online date15 Mar 2024
DOIs
Publication statusE-pub ahead of print - 15 Mar 2024

Keywords

  • robust chaos
  • piecewise-smooth systems
  • hybrid systems
  • border-collision bifurcation
  • Border-collision bifurcation
  • Piecewise-smooth systems
  • Hybrid systems
  • Robust chaos

Fingerprint

Dive into the research topics of 'Inclusion of higher-order terms in the border-collision normal form: Persistence of chaos and applications to power converters'. Together they form a unique fingerprint.

Cite this