Torus birth bifurcations in a DC/DC converter

@article{Zhusubaliyev2006TorusBB,
  title={Torus birth bifurcations in a DC/DC converter},
  author={Zhanybai T. Zhusubaliyev and Erik Mosekilde},
  journal={IEEE Transactions on Circuits and Systems I: Regular Papers},
  year={2006},
  volume={53},
  pages={1839-1850}
}
Considering a pulsewidth modulated dc/dc converter as an example, this paper describes a border-collision bifurcation that can lead to the appearance of quasi-periodicity in piecewise-smooth dynamical systems. We demonstrate how a two-dimensional torus can arise from a periodic orbit through a bifurcation in which two complex-conjugate Poincare… CONTINUE READING

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