English

Existence of a Lorenz renormalization fixed point of an arbitrary critical order

Dynamical Systems 2012-05-10 v3 Complex Variables

Abstract

We present a proof of the existence of a renormalization fixed point for Lorenz maps of the simplest non-unimodal combinatorial type ({0,1},{1,0,0}), and with a critical point of arbitrary order rho>1.

Keywords

Cite

@article{arxiv.1107.4507,
  title  = {Existence of a Lorenz renormalization fixed point of an arbitrary critical order},
  author = {Denis Gaidashev and Bjorn Winckler},
  journal= {arXiv preprint arXiv:1107.4507},
  year   = {2012}
}