Corpus ID: 115156955

Bifurcations, Schwarzian derivatives and Feigenbaum constant revisited

  title={Bifurcations, Schwarzian derivatives and Feigenbaum constant revisited},
  author={Andrei Vieru},
  • Andrei Vieru
  • Published 2008
  • Mathematics
  • The main purpose is to show that Feigenbaum delta constant is much more universal than believed. The paper is mainly devoted to period-doubling processes in families in one parameter of endomorphisms of the interval and consider generalizations of the Feigenbaum delta constant. We formulate the so-called parenthesis permeability hypothesis, a conjecture that holds for all types of bifurcation (i.e. for flip, fold, pitchfork and transcritical bifurcations, which states that under some conditions… CONTINUE READING