Period-doubling in two-parameter families

  title={Period-doubling in two-parameter families},
  author={Alison M. Davie and Tarini Kumar Dutta},
Abstract We study two aspects of the cross-over from dissipative to area-preserving behaviour for period-doubling cascades. First, we consider the smoothness of the limiting bifurcation curve at the crossover point; we make a conjecture and give supporting numerical evidence. Second, we study the spectrum of the linearised doubling operator, acting on arbitrary mappings, and show that it can be expressed in terms of the spectrum of its restriction to area-preserving mappings. 

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