• Corpus ID: 239024679

Critical transitions in piecewise uniformly continuous concave quadratic ordinary differential equations

  title={Critical transitions in piecewise uniformly continuous concave quadratic ordinary differential equations},
  author={Iacopo P. Longo and Carmen A. N'unez and Rafael Obaya},
A critical transition for a system modelled by a concave quadratic scalar ordinary differential equation occurs when a small variation of the coefficients changes dramatically the dynamics, from the existence of an attractorrepeller pair of hyperbolic solutions to the lack of bounded solutions. In this paper, a tool to analyze this phenomenon for asymptotically nonautonomous ODEs with bounded uniformly continuous or bounded piecewise uniformly continuous coefficients is described, and used to… 

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