Early-warning signs for pattern-formation in stochastic partial differential equations

  title={Early-warning signs for pattern-formation in stochastic partial differential equations},
  author={K. Gowda and C. Kuehn},
  journal={Commun. Nonlinear Sci. Numer. Simul.},
  • K. Gowda, C. Kuehn
  • Published 2015
  • Mathematics, Physics, Computer Science
  • Commun. Nonlinear Sci. Numer. Simul.
  • Abstract There have been significant recent advances in our understanding of the potential use and limitations of early-warning signs for predicting drastic changes, so called critical transitions or tipping points, in dynamical systems. A focus of mathematical modeling and analysis has been on stochastic ordinary differential equations, where generic statistical early-warning signs can be identified near bifurcation-induced tipping points. In this paper, we outline some basic steps to extend… CONTINUE READING
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