A mathematical framework for critical transitions: Bifurcations, fast–slow systems and stochastic dynamics

@article{Khn2011AMF,
  title={A mathematical framework for critical transitions: Bifurcations, fast–slow systems and stochastic dynamics},
  author={C. K{\"u}hn},
  journal={Physica D: Nonlinear Phenomena},
  year={2011},
  volume={240},
  pages={1020-1035}
}
  • C. Kühn
  • Published 2011
  • Mathematics, Physics
  • Physica D: Nonlinear Phenomena
  • Abstract Bifurcations can cause dynamical systems with slowly varying parameters to transition to far-away attractors. The terms “critical transition” or “tipping point” have been used to describe this situation. Critical transitions have been observed in an astonishingly diverse set of applications from ecosystems and climate change to medicine and finance. The main goal of this paper is to give an overview which standard mathematical theories can be applied to critical transitions. We shall… CONTINUE READING
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