Constrained basin stability for studying transient phenomena in dynamical systems.

  title={Constrained basin stability for studying transient phenomena in dynamical systems.},
  author={Adrian van Kan and Jannes Jegminat and Jonathan F. Donges and J{\"u}rgen Kurths},
  journal={Physical review. E},
Transient dynamics are of large interest in many areas of science. Here, a generalization of basin stability (BS) is presented: constrained basin stability (CBS) that is sensitive to various different types of transients arising from finite size perturbations. CBS is applied to the paradigmatic Lorenz system for uncovering nonlinear precursory phenomena of a boundary crisis bifurcation. Further, CBS is used in a model of the Earth's carbon cycle as a return time-dependent stability measure of… 

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