@article{16710,
  abstract     = {{In this work we present a set-oriented path following method for the computation of relative global
attractors of parameter-dependent dynamical systems. We start with an initial approximation of the
relative global attractor for a fixed parameter λ0 computed by a set-oriented subdivision method.
By using previously obtained approximations of the parameter-dependent relative global attractor
we can track it with respect to a one-dimensional parameter λ > λ0 without restarting the whole
subdivision procedure. We illustrate the feasibility of the set-oriented path following method by
exploring the dynamics in low-dimensional models for shear flows during the transition to turbulence
and of large-scale atmospheric regime changes .
}},
  author       = {{Gerlach, Raphael and Ziessler, Adrian and Eckhardt, Bruno and Dellnitz, Michael}},
  issn         = {{1536-0040}},
  journal      = {{SIAM Journal on Applied Dynamical Systems}},
  pages        = {{705--723}},
  title        = {{{A Set-Oriented Path Following Method for the Approximation of Parameter Dependent Attractors}}},
  doi          = {{10.1137/19m1247139}},
  year         = {{2020}},
}