@article{37946,
  keywords = {computation, computational dynamics, global bifurcations, invariant manifolds},
  author = {Johnson and Jolly and Kevrekidis},
  title = {Two-dimensional invariant manifolds and global bifurcations: Some approximation and visualization studies},
  abstract = { We illustrate and discuss the computer-assisted study (approximation and visualization) of two-dimensional (un)stable manifolds of steady states saddle-type limit cycles fr Rows in R(n). Our investigation highlights a number of computational issues arising in this task, along with our solutions "quick-fixes" for some of these problems. Two examples illustrative uf both successes and shortcomings of our current approach are presented. Representative "snapshots" demonstrate the dependence of two-dimensional invariant manifolds on a bifurcation parameter as well as their interactions. Such approximation and visualization studies are a necessary component of the computer-assisted study and understanding of global bifurcations. },
  year = {1997},
  journal = {Numerical AlgorithmsNumerical Algorithms},
  volume = {14},
  pages = {125-140},
  isbn = {1017-1398},
  language = {English},
}