@article{38166,
  keywords = {oxidation, boundaries, equation, pattern-formation, surfaces, platinum, propagation, catalytic reactions, computing periodic-solutions, visualization},
  author = {Runborg and Theodoropoulos and Kevrekidis},
  title = {Effective bifurcation analysis: a time-stepper-based approach},
  abstract = { We introduce a numerical approach to perform the effective (coarse-scale) bifurcation analysis of solutions of dissipative evolution equations with spatially varying coefficients. The advantage of this approach is that the {\textquoteright}coarse model{\textquoteright} (the averaged, effective equation) need not be explicitly constructed. The method only uses a time-integrator code for the detailed problem and judicious choices of initial data and integration times; the bifurcation computations are based on the so-called recursive projection method. },
  year = {2002},
  journal = {NonlinearityNonlinearity},
  volume = {15},
  pages = {491-511},
  month = {03/2002},
  isbn = {0951-7715},
  language = {English},
}