@article {6,
	title = {Studying the basin of convergence of methods for computing periodic orbits},
	journal = {International Journal of Bifurcation and Chaos (IJBC)},
	volume = {21},
	year = {2011},
	pages = {1-28},
	abstract = {Starting from the well-known Newton{\textquoteright}s fractal which is formed by the basin of convergence of Newton{\textquoteright}s method applied to a cubic equation in one variable in the field ℂ, we were able to find methods for which the corresponding basins of convergence do not exhibit a fractal-like structure. Using this approach we are able to distinguish reliable and robust methods for tackling a specific problem. Also, our approach is illustrated here for methods for computing periodic orbits of nonlinear mappings as well as for fixed points of the Poincar{\'e} map on a surface of section.},
	doi = {10.1142/S0218127411029653},
	author = {M. G. Epitropakis and M. N. Vrahatis}
}
