@article{VianaBarbosaGrebogi2004,
  author    = {Viana, Ricardo L. and Barbosa, Jos{\´e} R. R. and Grebogi, Celso},
  title     = {Unstable dimension variability and codimension-one bifurcations of two-dimensional maps},
  issn      = {0375-9601},
  year      = {2004},
  abstract  = {Unstable dimension variability is a mechanism whereby an invariant set of a dynamical system, like a chaotic attractor or a strange saddle, loses hyperbolicity in a severe way, with serious consequences on the shadowability properties of numerically generated trajectories. In dynamical systems possessing a variable parameter, this phenomenon can be triggered by the bifurcation of an unstable periodic orbit. This Letter aims at discussing the possible types of codimension-one bifurcations leading to unstable dimension variability in a two-dimensional map, presenting illustrative examples and displaying numerical evidences of this fact by computing finite-time Lyapunov exponents. (C) 2004 Elsevier B.V. All rights reserved},
  language  = {en}
}