@article{BaptistaGrebogiKoberle2006,
  author    = {Baptista, Murilo da Silva and Grebogi, Celso and Koberle, Roland},
  title     = {Dynamically multilayered visual system of the multifractal fly},
  series = {Physical review letters},
  volume    = {97},
  journal   = {Physical review letters},
  number    = {17},
  publisher = {American Physical Society},
  address   = {College Park},
  issn      = {0031-9007},
  doi       = {10.1103/PhysRevLett.97.178102},
  pages     = {4},
  year      = {2006},
  language  = {en}
}
@article{BaptistaKrautGrebogi2005,
  author    = {Baptista, Murilo da Silva and Kraut, Suso and Grebogi, Celso},
  title     = {Poincare recurrence and measure of hyperbolic and nonhyperbolic chaotic attractors},
  issn      = {0031-9007},
  year      = {2005},
  abstract  = {We study Poincare recurrence of chaotic attractors for regions of finite size. Contrary to the standard case, where the size of the recurrent regions tends to zero, the measure is no longer supported solely by unstable periodic orbits of finite length inside it, but also by other special recurrent trajectories, located outside that region. The presence of the latter leads to a deviation of the distribution of the Poincare first return times from a Poissonian. Consequently, by taking into account the contribution of these special recurrent trajectories, a corrected estimate of the measure is obtained. This has wide experimental implications, as in the laboratory all returns can exclusively be observed for regions of finite size, and only unstable periodic orbits of finite length can be detected},
  language  = {en}
}
@article{DeFreitasVianaGrebogi2004,
  author    = {De Freitas, M. S. T. and Viana, R. L. and Grebogi, Celso},
  title     = {Basins of attraction of periodic oscillations in suspension bridges},
  issn      = {0924-090X},
  year      = {2004},
  abstract  = {We consider the dynamics of the lowest order transversal vibration mode of a suspension bridge, for which the hangers are treated as one-sided springs, according to the model of Lazer and McKeena [SIAM Review 58, 1990, 537]. We analyze in particular the multi-stability of periodic attractors and the basin of attraction structure in phase space and its dependence with the model parameters. The parameter values used in numerical simulations have been estimated from a number of bridges built in the United States and in the United Kingdom, thus taking into account realistic, yet sometimes simplified, structural, aerodynamical, and physical considerations},
  language  = {en}
}
@article{KarolyiTeldeMouraetal.2004,
  author    = {Karolyi, G. and Tel, Tomas and de Moura, A. P. S. and Grebogi, Celso},
  title     = {Reactive particles in random flows},
  issn      = {0031-9007},
  year      = {2004},
  abstract  = {We study the dynamics of chemically or biologically active particles advected by open flows of chaotic time dependence, which can be modeled by a random time dependence of the parameters on a stroboscopic map. We develop a general theory for reactions in such random flows, and derive the reaction equation for this case. We show that there is a singular enhancement of the reaction in random flows, and this enhancement is increased as compared to the nonrandom case. We verify our theory in a model flow generated by four point vortices moving chaotically},
  language  = {en}
}
@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}
}
@article{KarolyiPentekToroczkaietal.1998,
  author    = {Karolyi, Gy{\"o}rgy and Pentek, Aron and Toroczkai, Zolt{\´a}n and T{\´e}l, T{\´o}mas and Grebogi, Celso},
  title     = {Advection of active particles in open chaotic flows},
  issn      = {0031-9007},
  year      = {1998},
  language  = {en}
}
@article{PoonGrebogiFeudeletal.1998,
  author    = {Poon, L. and Grebogi, Celso and Feudel, Ulrike and Yorke, J. A.},
  title     = {Dynamical properties of a simple mechanical system with a large number of coexisting periodic attractors},
  year      = {1998},
  language  = {en}
}
@article{LaiGrebogiFeudeletal.1998,
  author    = {Lai, Ying Cheng and Grebogi, Celso and Feudel, Ulrike and Witt, Annette},
  title     = {Basin bifurcation in quasiperiodically forced systems},
  year      = {1998},
  language  = {en}
}
@article{BoltLaiGrebogi1997,
  author    = {Bolt, Eric and Lai, Ying Cheng and Grebogi, Celso},
  title     = {Coding, channel capacity and noise resistance in communication with chaos},
  year      = {1997},
  language  = {en}
}
@article{SauerGrebogiYorke1997,
  author    = {Sauer, T. and Grebogi, Celso and Yorke, J. A.},
  title     = {How long do numerical chaotic solutions remain valid?},
  year      = {1997},
  language  = {en}
}
@article{FeudelGrebogi1997,
  author    = {Feudel, Ulrike and Grebogi, Celso},
  title     = {Multistability and the control of complexity},
  issn      = {1054-1500},
  year      = {1997},
  language  = {en}
}
@article{FeudelGrebogiOtt1997,
  author    = {Feudel, Ulrike and Grebogi, Celso and Ott, E.},
  title     = {Phase-locking in quasiperiodically forced systems},
  year      = {1997},
  language  = {en}
}
@article{GrebogiLai1997,
  author    = {Grebogi, Celso and Lai, Ying Cheng},
  title     = {Controlling chaos in high dimensions},
  year      = {1997},
  language  = {en}
}
@article{GrebogiLai1997,
  author    = {Grebogi, Celso and Lai, Ying Cheng},
  title     = {Controlling chaotic dynamical systems},
  year      = {1997},
  language  = {en}
}
@article{GrebogiLaiHayes1997,
  author    = {Grebogi, Celso and Lai, Ying Cheng and Hayes, S.},
  title     = {Control and applications of chaos},
  issn      = {0016-0032},
  year      = {1997},
  language  = {en}
}
@article{LaiNagaiGrebogi1997,
  author    = {Lai, Ying Cheng and Nagai, Y. and Grebogi, Celso},
  title     = {Characterization of the natural measure by unstable periodic orbits in chaotic attractors},
  year      = {1997},
  language  = {en}
}
@article{RosaHayesGrebogi1997,
  author    = {Rosa, Epaminondas and Hayes, S. and Grebogi, Celso},
  title     = {Noise filtering in communication with chaos},
  year      = {1997},
  language  = {en}
}
@article{HuntGrebogiBarretoetal.1997,
  author    = {Hunt, Brain R. and Grebogi, Celso and Barreto, Ernest and Yorke, James A.},
  title     = {From high dimensional chaos to stable periodic orbits : the structure of parameter space},
  year      = {1997},
  language  = {en}
}
@article{KrautFeudelGrebogi1999,
  author    = {Kraut, Suso and Feudel, Ulrike and Grebogi, Celso},
  title     = {Preference of attractors in noisy multistable systems},
  year      = {1999},
  language  = {en}
}
@article{LetellierAbrahamShepelyanskyetal.2021,
  author    = {Letellier, Christophe and Abraham, Ralph and Shepelyansky, Dima L. and Rossler, Otto E. and Holmes, Philip and Lozi, Rene and Glass, Leon and Pikovsky, Arkady and Olsen, Lars F. and Tsuda, Ichiro and Grebogi, Celso and Parlitz, Ulrich and Gilmore, Robert and Pecora, Louis M. and Carroll, Thomas L.},
  title     = {Some elements for a history of the dynamical systems theory},
  series = {Chaos : an interdisciplinary journal of nonlinear science},
  volume    = {31},
  journal   = {Chaos : an interdisciplinary journal of nonlinear science},
  number    = {5},
  publisher = {AIP Publishing},
  address   = {Melville},
  issn      = {1054-1500},
  doi       = {10.1063/5.0047851},
  pages     = {20},
  year      = {2021},
  abstract  = {Writing a history of a scientific theory is always difficult because it requires to focus on some key contributors and to "reconstruct" some supposed influences. In the 1970s, a new way of performing science under the name "chaos" emerged, combining the mathematics from the nonlinear dynamical systems theory and numerical simulations. To provide a direct testimony of how contributors can be influenced by other scientists or works, we here collected some writings about the early times of a few contributors to chaos theory. The purpose is to exhibit the diversity in the paths and to bring some elements-which were never published-illustrating the atmosphere of this period. Some peculiarities of chaos theory are also discussed.},
  language  = {en}
}