@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{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{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{VianaGrebogiPintoetal.2005, author = {Viana, R. L. and Grebogi, Celso and Pinto, S. E. D. and Lopes, S. R. and Batista, A. M. and Kurths, J{\"u}rgen}, title = {Bubbling bifurcation : loss of synchronization and shadowing breakdown in complex systems}, year = {2005}, abstract = {Complex dynamical systems with many degrees of freedom may exhibit a wealth of collective phenomena related to high-dimensional chaos. This paper focuses on a lattice of coupled logistic maps to investigate the relationship between the loss of chaos synchronization and the onset of shadowing breakdown via unstable dimension variability in complex systems. In the neighborhood of the critical transition to strongly non-hyperbolic behavior, the system undergoes on-off intermittency with respect to the synchronization manifold. This has been confirmed by numerical diagnostics of synchronization and non-hyperbolic behavior, the latter using the statistical properties of finite-time Lyapunov exponents. (c) 2005 Elsevier B.V. All rights reserved}, 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{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{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{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{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} }