TY  - JOUR
A1  - Karolyi, György
A1  - Pentek, Aron
A1  - Toroczkai, Zoltán
A1  - Tél, Tómas
A1  - Grebogi, Celso
T1  - Advection of active particles in open chaotic flows
Y1  - 1998
SN  - 0031-9007
ER  - 
TY  - JOUR
A1  - Lai, Ying Cheng
A1  - Grebogi, Celso
A1  - Feudel, Ulrike
A1  - Witt, Annette
T1  - Basin bifurcation in quasiperiodically forced systems
Y1  - 1998
ER  - 
TY  - JOUR
A1  - De Freitas, M. S. T.
A1  - Viana, R. L.
A1  - Grebogi, Celso
T1  - Basins of attraction of periodic oscillations in suspension bridges
N2  - 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
Y1  - 2004
SN  - 0924-090X
ER  - 
TY  - JOUR
A1  - Viana, R. L.
A1  - Grebogi, Celso
A1  - Pinto, S. E. D.
A1  - Lopes, S. R.
A1  - Batista, A. M.
A1  - Kurths, Jürgen
T1  - Bubbling bifurcation : loss of synchronization and shadowing breakdown in complex systems
N2  - 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
Y1  - 2005
ER  - 
TY  - JOUR
A1  - Lai, Ying Cheng
A1  - Nagai, Y.
A1  - Grebogi, Celso
T1  - Characterization of the natural measure by unstable periodic orbits in chaotic attractors
Y1  - 1997
ER  - 
TY  - JOUR
A1  - Bolt, Eric
A1  - Lai, Ying Cheng
A1  - Grebogi, Celso
T1  - Coding, channel capacity and noise resistance in communication with chaos
Y1  - 1997
ER  - 
TY  - JOUR
A1  - Grebogi, Celso
A1  - Lai, Ying Cheng
A1  - Hayes, S.
T1  - Control and applications of chaos
Y1  - 1997
SN  - 0016-0032
ER  - 
TY  - JOUR
A1  - Grebogi, Celso
A1  - Lai, Ying Cheng
T1  - Controlling chaos in high dimensions
Y1  - 1997
ER  - 
TY  - JOUR
A1  - Grebogi, Celso
A1  - Lai, Ying Cheng
T1  - Controlling chaotic dynamical systems
Y1  - 1997
ER  - 
TY  - JOUR
A1  - Poon, L.
A1  - Grebogi, Celso
A1  - Feudel, Ulrike
A1  - Yorke, J. A.
T1  - Dynamical properties of a simple mechanical system with a large number of coexisting periodic attractors
Y1  - 1998
ER  -