6 papers · 1 filter
Poincare recurrence and measure of hyperbolic and nonhyperbolic chaotic attractors
Murilo S. Baptista, Suso Kraut, Celso Grebogi
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…
Stability Properties of Nonhyperbolic Chaotic Attractors under Noise
Suso Kraut, Celso Grebogi
We study local and global stability of nonhyperbolic chaotic attractors contaminated by noise. The former is given by the maximum distance of a noisy trajectory from the noisefree…
Comment on "Shadowability of Statistical Averages in Chaotic Systems" by Y.C. Lai, Z. Liu, G.W. Wei, and C.H. Lai, Phys. Rev. Lett. 89, 184101
Suso Kraut
Lai {\it et al.} \cite{Lai:2002} investigate systems with a stable periodic orbit and a coexisting chaotic saddle. They claim that, by adding white Gaussian noise (GN), averages ch…
Enhancement of Noise-induced Escape through the Existence of a Chaotic Saddle
Suso Kraut, Ulrike Feudel
We study the noise-induced escape process in a prototype dissipative nonequilibrium system, the Ikeda map. In the presence of a chaotic saddle embedded in the basin of attraction o…
Multistability, noise and attractor-hopping: The crucial role of chaotic saddles
Suso Kraut, Ulrike Feudel
We investigate the hopping dynamics between different attractors in a multistable system under the influence of noise. Using symbolic dynamics we find a sudden increase of dynamica…
Escaping from nonhyperbolic chaotic attractors
Suso Kraut, Celso Grebogi
We study the noise-induced escape process from chaotic attractors in nonhyperbolic systems. We provide a general mechanism of escape in the low noise limit, employing the theory of…