The purpose of this work is to present convergence properties of regular and chaotic
conservative trajectories under small dissipation. It is known that when subjected to …

We study Poincaré 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 …

Recent progress towards an understanding of fluctuational escape from chaotic attractors
(CAs) is reviewed and discussed in the contexts of both continuous systems and maps. It is …

The topological structure of basin boundaries plays a fundamental role in the sensitivity to
the final state in chaotic dynamical systems. Herewith we present a study on the dynamics of …

In this paper we estimate dynamical characteristics of chaotic attractors from sequences of
threshold-crossing interspike intervals, and study how the choice of the threshold level …

We perform a numerical study of the breakdown of hyperbolicity of quasi-periodic attractors
in the dissipative standard map. In this study, we compute the quasi-periodic attractors …

We show that chaotic attractors are rarely found in multistable dissipative systems close to
the conservative limit. As we approach this limit, the parameter intervals for the existence of …

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 …

General properties of maps associated with systems in which trajectories of the flow get
close to a hyperbolic fixed point with a two-dimensional stable and a one-dimensional …

Determination of the basin of attraction of an attractor plays an important role in
understanding the dynamics of a system. In all the existing literature, the basin of attraction …