Validity of numerical trajectories in the synchronization transition of complex systems
Chaotic Dynamics
2009-11-10 v1
Abstract
We investigate the relationship between the loss of synchronization and the onset of shadowing breakdown {\it 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 state. There are potentially severe consequences of these facts on the validity of the computer-generated trajectories obtained from dynamical systems whose synchronization manifolds share the same non-hyperbolic properties.
Cite
@article{arxiv.nlin/0310004,
title = {Validity of numerical trajectories in the synchronization transition of complex systems},
author = {R. L. Viana and C. Grebogi and S. E. de S. Pinto and S. R. Lopes and A. M. Batista and J. Kurths},
journal= {arXiv preprint arXiv:nlin/0310004},
year = {2009}
}
Comments
4 pages, 4 figures