Abstract
Statistics of shadowing time in nonhyperbolic chaotic systems is discussed with unstable dimension variability. No true trajectory of reasonable length can be found to exist near any numerically generated trajectory, when the dimension of the unstable eigenspace changes along a trajectory in the invariant set. It is found that an important quantity characterizing the shadowability of numerical trajectories is the shadowing time. It measures for how long a trajectory remains valid.
| Original language | English |
|---|---|
| Article number | 016213 |
| Pages (from-to) | 162131-1621310 |
| Number of pages | 1459180 |
| Journal | Physical Review E |
| Volume | 69 |
| Issue number | 1 2 |
| State | Published - Jan 2004 |