Abstract
In this paper, the complex dynamical behaviors of the chaotic trajectories of Chen's system are analyzed in detail, with its precise bound derived for the first time. In particular, it is rigorously proved that all nontrivial trajectories of the system always travel alternatively through two specific Poincaré projections for infinitely many times. The results provide an insightful understanding of the complex topological structure of Chen's chaotic attractor.
| Original language | English |
|---|---|
| Pages (from-to) | 2561-2574 |
| Journal | International Journal of Bifurcation and Chaos in Applied Sciences and Engineering |
| Volume | 13 |
| Issue number | 9 |
| DOIs | |
| Publication status | Published - Sept 2003 |
Research Keywords
- Chaos
- Chen's attractor
- Chen's system
- Trajectory
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