Abstract
The implications of large fluctuations of finite-time Lyapunov exponents are discussed for nonchaotic systems. We show that for a nonchaotic system driven by quasiperiodic force, if its finite-time Lyapunov exponents periodically become positive, the resulting attractor can be strange but nonchaotic. With long enough expanding time intervals, a nearly periodic force can also lead to strange nonchaotic attractors. For the case of a periodic force, a special typical periodic attractor that is sensitive to micronoise is obtained. With the different finite computing precisions, different pseudoperiodic orbits can be obtained.
© 1998 The American Physical Society
© 1998 The American Physical Society
| Original language | English |
|---|---|
| Pages (from-to) | 5332-5336 |
| Journal | Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics |
| Volume | 57 |
| Issue number | 5 SUPPL. A |
| DOIs | |
| Publication status | Published - 1998 |
Publisher's Copyright Statement
- COPYRIGHT TERMS OF DEPOSITED FINAL PUBLISHED VERSION FILE: Shuai, J. W., & Wong, K. W. (1998). Nonchaotic attractors with highly fluctuating finite-time Lyapunov exponents. Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 57(5 SUPPL. A), 5332-5336. https://doi.org/10.1103/PhysRevE.57.5332. The copyright of this article is owned by American Physical Society.
Fingerprint
Dive into the research topics of 'Nonchaotic attractors with highly fluctuating finite-time Lyapunov exponents'. Together they form a unique fingerprint.Cite this
- APA
- Author
- BIBTEX
- Harvard
- Standard
- RIS
- Vancouver