The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
Characterization of an experimental strange attractor by periodic orbits
Abstract
We describe a general procedure to locate periodic saddle orbits in a chaotic attractor reconstructed from experimental data. The method is applied to data from a Belousov-Zhabotinskii chemical reaction. The eigenvalues associated with the saddle orbits are used to estimate the Lyapunov exponents. An analysis of the next amplitude map determines the allowable periodic orbits and yields an estimate of the topological entropy.
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Citations
Cites
Lyapunov exponents, entropy and periodic orbits for diffeomorphisms
Katok, A. (1980) · Publications Mathématiques de l'IHÉS · doi:10.1007/bf02684777 · Cited by 935
Cited by
Continuous control of chaos by self-controlling feedback
Pyragas, K. (1992) · Physics Letters A · doi:10.1016/0375-9601(92)90745-8 · Cited by 3,316
Hayes, S., Grebogi, C., & Ott, E. (1993) · Physical Review Letters · doi:10.1103/physrevlett.70.3031 · Cited by 573
Data based identification and prediction of nonlinear and complex dynamical systems
Wang, W.-X., Lai, Y.-C., & Grebogi, C. (2016) · Physics Reports · doi:10.1016/j.physrep.2016.06.004 · Cited by 299
Metadata
- Authors
- Lathrop, D. P., & Kostelich, E. J.
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 1989-10-01
- Volume
- 40
- Issue
- 7
- Pages
- 4028-4031
- ISSN
- 0556-2791 (ISSN-L)
- OpenAlex
- W1996419866
- Cited by
- 331
- References
- 1
- FWCI
- 8.83
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: Characterization of an experimental strange attractor by periodic orbits. https://app.cochat.ai/papers/10.1103/physreva.40.4028
- The paper
- Lathrop, D. P., & Kostelich, E. J. (1989). Characterization of an experimental strange attractor by periodic orbits. Physical Review A. https://doi.org/10.1103/physreva.40.4028
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