The DOI matches its Crossref record; 17 of the 17 references it cites were found in a registry or an index.
Controlling chaos in the Belousov—Zhabotinsky reaction
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“GARD composomes portray a special type of self-organization, different from the typical spatio-temporal patterns seen in experimental models in the realms of inorganic chemistry (Belousov–Zhabotinsky reactions [141]) or physics (Benard cells [142]).”
From Systems protobiology: origin of life in lipid catalytic networks (2018) · cites this paper as [141]
Citations
Cites
Ott, E., Grebogi, C., & Yorke, J. A. (1990) · Physical Review Letters · doi:10.1103/physrevlett.64.1196 · Cited by 5,431
Garfinkel, A., Spano, M. L., Ditto, W. L., & Weiss, J. N. (1992) · Science · doi:10.1126/science.1519060 · Cited by 920
Ditto, W. L., Rauseo, S. N., & Spano, M. L. (1990) · Physical Review Letters · doi:10.1103/physrevlett.65.3211 · Cited by 713
Stabilizing high-period orbits in a chaotic system: The diode resonator
Hunt, E. R. (1991) · Physical Review Letters · doi:10.1103/physrevlett.67.1953 · Cited by 639
Dynamical control of a chaotic laser: Experimental stabilization of a globally coupled system
Roy, R., Murphy, T. W., Maier, T. D., Gills, Z., & Hunt, E. R. (1992) · Physical Review Letters · doi:10.1103/physrevlett.68.1259 · Cited by 528
Singer, J., Wang, Y.-Z., & Bau, H. H. (1991) · Physical Review Letters · doi:10.1103/physrevlett.66.1123 · Cited by 350
Mixed-mode oscillations in chemical systems
Petrov, V., Scott, S. K., & Showalter, K. (1992) · The Journal of Chemical Physics · doi:10.1063/1.463727 · Cited by 237
Self-citationOne-Dimensional Dynamics in a Multicomponent Chemical Reaction
Simoyi, R. H., Wolf, A., & Swinney, H. L. (1982) · Physical Review Letters · doi:10.1103/physrevlett.49.245 · Cited by 224
Peng, B., Petrov, V., & Showalter, K. (1991) · The Journal of Physical Chemistry · doi:10.1021/j100166a013 · Cited by 210
Self-citationOne-Dimensional Dynamics in a Multicomponent Chemical Reaction
Simoyi, R. H., Wolf, A., & Swinney, H. L. (2017) · CRC Press eBooks · doi:10.1201/9780203734636-14 · Cited by 173
A three-variable model of deterministic chaos in the Belousov–Zhabotinsky reaction
Györgyi, L., & Field, R. J. (1992) · Nature · doi:10.1038/355808a0 · Cited by 133
A map-based algorithm for controlling low-dimensional chaos
Petrov, V., Peng, B., & Showalter, K. (1992) · The Journal of Chemical Physics · doi:10.1063/1.462402 · Cited by 86
Self-citationUniversality, multiplicity, and the effect of iron impurities in the Belousov–Zhabotinskii reaction
Coffman, K., McCormick, W. D., Noszticzius, Z., Simoyi, R. H., & Swinney, H. L. (1987) · The Journal of Chemical Physics · doi:10.1063/1.452603 · Cited by 67
Noszticzius, Z., McCormick, W. D., & Swinney, H. L. (1987) · The Journal of Physical Chemistry · doi:10.1021/j100303a051 · Cited by 41
Quenching of chemical oscillations
Hynne, F., & Soerensen, P. G. (1987) · The Journal of Physical Chemistry · doi:10.1021/j100311a002 · Cited by 29
Soerensen, P. G., & Hynne, F. (1989) · The Journal of Physical Chemistry · doi:10.1021/j100351a030 · Cited by 25
Experimental study of embedding of attractors in concentration space
Sørensen, P. G., Hynne, F., & Nielsen, K. (1990) · Reaction Kinetics and Catalysis Letters · doi:10.1007/bf02065365 · Cited by 4
Flagged first, then by citations
Research works printed but not linked: 1
- Doedel, E. AUTO: Software for Continuation and Bifurcation Problems in Ordinary Differential Equations (Applied Mathematics, California Institute of Technology, Pasadena, 1986).
Cited by
Sorted by citations
Controlling chaos in the brain
Schiff, S. J., Jerger, K. K., Duong, D. H., Chang, T., Spano, M. L., & Ditto, W. L. (1994) · Nature · doi:10.1038/370615a0 · Cited by 904
Using small perturbations to control chaos
Shinbrot, T., Grebogi, C., Yorke, J. A., & Ott, E. (1993) · Nature · doi:10.1038/363411a0 · Cited by 848
Using machine learning to replicate chaotic attractors and calculate Lyapunov exponents from data
Pathak, J., Lu, Z., Hunt, B. R., Girvan, M., & Ott, E. (2017) · Chaos An Interdisciplinary Journal of Nonlinear Science · doi:10.1063/1.5010300 · Cited by 673
Nonlinear Chemical Dynamics: Oscillations, Patterns, and Chaos
Epstein, I. R., & Showalter, K. (1996) · The Journal of Physical Chemistry · doi:10.1021/jp953547m · Cited by 547
Self-citationStabilizing unstable periodic orbits in fast dynamical systems
Socolar, J. E. S., Sukow, D. W., & Gauthier, D. J. (1994) · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · doi:10.1103/physreve.50.3245 · Cited by 434
Metadata
- Authors
- Petrov, V., Gáspár, V., Masere, J., & Showalter, K.
- Affiliations
- West Virginia University (US)
- Venue
- Nature
- Published
- 1993-01
- Volume
- 361
- Issue
- 6409
- Pages
- 240-243
- ISSN
- 0028-0836 (ISSN-L)
- 1476-4687
- OpenAlex
- W2030991498
- Cited by
- 408
- References
- 17
- Citations by year
- 2026: 11 · 2025: 4 · 2024: 10 · 2023: 10 · 2022: 11 · 2021: 10 · 2020: 13 · 2019: 8 · 2018: 8 · 2017: 10 · 2016: 26 · 2015: 13 · 2014: 13 · 2013: 4 · 2012: 9
- FWCI
- 20.34
- Type
- journal article
- Language
- en
- Open access
- closed
- Licence
- www.springer.com/tdm (tdm)
- Locations
- Nature (publishedVersion)
- University of Debrecen Electronic Archive (University of Debrecen) (submittedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Chaos control and synchronization
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Nonlinear Dynamics and Pattern Formation
- Physical Sciences › Mathematics › Mathematical Physics › Mathematical Dynamics and Fractals
- Keywords
- chaos control, Belousov-Zhabotinsky reaction, deterministic chaos, feedback control, proportional control, periodic oscillations, sensitivity to initial conditions
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