The DOI matches its Crossref record; 2 of the 2 references it cites were found in a registry or an index.
Constructing a Novel No-Equilibrium Chaotic System
Abstract
This paper introduces a new no-equilibrium chaotic system that is constructed by adding a tiny perturbation to a simple chaotic flow having a line equilibrium. The dynamics of the proposed system are investigated through Lyapunov exponents, bifurcation diagram, Poincaré map and period-doubling route to chaos. A circuit realization is also represented. Moreover, two other new chaotic systems without equilibria are also proposed by applying the presented methodology.
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Citations
Cites
Determining Lyapunov exponents from a time series
Wolf, A., Swift, J. B., Swinney, H. L., & Vastano, J. A. (1985) · Physica D: Nonlinear Phenomena · doi:10.1016/0167-2789(85)90011-9 · Cited by 9,499
CHEN, G., & UETA, T. (1999) · International Journal of Bifurcation and Chaos · doi:10.1142/s0218127499001024 · Cited by 2,838
Cited by
Hidden attractors in dynamical systems
Dudkowski, D., Jafari, S., Kapitaniak, T., Kuznetsov, N. V., Leonov, G. A., & Prasad, A. (2016) · Physics Reports · doi:10.1016/j.physrep.2016.05.002 · Cited by 695
Self-citationLeonov, G. A., Kuznetsov, N. V., & Mokaev, T. N. (2015) · The European Physical Journal Special Topics · doi:10.1140/epjst/e2015-02470-3 · Cited by 386
Bao, H., Hu, A., Liu, W., & Bao, B. (2020) · IEEE Transactions on Neural Networks and Learning Systems · doi:10.1109/tnnls.2019.2905137 · Cited by 371
Metadata
- Authors
- Pham, V.-T., Volos, C., Jafari, S., Wei, Z., & Wang, X.
- Venue
- International Journal of Bifurcation and Chaos
- Publisher
- World Scientific Pub Co Pte Lt
- Published
- 2014-05
- Volume
- 24
- Issue
- 05
- Pages
- 1450073
- ISSN
- 0218-1274 (ISSN-L)
- 1793-6551
- OpenAlex
- W2043260105
- Cited by
- 197
- References
- 2
- FWCI
- 18.90
- Type
- journal article
- Language
- en
- Open access
- closed
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- Pham, V.-T., Volos, C., Jafari, S., Wei, Z., & Wang, X. (2014). Constructing a Novel No-Equilibrium Chaotic System. International Journal of Bifurcation and Chaos. https://doi.org/10.1142/s0218127414500734
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.