 Generating multicluster conservative chaotic flows from a generalized Sprott-A systemShijian Cang, Yue Li, Zhijun Kang and Zenghui Wang Chaos, Solitons & Fractals, 2020, vol. 133, issue C Abstract: In this paper, we propose a general structure of the generalized Sprott-A system based on the matrix form of the Sprott-A system. To investigate the multicluster chaotic flows derived from the general structure, several example systems are reported by modifying the Hamiltonian of the generalized Sprott-A system without changing its nonconstant state matrix. Through numerical simulations, it is interesting to find that the topology of the chaotic flows generated by the example systems has clusters of different numbers and shapes in phase space for the given different parameters and initial conditions, which are completely controlled by the Hamiltonian (i.e., completely closed isosurfaces). Moreover, the captured chaos is volume-conservative, which is verified by the sums of the corresponding Lyapunov exponents. Besides, we analyze the complexity of the example systems by the approximate entropy, sample entropy and fuzzy entropy, and find that increasing the number of conservative chaotic clusters may not enhance the complexities of the proposed systems. Keywords: Generalized Sprott-A system; Multicluster chaotic flows; Hamiltonian; Isosurfaces (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:133:y:2020:i:c:s0960077920300503 DOI: 10.1016/j.chaos.2020.109651 Access Statistics for this article Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros More articles in Chaos, Solitons & Fractals from Elsevier |
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