Study on a four-dimensional fractional-order system with dissipative and conservative properties

Xiangxin Leng, Shuangquan Gu, Qiqi Peng and Baoxiang Du

Chaos, Solitons & Fractals, 2021, vol. 150, issue C

Abstract: In this paper, based on an existing four-dimensional integer-order conservative system, the corresponding fractional-order system is proposed and solved by the Adomian decomposition method (ADM). In the process of analyzing the influence of parameters and initial values on the dynamic behaviors of system, we find various quasi-periodic and chaotic flows with different topological structures as well as hidden extreme multistability. In addition, we observe two types of transient transition behavior. It is worth noting that a new phenomenon is found, that is, the dynamic behaviors of system change from dissipative to conservative with the increase of order. Phase diagram, Lyapunov exponent spectrum, bifurcation diagram and spectral entropy (SE) complexity algorithm are used to analyze the above dynamic behaviors. Finally, the hardware implementation of system is realized on the DSP platform, and experimental results are consistent with numerical simulation results. The research results show that the fractional-order system has high complexity and better engineering application value.

Keywords: Fractional-order system; Conservative; ADM; Transient transition; Hidden extreme multistability (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (6)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077921005397
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:150:y:2021:i:c:s0960077921005397

DOI: 10.1016/j.chaos.2021.111185

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
Bibliographic data for series maintained by Thayer, Thomas R. ().