A strange double-deck butterfly chaotic attractor from a permanent magnet synchronous motor with smooth air gap: numerical analysis and experimental observation
type: Item
instance of: scholarly article
title: A strange double-deck butterfly chaotic attractor from a permanent magnet synchronous motor with smooth air gap: numerical analysis and experimental observation
zbMATH Open document ID: 1470.37059
DOI: 10.1155/2014/495126
author: Wei Xue
author: Zhonglin Wang
author: Shijian Cang
author: Zenghui Wang
author: Zengqiang Chen
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: A permanent magnet synchronous motor (PMSM) model with smooth air gap and an exogenous periodic input is introduced and analyzed in this paper. With a simple mathematical transformation, a new nonautonomous Lorenz-like system is derived from this PMSM model, and this new three-dimensional system can display the complicated dynamics such as the chaotic attractor and the multiperiodic orbits by adjusting the frequency and amplitude of the exogenous periodic inputs. Moreover, this new system shows a double-deck chaotic attractor that is completely different from the four-wing chaotic attractors on topological structures, although the phase portrait shapes of the new attractor and the four-wing chaotic attractors are similar. The exotic phenomenon has been well demonstrated and investigated by numerical simulations, bifurcation analysis, and electronic circuit implementation.
Mathematics Subject Classification ID: 37D45
Mathematics Subject Classification ID: 34C28
zbMATH DE Number: 7022485
Wikidata QID: Q56945389
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/495126
OpenAlex ID: W2046256389
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description: scientific article; zbMATH DE number 7022485