A fractional nonlinear system for release oscillation of silver ions from hollow fibers. Issue 1 (March 2019)

• Record Type: Journal Article
• Authors: Liu, Hong-Yan; Li, Zhimin; Yao, Yanju
• Is Part Of: Journal of low frequency noise, vibration, and active control. Volume 38:Issue 1(2019)
• Page Start: 88
• Page End: 92
• Publication Date: 2019-03
• Subjects: van der Pol oscillator -- predator–prey model -- fractional model -- fractional complex transform -- hollow fiber; Vibration -- Periodicals; Noise -- Periodicals; Sound -- Periodicals; Damping (Mechanics) -- Periodicals; Damping (Mechanics); Noise; Sound; Vibration; Periodicals; 620.205
• DOI: 10.1177/1461348418814122
• Languages: English
• ISSNs: 1461-3484

Abstract

A fractional nonlinear differential system is studied to search for its periodic solution near the equilibrium. The release oscillation of silver ions from hollow fibers is used as an example to illustrate the importance of fractional order to the release frequency. The criterion for the periodic solution is obtained and it shows that the fractional order will greatly affect its periodic property.