Coalescence of the two secondary responses in coupled duffing equations

NCUIR > Engineering College > Departmant of Mechanical Engineering > journal & Dissertation > Item 987654321/108478

Please use this identifier to cite or link to this item: https://ir.lib.ncu.edu.tw/handle/987654321/108478

Title:	Coalescence of the two secondary responses in coupled duffing equations
Authors:	董必正;LAI, TING-YU;TUNG, PI-CHENG;HSIAO, YUNG-CHIA
Contributors:	工學院機械工程學系
Keywords:	Algorithms;Bifurcations;Coalescence;Coalescing;Duffing equation;Mathematical analysis;Orbits;Stability
Date:	2012-01-01
Issue Date:	2026-04-23 14:51:06 (UTC+8)
Publisher:	World Scientific Publishing Co. Pte Ltd;World Scientific Publishing Company
Abstract:	摘要： The novel coalescence of the secondary responses for the coupled Duffing equations are observed in this study. Two secondary responses that do not bifurcate from the primary responses merge into one due to saddle-node bifurcation generation within a specific parameter range. The frequency responses of the coupled Duffing equations are calculated using the harmonic balance method while the periodic orbits are detected by the shooting method. The stability of the periodic orbits is determined on utilizing Floquet theory. The parametric continuation algorithm is used to obtain the bifurcation points and bifurcation lines for a Duffing system with two varying parameters. The analytical results demonstrate the novel phenomenon that occurs in the Duffing equations. 出版者： World Scientific Publishing Company 出版日期： 2012-06 出處： International journal of bifurcation and chaos in applied sciences and engineering, 2012-06, Vol.22 (6), p.1250149-1250110 版權： 2012, World Scientific Publishing Company 識別號： ISSN: 0218-1274 識別號： EISSN: 1793-6551 識別號： DOI: 10.1142/S0218127412501490
Appears in Collections:	[Departmant of Mechanical Engineering ] journal & Dissertation

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