Research for Coupled van der Pol Systems with Parametric Excitation and Its Application.
In this article, we study the primary resonances of van der Pol systems with parametric excitation using the multiple scales method (MSM) and the homotopy analysis method (HAM). First, we study the nonlinear dynamic response of a coupled system with parametric excitation when the ratio of internal r...
| Publicado en: | Zeitschrift für Naturforschung Section A: A Journal of Physical Sciences Vol. 72; no. 11; pp. 1009 - 1021 |
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| Autores principales: | , |
| Formato: | Artículo |
| Publicado: |
De Gruyter
Nov2017
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| Acceso en línea: | Ver este registro en EBSCOhost |
| fields | @attributes: recordID: 1 pdfLink: plink: https://search.ebscohost.com/login.aspx?direct=true&db=hlh&AN=126005798&site=ehost-live header: @attributes: shortDbName: hlh uiTerm: 126005798 longDbName: Humanities International Complete uiTag: AN controlInfo: bkinfo: jinfo: jid: 09320784 FL07 jtl: Zeitschrift für Naturforschung Section A: A Journal of Physical Sciences issn: 09320784 maglogo: N pubinfo: dt: Nov2017 vid: 72 iid: 11 pid: 1734 pub: De Gruyter artinfo: ui: 126005798 10.1515/zna-2017-0249 ppf: 1009 ppct: 12 formats: tig: atl: Research for Coupled van der Pol Systems with Parametric Excitation and Its Application. aug: au: Qian, Y. H. Fu, H. X. affil: College of Mathematics, Physics and Information Engineering, Zhejiang Normal University, Jinhua 321004, Zhejiang, P. R. China su: Van der Pol equation Nuclear excitation Homotopy theory Resonance Coupled mode theory (Wave-motion) Frequency response sug: subj: Van der Pol equation Nuclear excitation Homotopy theory Resonance Coupled mode theory (Wave-motion) Frequency response keyword: Homotopy Analysis Method Multiple Scales Method Parametric Excitation Primary Resonances van der Pol Systems ab: In this article, we study the primary resonances of van der Pol systems with parametric excitation using the multiple scales method (MSM) and the homotopy analysis method (HAM). First, we study the nonlinear dynamic response of a coupled system with parametric excitation when the ratio of internal resonances are different, and obtain the four-dimensional average equation of the rectangular coordinate form using the MSM, thereby periodic motions are found in the system. Second, using the HAM, we obtain the four periodic solutions, in which there are two sets of in-phase periodic solutions and two sets of out-of-phase periodic solutions. Finally, we obtain the frequency response curves using the MSM and the HAM, in which it is found that the differences could be ignored. pubtype: Academic Journal doctype: Article src: R language: English refInfo: copyright: @attributes: flag: Y dt: @attributes: year: 2017 holdings: @attributes: islocal: N |
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