On the Stability Behavor of Bifurcated Normal Modes in Coupled Nonlinear SystemsSource: Journal of Applied Mechanics:;1989:;volume( 056 ):;issue: 001::page 155Author:C. H. Pak
DOI: 10.1115/1.3176037Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The stability of bifurcated normal modes in coupled nonlinear oscillators is investigated, based on Synge’s stability in the kinematico-statical sense, utilizing the calculus of variations and Floquet’s theory. It is found, in general, that in a generic bifurcation, the stabilities of two bifurcated modes are opposite, and in a nongeneric bifurcation, the stability of continuing modes is opposite to that of the existing mode, and the stabilities of the two bifurcated modes are equal but opposite to that of the continuing mode. Some examples are illustrated.
keyword(s): Stability , Nonlinear systems AND Bifurcation ,
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| contributor author | C. H. Pak | |
| date accessioned | 2017-05-08T23:29:17Z | |
| date available | 2017-05-08T23:29:17Z | |
| date copyright | March, 1989 | |
| date issued | 1989 | |
| identifier issn | 0021-8936 | |
| identifier other | JAMCAV-26303#155_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/105018 | |
| description abstract | The stability of bifurcated normal modes in coupled nonlinear oscillators is investigated, based on Synge’s stability in the kinematico-statical sense, utilizing the calculus of variations and Floquet’s theory. It is found, in general, that in a generic bifurcation, the stabilities of two bifurcated modes are opposite, and in a nongeneric bifurcation, the stability of continuing modes is opposite to that of the existing mode, and the stabilities of the two bifurcated modes are equal but opposite to that of the continuing mode. Some examples are illustrated. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | On the Stability Behavor of Bifurcated Normal Modes in Coupled Nonlinear Systems | |
| type | Journal Paper | |
| journal volume | 56 | |
| journal issue | 1 | |
| journal title | Journal of Applied Mechanics | |
| identifier doi | 10.1115/1.3176037 | |
| journal fristpage | 155 | |
| journal lastpage | 161 | |
| identifier eissn | 1528-9036 | |
| keywords | Stability | |
| keywords | Nonlinear systems AND Bifurcation | |
| tree | Journal of Applied Mechanics:;1989:;volume( 056 ):;issue: 001 | |
| contenttype | Fulltext |