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Stability analysis
of two coupled oscillators
Mickhail A. Guzev and Alexandr A. Dmitriev
Vol. 4 (2016), No. 2, 139–152
DOI: 10.2140/memocs.2016.4.139
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Abstract |
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We study a system of two coupled oscillators linked by a linear elastic spring and positioned vertically in a uniform gravity field. It is demonstrated that the system has different equilibrium configurations below and above the oscillators’ suspension centers. We obtained the relations of the string stiffness and the distance between the suspension centers identifying the stability region of the oscillators. |
Keywords
coupled oscillators, equilibrium configurations, stability,
linear interaction
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Mathematical Subject Classification 2010
Primary: 70E55, 70H14
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Milestones
Received: 8 November 2015
Revised: 11 April 2016
Accepted: 14 May 2016
Published: 21 November 2016
Communicated by Francesco dell'Isola
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Authors |
| Mickhail A. Guzev | |
| Institute for Applied
Mathematics Far Eastern Branch Russian Academy of Sciences Radio 7 Vladivostok 690041 Russia |
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| Alexandr A. Dmitriev | |
| Institute for Applied
Mathematics Far Eastern Branch Russian Academy of Sciences Radio 7 Vladivostok 690041 Russia |
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