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https://hdl.handle.net/2440/22870
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DC Field | Value | Language |
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dc.contributor.author | Li, X. | - |
dc.contributor.author | Ji, J. | - |
dc.contributor.author | Hansen, C. | - |
dc.date.issued | 2006 | - |
dc.identifier.citation | Mechanics Research Communications, 2006; 33(5):614-627 | - |
dc.identifier.issn | 0093-6413 | - |
dc.identifier.issn | 1873-3972 | - |
dc.identifier.uri | http://hdl.handle.net/2440/22870 | - |
dc.description.abstract | In this paper, the dynamics of a system of two van der Pol oscillators with delayed position and velocity coupling is studied by the method of averaging together with truncation of Taylor expansions. According to the slow-flow equations, the dynamics of 1:1 internal resonance is more complex than that of non-1:1 internal resonance. For 1:1 internal resonance, the stability and the number of periodic solutions vary with different time delay for given coupling coefficients. The condition necessary for saddle-node and Hopf bifurcations for symmetric modes, namely in-phase and out-of-phase modes, are determined. The numerical results, obtained from direct integration of the original equation, are found to be in good agreement with analytical predictions. | - |
dc.description.statementofresponsibility | Xinye Li, J. C. Ji and Colin H. Hansen | - |
dc.language.iso | en | - |
dc.publisher | Pergamon-Elsevier Science Ltd | - |
dc.source.uri | http://dx.doi.org/10.1016/j.mechrescom.2005.09.009 | - |
dc.subject | non-linear dynamics | - |
dc.subject | coupled van der Pol oscillators | - |
dc.subject | time delay | - |
dc.subject | bifurcation | - |
dc.subject | stability | - |
dc.title | Dynamics of two delay coupled van der Pol oscillators | - |
dc.type | Journal article | - |
dc.identifier.doi | 10.1016/j.mechrescom.2005.09.009 | - |
pubs.publication-status | Published | - |
dc.identifier.orcid | Hansen, C. [0000-0002-1444-4716] | - |
Appears in Collections: | Aurora harvest 2 Environment Institute publications Mechanical Engineering publications |
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