Dynamics of two delay coupled van der Pol oscillators

Pergamon - Elsevier Ltd
Publication Type:
Journal Article
Mechanics Research Communications, 2006, 33 (5), pp. 614 - 627
Issue Date:
Full metadata record
Files in This Item:
Filename Description SizeFormat
2010001804OK.pdf1.76 MBAdobe PDF
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.
Please use this identifier to cite or link to this item: