Using delay to quench undesirable vibrations

作者：Suchorsky M K; Sah S M; Rand R H^*

来源：Nonlinear Dynamics, 2010, 62(1-2): 407-416.

DOI：10.1007/s11071-010-9727-1

• Differential-delay equations
• Hopf bifurcation
• Perturbation methods

A van der Pol type system with delayed feedback is explored by employing the two variable expansion perturbation method. The perturbation scheme is based on choosing a critical value for the delay corresponding to a Hopf bifurcation in the unperturbed epsilon=0 system. The resulting amplitude-delay relation predicts two Hopf bifurcation curves, such that in the region between these two curves oscillations will be quenched. The perturbation results are verified by comparison with numerical integration.

• 出版日期2010-10