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Using delay to quench undesirable vibrations |
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| Authors: | M K Suchorsky S M Sah R H Rand |
| Institution: | 1. Department of Mechanical and Aerospace Engineering, Cornell University, Ithaca, NY, USA 2. Faculty of Sciences A?n Chock, University Hassan II—A?n Chock, BP 5366, Maarif, Casablanca, Morocco 3. Department of Mathematics and Department of Mechanical and Aerospace Engineering, Cornell University, Ithaca, NY, USA |
| Abstract: | 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 ε=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. |
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