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|Title: ||Deformation of limit cycle under perturbations|
|Authors: ||Chen, K. L.|
Wang, Y. Q.
|Issue Date: ||6-May-2005 |
|Abstract: ||The robustness of limit cycles of nonlinear dynamical systems is investigated by adding a small random velocity field to the famous van der Pol (VDP) equation in its two-dimensional phase plane. Our numerical calculations show that a limit cycle does not change much under a weak random perturbation. Thus it confirms the conjecture that a limit cycle will make only a small deformation under an external perturbation. The idea can be used to understand ac response of self-sustained oscillations in nonlinear dynamical systems.|
|Description: ||Preprint submitted to Elsevier Science|
|Appears in Collections:||PHYS Preprints|
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