Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10643591 | Superlattices and Microstructures | 2005 | 7 Pages |
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 the ac response of self-sustained oscillations in nonlinear dynamical systems.
Related Topics
Physical Sciences and Engineering
Materials Science
Electronic, Optical and Magnetic Materials
Authors
K.L. Chen, Z.Z. Sun, S. Yin, Y.Q. Wang, X.R. Wang,