|
HKUST Institutional Repository >
Physics >
PHYS Preprints >
Please use this identifier to cite or link to this item:
http://hdl.handle.net/1783.1/2127
|
| Title: | Deformation of limit cycle under perturbations |
| Authors: | Chen, K. L.
Sun, Zhouzhou
Yin, S.
Wang, Y. Q.
Wang, Xiang-Rong |
| Keywords: | Superlattice
Vertical transport
Nonlinear
Limit cycle |
| 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 |
| URI: | http://hdl.handle.net/1783.1/2127 |
| Appears in Collections: | PHYS Preprints
|
Files in This Item:
| File |
Description |
Size | Format |
|---|
| deform.pdf | | 999Kb | Adobe PDF | View/Open |
|
All items in this Repository are protected by copyright, with all rights reserved.
|
