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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
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
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