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Deformation of limit cycle under perturbations

Authors Chen, KL
Sun, ZZ
Yin, S.
Wang, YQ
Wang, XR
Issue Date 2005
Source Superlattices and microstructures , v. 37, (3), 2005, MAR, p. 185-191
Summary 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. (C) 2005 Published by Elsevier Ltd
Note Preprint submitted to Elsevier Science
ISSN 0749-6036
Language English
Format Article
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