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Title: Noise-induced distortion of the mean limit cycle of nonlinear oscillators
We study the change in the size and shape of the mean limit cycle of a stochastically driven nonlinear oscillator as a function of noise amplitude. Such dynamics occur in a variety of nonequilibrium systems, including the spontaneous oscillations of hair cells of the inner ear. The noise-induced distortion of the limit cycle generically leads to its rounding through the elimination of sharp (high-curvature) features through a process we call corner cutting. We provide a criterion that may be used to identify limit cycle regions most susceptible to such noise-induced distortions. By using this criterion, one may obtain more meaningful parametric fits of nonlinear dynamical models from noisy experimental data, such as those coming from spontaneously oscillating hair cells.  more » « less
Award ID(s):
1709785
PAR ID:
10133417
Author(s) / Creator(s):
; ;
Date Published:
Journal Name:
Physical review and Physical review letters index
Volume:
99
ISSN:
0094-0003
Page Range / eLocation ID:
062124
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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