Conditional Lyapunov Exponent Depending on Spectrum of Input Noise in Common-Noise-Induced Synchronization
Summary :
We study the synchronization of dynamical systems induced by common additional external colored noise. In particular, we consider the special case that the external input noise is generated by a linear second-order differential equation forced by Gaussian white noise. So the frequency spectrum of this noise is not constant. In the case that noise-free dynamics is chaotic, we find examples where the synchronization is enhanced when the peak of the input noise is close to the peak of the noise-free dynamics in frequency space. In the case that noise-free dynamics is non-chaotic, we do not observe this phenomenon.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E91-A No.9 pp.2535-2539
- Publication Date
- 2008/09/01
- Publicized
- Online ISSN
- 1745-1337
- DOI
- 10.1093/ietfec/e91-a.9.2535
- Type of Manuscript
- Special Section PAPER (Special Section on Nonlinear Theory and its Applications)
- Category
- Nonlinear Phenomena
Authors
Keyword
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Shin-itiro GOTO, Kazuyuki YOSHIMURA, Peter DAVIS, "Conditional Lyapunov Exponent Depending on Spectrum of Input Noise in Common-Noise-Induced Synchronization" in IEICE TRANSACTIONS on Fundamentals,
vol. E91-A, no. 9, pp. 2535-2539, September 2008, doi: 10.1093/ietfec/e91-a.9.2535.
Abstract: We study the synchronization of dynamical systems induced by common additional external colored noise. In particular, we consider the special case that the external input noise is generated by a linear second-order differential equation forced by Gaussian white noise. So the frequency spectrum of this noise is not constant. In the case that noise-free dynamics is chaotic, we find examples where the synchronization is enhanced when the peak of the input noise is close to the peak of the noise-free dynamics in frequency space. In the case that noise-free dynamics is non-chaotic, we do not observe this phenomenon.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1093/ietfec/e91-a.9.2535/_p
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@ARTICLE{e91-a_9_2535,
author={Shin-itiro GOTO, Kazuyuki YOSHIMURA, Peter DAVIS, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Conditional Lyapunov Exponent Depending on Spectrum of Input Noise in Common-Noise-Induced Synchronization},
year={2008},
volume={E91-A},
number={9},
pages={2535-2539},
abstract={We study the synchronization of dynamical systems induced by common additional external colored noise. In particular, we consider the special case that the external input noise is generated by a linear second-order differential equation forced by Gaussian white noise. So the frequency spectrum of this noise is not constant. In the case that noise-free dynamics is chaotic, we find examples where the synchronization is enhanced when the peak of the input noise is close to the peak of the noise-free dynamics in frequency space. In the case that noise-free dynamics is non-chaotic, we do not observe this phenomenon.},
keywords={},
doi={10.1093/ietfec/e91-a.9.2535},
ISSN={1745-1337},
month={September},}
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TY - JOUR
TI - Conditional Lyapunov Exponent Depending on Spectrum of Input Noise in Common-Noise-Induced Synchronization
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 2535
EP - 2539
AU - Shin-itiro GOTO
AU - Kazuyuki YOSHIMURA
AU - Peter DAVIS
PY - 2008
DO - 10.1093/ietfec/e91-a.9.2535
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E91-A
IS - 9
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - September 2008
AB - We study the synchronization of dynamical systems induced by common additional external colored noise. In particular, we consider the special case that the external input noise is generated by a linear second-order differential equation forced by Gaussian white noise. So the frequency spectrum of this noise is not constant. In the case that noise-free dynamics is chaotic, we find examples where the synchronization is enhanced when the peak of the input noise is close to the peak of the noise-free dynamics in frequency space. In the case that noise-free dynamics is non-chaotic, we do not observe this phenomenon.
ER -
English
