IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
Online ISSN : 1745-1337
Print ISSN : 0916-8508
Special Section on Nonlinear Theory and its Applications
Conditional Lyapunov Exponent Depending on Spectrum of Input Noise in Common-Noise-Induced Synchronization
Shin-itiro GOTOKazuyuki YOSHIMURAPeter DAVIS
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2008 年 E91.A 巻 9 号 p. 2535-2539

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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.
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© 2008 The Institute of Electronics, Information and Communication Engineers
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