Statistics – Computation
Scientific paper
Feb 2002
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002phrve..65b6213w&link_type=abstract
Physical Review E, vol. 65, Issue 2, id. 026213
Statistics
Computation
1
Nonlinear Dynamics And Chaos, Computational Methods In Statistical Physics And Nonlinear Dynamics, Chaotic Dynamics
Scientific paper
Chaotic fluctuations of the order parameter in a coupled two-dimensional phase map model are numerically investigated. We discuss the system-size N dependence of the statistical properties of rare fluctuations observed in the transition range between the quasiordered chaotic state and the fully developed one. It is found that the normalized probability distribution function (PDF) has a unique functional form irrespective of N. The asymptotic form of the PDF is discussed in connection with the universal distribution for correlated systems proposed by Bramwell et al. [Nature (London) 396, 552 (1998)]. Moreover, it is observed that the power spectrum PN(ω) of rare fluctuations asymptotically takes the power-law form PN(ω)~ω- (1+α) (α=0.6~0.7) irrespective of N. This result suggests that the temporal correlation decays as a stretched exponential.
Fujisaka Hirokazu
Tsubo Yasuhiro
Watanabe Takeshi
No associations
LandOfFree
Universality of chaotic rare fluctuations in a locally coupled phase map model does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Universality of chaotic rare fluctuations in a locally coupled phase map model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Universality of chaotic rare fluctuations in a locally coupled phase map model will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-1042927