Cespe UnB

Editorial Office:
R. S. Oyarzabal

Technical Support:
D. H. Diaz
M. A. Gomez
W. Abrahão
G. Oliveira

Publisher by
Knobook Pub



Global wavelet analysis of impure chaotic dynamics

doi: 10.6062/jcis.2016.07.01.0105

(Free PDF)


Paulo G. F. Zeferino, A. Zanandrea and M. W. Beims


In this paper we introduce the spectral complex index in order to characterize the variability pattern of different chaotic dynamics. This index is obtained from the global wavelet analysis (GWA) of a chaotic signal with impurities (a stochastic noise component). The parameter is defined as the absolute distance between the powers with and without impurity (following the same principle of the KL divergence but not in the full entropic definition). The results suggest that, due to the Global Wavelet Spectrum logarithmic properties, this new spectral method provides a high sensitive measure for characterization of at least three different properties of the underlying dynamical process such as (i) the intrinsic noise level, (ii) the nature of the nonlinear deterministic rule (discrete or continuous) and (iii) the presence or not of spatial correlation.


Large scale structures; Observational cosmology; Model comparison; Computational astronomy.


[1] Packard, N. H., J. P. Crutchfield, J. D. Farmer, R. S. Shaw, Phys. Rev. Lett. 45: 712-716, 1980.

[2] Kants, H., T. Schereiber. Nonlinear time series analysis, Cambridge University Press, UK, 1999.

[3] Ge, T., Cui, Y., Lin, W., Kurths, J., Liu, C., New J. of Physics 14: 2-11, 2012.

[4] Chian, A. C. -L., Rempel, E. L., Macau, E. E., Rosa, R. R., and Christiansen, F. Phys. Rev. E 65: 035203 (R), 2002.

[5] Beims, M. W., Rech, P. C., Gallas, J. A. C., Physica A 295: 276-279, 2001

[6] Osborne, A. R., A. Provenzale. Physica D 35: 357-381, 1989.


Combining wavelets and linear spectral mixture model for MODIS satellite sensor time-series analysis
doi: 10.6062/jcis.2008.01.01.0005
Freitas and Shimabukuro(Free PDF)

Riddled basins in complex physical and biological systems
doi: 10.6062/jcis.2009.01.02.0009
Viana et al.(Free PDF)

Use of ordinary Kriging algorithm and wavelet analysis to understanding the turbidity behavior in an Amazon floodplain
doi: 10.6062/jcis.2008.01.01.0006
Alcantara.(Free PDF)

A new multi-particle collision algorithm for optimization in a high performance environment
doi: 10.6062/jcis.2008.01.01.0001
Luz et al.((Free PDF)

Reviewer Guidelines
(Under Construction)
Advertises Media Information