Dimension increase in filtered chaotic signals

Details Dimension increase in filtered chaotic signals Dimension increase in filtered chaotic signals

Mar 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988phrvl..60..979b&link_type=abstract

Physical Review Letters (ISSN 0031-9007), vol. 60, March 14, 1988, p. 979-982. SNSF-supported research.

Physics

86

Chaos, Fractals, Laser Outputs, Liapunov Functions, Nuclear Magnetic Resonance, Rayleigh-Benard Convection, Low Pass Filters, Strange Attractors

Scientific paper

An increase in fractal dimension is shown to occur in filtered chaotic signals. The dependence of the Liapunov dimension on the filter parameters is used to predict the behavior of the information dimension which is directly evaluated for two experimental systems: the NMR laser and Rayleigh-Benard convection. Good quantitative agreement with the theoretical predictions is found. The understanding of the role of filtering not only clarifies aspects relevant in the calculation of fractal dimensions, but also yields an indirect but precise way to evaluate Liapunov exponents.

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