Modeling Complex Phenomena Using Multiscale Time Sequences
Final rept. 1 Aug 2006-31 Jul 2009
DUKE UNIV DURHAM NC OFFICE OF RESEARCH SUPPORT
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The purpose of the work funded by this grant was to study and model complex phenomena by using an approach that makes use of multiscale time sequences. The underlying idea is that a complex dynamical system can be better interpreted and modeled by taking into account how its dynamics behaves at different scales and how these scales relate to each other. This can be done by combining a set statistical fractal measures based on Hurst and Holder exponents, auto-regressive methods and Fourier and wavelet decomposition methods. The applications for this technology include mathematical algorithms to model and predict geophysical phenomena such as climate and weather patterns as well as biologicalbiomedical phenomena such as, for example, for the treatment of injured individuals.
- Atmospheric Physics
- Numerical Mathematics