Multiscale analysis of complex time series; integration of chaos and random fractal theory, and beyond.9780471654704
Multiscale analysis of complex time series; integration of chaos and random fractal theory, and beyond.
Ed. by Jianbo Gao et al.
The authors (of the U. of Florida, Purdue U., and the firm BioSieve) present a unified treatment of the use of chaos theory chaos theory, in mathematics, physics, and other fields, a set of ideas that attempts to reveal structure in aperiodic, unpredictable dynamic systems such as cloud formation or the fluctuation of biological populations. and random fractal theory for data analysis and signal processing See DSP. at a level suitable for a one-year graduate-level course for students of electrical engineering electrical engineering: see engineering.
Branch of engineering concerned with the practical applications of electricity in all its forms, including those of electronics. , computer science, mechanical engineering, mathematics, finance, population ecology, and other fields. Following the introduction and overview, chapters address probability theory and stochastic processes, Fourier analysis and wavelet (mathematics) wavelet - A waveform that is bounded in both frequency and duration. Wavelet tranforms provide an alternative to more traditional Fourier transforms used for analysing waveforms, e.g. sound. multiresolution analysis, fractal geometry, self-similar stochastic processes, stable laws and Levy motions, long memory processes and structure-function-based multifractal analysis, multiplicative mul·ti·pli·ca·tive
1. Tending to multiply or capable of multiplying or increasing.
2. Having to do with multiplication.
mul multifractals, stage-dependent multiplicative processes, models of power-law-type behavior, bifurcation theory, chaotic time series analysis, power-law sensitivity to initial conditions, and multiscale analysis by the scale-dependent Lyapunov exponent.
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