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Subjects / keywords: scaling and multifractals, predictability, nonlinear waves, turbulence and diffusion, chaos and nonlinear time series analysis, nonlinear systems and dynamics; Science: Physics: Geophysics. Cosmic physics

The classical filtering and prediction problem is re-examined using the Bode-Shannon representation of random processes and the “state-transition” method of analysis of dynamic systems. New results are: (1) The formu...

Genetic algorithms are playing an increasingly important role in studies of complex adaptive systems, ranging from adaptive agents in economic theory to the use of machine learning techniques in the design of complex dev...

The world's forests influence climate through physical, chemical, and biological processes that affect planetary energetics, the hydrologic cycle, and atmospheric composition. These complex and nonlinear forest-atmospher...

Previous article Next article Fractional Brownian Motions, Fractional Noises and ApplicationsBenoit B. Mandelbrot and John W. Van NessBenoit B. Mandelbrot and John W. Van Nesshttps://doi.org/10.1137/1010093PDFBibTexSecti...

This paper is based on the elementary remark that the extraction of gauge invariant results from a formally gauge invariant theory is ensured if one employs methods of solution that involve only gauge covariant quantitie...

The newly inaugurated Research Resource for Complex Physiologic Signals, which was created under the auspices of the National Center for Research Resources of the National Institutes of Health, is intended to stimulate c...

Subjects / keywords: nonlinear processes, nonlinear phenomena, nonlinear modelling, nonlinear analysis modelling, nonlinear analysis control; Science: Mathematics: Analysis

Subjects / keywords: control systems, control theory, nonlinear processes, automation, fault tolerant control; Technology: Mechanical engineering and machinery: Control engineering systems. Automatic machinery (General)

Subjects / keywords: biophotonics, nonlinear processes, optical information processing, plasmonics, quantum optics, photovoltaics; Technology: Engineering (General). Civil engineering (General): Applied optics. Photonics

Subjects / keywords: Mathematics; Lag; Applied mathematics; Inference; Nonlinear system; Asymptotic analysis; Econometrics; Statistical inference; Statistics; Computer science; Physics; Quantum mechanics

Abstract. Many scientists have made use of the wavelet method in analyzing time series, often using popular free software. However, at present there are no similar easy to use wavelet packages for analyzing two time seri...