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Mathematical statistics --- Nonlinear theories. --- Nonlinear problems --- Nonlinearity (Mathematics) --- Calculus --- Mathematical analysis --- Mathematical physics

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Nonlinear equations in the applied sciences

Partial differential equations --- Mathematical physics --- Nonlinear theories. --- Mathematical analysis. --- 517.1 Mathematical analysis --- Mathematical analysis --- Nonlinear problems --- Nonlinearity (Mathematics) --- Calculus

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Nonlinear time series methods have developed rapidly over a quarter of a century and have reached an advanced state of maturity during the last decade. Implementations of these methods for experimental data are now widely accepted and fairly routine; however, genuinely useful applications remain rare. This book focuses on the practice of applying these methods to solve real problems.To illustrate the usefulness of these methods, a wide variety of physical and physiological systems are considered. The technical tools utilized in this book fall into three distinct, but interconnected areas:

Time-series analysis --- Nonlinear theories --- Nonlinear theories. --- Time-series analysis. --- Mathematics --- Physical Sciences & Mathematics --- Mathematical Statistics --- Nonlinear problems --- Nonlinearity (Mathematics) --- Analysis of time series --- Calculus --- Mathematical analysis --- Mathematical physics --- Autocorrelation (Statistics) --- Harmonic analysis --- Mathematical statistics --- Probabilities

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Part I of this volume surveys the developments in the analysis of nonlinear phenomena in Japan during the past decade, while Part II consists of up-to-date original papers concerning qualitative theories and their applications.Dealt with here are nonlinear problems related to general analysis, fluid dynamics, mathematical biology and computer sciences, and their underlying mathematical structures, e.g. nonlinear waves and propagations, bifurcation phenomena, chaotic phenomena, and fractals.The volume is dedicated to Professor Masaya Yamaguti in celebration of his 60th birthday.

Differential equations, Nonlinear. --- Nonlinear theories. --- Nonlinear problems --- Nonlinearity (Mathematics) --- Calculus --- Mathematical analysis --- Mathematical physics --- Nonlinear differential equations --- Nonlinear theories --- Équations aux dérivées partielles --- Équations aux dérivées partielles --- Equations aux derivees partielles non lineaires

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Geophysics --- Nonlinear theories --- Géophysique --- Théories non linéaires --- Periodicals --- Périodiques --- Earth Sciences --- Engineering --- Mathematical Sciences --- Physics --- General and Others --- Satellites, Space Probes & Technology --- Calculus --- scaling and multifractals --- predictability --- nonlinear waves --- turbulence and diffusion --- chaos and nonlinear time series analysis --- nonlinear systems and dynamics --- Nonlinear theories. --- Geofysica. --- Nonlinear problems --- Nonlinearity (Mathematics) --- Mathematical analysis --- Mathematical physics --- Geological physics --- Terrestrial physics --- Earth sciences