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This book addresses the fundamental question of how to construct mathematical models for the evolution of dynamical systems from experimentally-obtained time series. It places emphasis on chaotic signals and nonlinear modeling and discusses different approaches to the forecast of future system evolution. In particular, it teaches readers how to construct difference and differential model equations depending on the amount of a priori information that is available on the system in addition to the experimental data sets. This book will benefit graduate students and researchers from all natural sciences who seek a self-contained and thorough introduction to this subject.

Chaotic behavior in systems -- Mathematical models. --- Synergetics. --- Physical Sciences & Mathematics --- Physics --- Atomic Physics --- Sciences - General --- Mathematical models. --- Game theory. --- Games, Theory of --- Theory of games --- Models, Mathematical --- Physics. --- Geophysics. --- Economics, Mathematical. --- Statistical physics. --- Dynamical systems. --- Environmental sciences. --- Economic theory. --- Statistical Physics, Dynamical Systems and Complexity. --- Geophysics/Geodesy. --- Quantitative Finance. --- Economic Theory/Quantitative Economics/Mathematical Methods. --- Environmental Physics. --- Mathematical models --- Mathematics --- Simulation methods --- Physical geography. --- Finance. --- Complex Systems. --- Statistical Physics and Dynamical Systems. --- Mathematical statistics --- Economic theory --- Political economy --- Social sciences --- Economic man --- Funding --- Funds --- Economics --- Currency question --- Geography --- Statistical methods --- Economics, Mathematical . --- Environmental science --- Science --- Mathematical economics --- Econometrics --- Geological physics --- Terrestrial physics --- Earth sciences --- Dynamical systems --- Kinetics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Statics --- Methodology

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

This book addresses the fundamental question of how to construct mathematical models for the evolution of dynamical systems from experimentally-obtained time series. It places emphasis on chaotic signals and nonlinear modeling and discusses different approaches to the forecast of future system evolution. In particular, it teaches readers how to construct difference and differential model equations depending on the amount of a priori information that is available on the system in addition to the experimental data sets. This book will benefit graduate students and researchers from all natural sciences who seek a self-contained and thorough introduction to this subject.

Physics. --- Statistical Physics, Dynamical Systems and Complexity. --- Geophysics/Geodesy. --- Quantitative Finance. --- Game Theory/Mathematical Methods. --- Environmental Physics. --- Physical geography. --- Finance. --- Economics, Mathematical. --- Physique --- Géographie physique --- Finances --- Mathématiques économiques --- Chaotic behavior in systems --- -Synergetics --- 519.55 --- System theory --- Self-organizing systems --- Chaos in systems --- Chaos theory --- Chaotic motion in systems --- Differentiable dynamical systems --- Dynamics --- Nonlinear theories --- Mathematical models