Boris P Bezruchko

(Author)

Extracting Knowledge from Time Series: An Introduction to Nonlinear Empirical Modeling (2010)Paperback - 2010, 5 November 2012

Extracting Knowledge from Time Series: An Introduction to Nonlinear Empirical Modeling (2010)
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Part of Series
Springer Synergetics
Part of Series
Springer Series in Synergetics
Print Length
410 pages
Language
English
Publisher
Springer
Date Published
5 Nov 2012
ISBN-10
3642264824
ISBN-13
9783642264825

Description

Mathematical modelling is ubiquitous. Almost every book in exact science touches on mathematical models of a certain class of phenomena, on more or less speci?c approaches to construction and investigation of models, on their applications, etc. As many textbooks with similar titles, Part I of our book is devoted to general qu- tions of modelling. Part II re?ects our professional interests as physicists who spent much time to investigations in the ?eld of non-linear dynamics and mathematical modelling from discrete sequences of experimental measurements (time series). The latter direction of research is known for a long time as "system identi?cation" in the framework of mathematical statistics and automatic control theory. It has its roots in the problem of approximating experimental data points on a plane with a smooth curve. Currently, researchers aim at the description of complex behaviour (irregular, chaotic, non-stationary and noise-corrupted signals which are typical of real-world objects and phenomena) with relatively simple non-linear differential or difference model equations rather than with cumbersome explicit functions of time. In the second half of the twentieth century, it has become clear that such equations of a s- ?ciently low order can exhibit non-trivial solutions that promise suf?ciently simple modelling of complex processes; according to the concepts of non-linear dynamics, chaotic regimes can be demonstrated already by a third-order non-linear ordinary differential equation, while complex behaviour in a linear model can be induced either by random in?uence (noise) or by a very high order of equations.

Product Details

Authors:
Boris P BezruchkoDmitry A Smirnov
Book Edition:
2010
Book Format:
Paperback
Country of Origin:
NL
Date Published:
5 November 2012
Dimensions:
23.39 x 15.6 x 2.24 cm
ISBN-10:
3642264824
ISBN-13:
9783642264825
Language:
English
Location:
Berlin, Heidelberg
Pages:
410
Publisher:
Weight:
603.28 gm

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