{"product_id":"extracting-knowledge-from-time-series-an-introduction-to-nonlinear-empirical-modeling-von-boris-bezruchko-dimitry-smirnov","title":"Extracting Knowledge From Time Series","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.\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783642264825\"\u003e\u003ch3\u003eAn Introduction to Nonlinear Empirical Modeling\u003c\/h3\u003e\u003c\/div\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783642126000\"\u003e\u003ch3\u003eAn Introduction to Nonlinear Empirical Modeling\u003c\/h3\u003e\u003c\/div\u003e","brand":"Libri","offers":[{"title":"Softcover - 9783642264825","offer_id":39429485297757,"sku":"9783642264825","price":53.49,"currency_code":"EUR","in_stock":true},{"title":"Hardcover - 9783642126000","offer_id":40567124328541,"sku":"9783642126000","price":53.49,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/3beae562-902e-455d-a5e0-902fd7be2ab2.jpg?v=1773986382","url":"https:\/\/shop.autorenwelt.de\/products\/extracting-knowledge-from-time-series-an-introduction-to-nonlinear-empirical-modeling-von-boris-bezruchko-dimitry-smirnov","provider":"Autorenwelt Shop","version":"1.0","type":"link"}