Fundamentals of stochastic nature sciences

This book addresses the processes of stochastic structure formation in two-dimensional geophysical fluid dynamics based on statistical analysis of Gaussian random fields, as well as stochastic structure formation in dynamic systems with parametric excitation of positive random fields f(r, t) describ...

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Bibliographic Details
Main Author: Klyatskin, Valery Isaakovich, (Author)
Other Authors: Vinogradov, A., (Translator)
Format: eBook
Language: English
Published: Cham, Switzerland : Springer, 2017.
Series: Understanding complex systems,
Springer complexity.
Subjects:
Stochastic systems.
elektronické knihy
electronic books
ISBN: 9783319569222
9783319569215
Physical Description: 1 online resource (xii, 190 pages) : illustrations (some color)

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Table of contents

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020 |a 9783319569222  |q (electronic bk.) 
020 |z 9783319569215  |q (print) 
024 7 |a 10.1007/978-3-319-56922-2  |2 doi 
035 |a (OCoLC)985437072  |z (OCoLC)985693781  |z (OCoLC)985907046  |z (OCoLC)986158269  |z (OCoLC)986430110  |z (OCoLC)986634840  |z (OCoLC)986889326 
041 1 |a eng  |h rus 
100 1 |a Klyatskin, Valery Isaakovich,  |e author. 
245 1 0 |a Fundamentals of stochastic nature sciences /  |c Valery I. Klyatskin. 
264 1 |a Cham, Switzerland :  |b Springer,  |c 2017. 
300 |a 1 online resource (xii, 190 pages) :  |b illustrations (some color) 
336 |a text  |b txt  |2 rdacontent 
337 |a počítač  |b c  |2 rdamedia 
338 |a online zdroj  |b cr  |2 rdacarrier 
490 1 |a Understanding complex systems,  |x 1860-0832 
490 1 |a Springer complexity 
504 |a Includes bibliographical references. 
505 0 |a Two-dimensional geophysical fluid dynamics -- Parametrically excited dynamic systems -- Examples of stochastic dynamic systems -- Statistical characteristics of a random velocity field u(r, t) -- Lognormal processes, intermittency, and dynamic localization -- Stochastic parametric resonance -- Wave localization in randomly layered media -- Lognormal fields, statistical topography, and clustering -- Stochastic transport phenomena in a random velocity field -- Parametrically excited dynamic systems with Gaussian pumping -- Conclusion. 
506 |a Plný text je dostupný pouze z IP adres počítačů Univerzity Tomáše Bati ve Zlíně nebo vzdáleným přístupem pro zaměstnance a studenty 
520 |a This book addresses the processes of stochastic structure formation in two-dimensional geophysical fluid dynamics based on statistical analysis of Gaussian random fields, as well as stochastic structure formation in dynamic systems with parametric excitation of positive random fields f(r, t) described by partial differential equations. Further, the book considers two examples of stochastic structure formation in dynamic systems with parametric excitation in the presence of Gaussian pumping. In dynamic systems with parametric excitation in space and time, this type of structure formation either happens? or doesn?t! However, if it occurs in space, then this almost always happens (exponentially quickly) in individual realizations with a unit probability. In the case considered, clustering of the field f(r, t) of any nature is a general feature of dynamic fields, and one may claim that structure formation is the Law of Nature for arbitrary random fields of such type. The study clarifies the conditions under which such structure formation takes place. To make the content more accessible, these conditions are described at a comparatively elementary mathematical level by employing ideas from statistical topography. 
590 |a SpringerLink  |b Springer Complete eBooks 
650 0 |a Stochastic systems. 
655 7 |a elektronické knihy  |7 fd186907  |2 czenas 
655 9 |a electronic books  |2 eczenas 
700 1 |a Vinogradov, A.,  |e translator. 
830 0 |a Understanding complex systems,  |x 1860-0832 
830 0 |a Springer complexity. 
856 4 0 |u https://proxy.k.utb.cz/login?url=https://link.springer.com/10.1007/978-3-319-56922-2  |y Plný text 
992 |c NTK-SpringerENG 
999 |c 100059  |d 100059 
993 |x NEPOSILAT  |y EIZ 

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