國立高雄大學圖資館 |

Language: English

Back

Fundamentals of stochastic nature sc...

Klyatskin, Valery I.

Fundamentals of stochastic nature sciences

Record Type:	Electronic resources : Monograph/item
Title/Author:	Fundamentals of stochastic nature sciencesby Valery I. Klyatskin.
Author:	Klyatskin, Valery I.
Published:	Cham :Springer International Publishing :2017.
Description:	xii, 190 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Stochastic systems.
Online resource:	http://dx.doi.org/10.1007/978-3-319-56922-2
ISBN:	9783319569222$q(electronic bk.)

Fundamentals of stochastic nature sciences
Klyatskin, Valery I.

Fundamentals of stochastic nature sciences[electronic resource] /by Valery I. Klyatskin. - Cham :Springer International Publishing :2017. - xii, 190 p. :ill. (some col.), digital ;24 cm. - Understanding complex systems,1860-0832. - Understanding complex systems..

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.

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.

ISBN: 9783319569222$q(electronic bk.)

Standard No.: 10.1007/978-3-319-56922-2doiSubjects--Topical Terms:

240201
Stochastic systems.

LC Class. No.: QA402

Dewey Class. No.: 003.76

Fundamentals of stochastic nature sciences
LDR:02752nmm a2200325 a 4500 001 512096
003 DE-He213
005 20171117134025.0
006 m d
007 cr nn 008maaau
008 171226s2017 gw s 0 eng d
020 $a 9783319569222$q(electronic bk.)
020 $a 9783319569215$q(paper)
024 7 $a 10.1007/978-3-319-56922-2 $2 doi
035 $a 978-3-319-56922-2
040 $a GP $c GP
041 1 $a eng $h rus
050 4 $a QA402
072 7 $a GPFC $2 bicssc
072 7 $a TEC000000 $2 bisacsh
082 0 4 $a 003.76 $2 23
090 $a QA402 $b .K66 2017
100 1 $a Klyatskin, Valery I. $3 710342
245 1 0 $a Fundamentals of stochastic nature sciences $h [electronic resource] / $c by Valery I. Klyatskin.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2017.
300 $a xii, 190 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a Understanding complex systems, $x 1860-0832
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.
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.
650 0 $a Stochastic systems. $3 240201
650 1 4 $a Engineering. $3 210888
650 2 4 $a Complexity. $3 274400
650 2 4 $a Complex Systems. $3 558544
650 2 4 $a Geotechnical Engineering & Applied Earth Sciences. $3 542182
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
830 0 $a Understanding complex systems. $3 560200
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-56922-2
950 $a Engineering (Springer-11647)