LEADER 04026nam  22006375  450 
001 9910254326403321
005 20200703125558.0
010   $a3-319-56922-8
024 7 $a10.1007/978-3-319-56922-2
035   $a(CKB)3850000000027394
035   $a(DE-He213)978-3-319-56922-2
035   $a(MiAaPQ)EBC6298228
035   $a(MiAaPQ)EBC5595474
035   $a(Au-PeEL)EBL5595474
035   $a(OCoLC)985437072
035   $a(PPN)200513001
035   $a(EXLCZ)993850000000027394
100   $a20170428d2017      u|         0
101 0 $aeng
135   $aurnn#008mamaa
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aFundamentals of Stochastic Nature Sciences /$fby Valery I. Klyatskin
205   $a1st ed. 2017.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2017.
215   $a1 online resource (XII, 190 p. 62 illus., 11 illus. in color.)
225 1 $aUnderstanding Complex Systems,$x1860-0832
311   $a3-319-56921-X 
320   $aIncludes bibliographical references.
327   $aTwo-dimensional geophysical ?uid dynamics.- Parametrically excited dynamic systems.- Examples of stochastic dynamic systems.- Statistical characteristics of a random velocity ?eld u(r, t).- Lognormal processes, intermittency, and dynamic localization -- Stochastic parametric resonance -- Wave localization in randomly layered media -- Lognormal ?elds, statistical topography, and clustering -- Stochastic transport phenomena in a random velocity ?eld -- Parametrically excited dynamic systems with Gaussian pumping -- Conclusion.
330   $aThis book addresses the processes of stochastic structure formation in two-dimensional geophysical fluid dynamics based on statistical analysis of Gaussian random fields, as well as stochastic structure formation in dynamic systems with parametric excitation of positive random fields f(r,t) described by partial differential equations. Further, the book considers two examples of stochastic structure formation in dynamic systems with parametric excitation in the presence of Gaussian pumping. In dynamic systems with parametric excitation in space and time, this type of structure formation either happens ? or doesn?t! However, if it occurs in space, then this almost always happens (exponentially quickly) in individual realizations with a unit probability. In the case considered, clustering of the field f(r,t) of any nature is a general feature of dynamic fields, and one may claim that structure formation is the Law of Nature for arbitrary random fields of such type. The study clarifies the conditions under which such structure formation takes place. To make the content more accessible, these conditions are described at a comparatively elementary mathematical level by employing ideas from statistical topography.
410  0$aUnderstanding Complex Systems,$x1860-0832
606   $aComputational complexity
606   $aStatistical physics
606   $aDynamics
606   $aGeotechnical engineering
606   $aComplexity$3https://scigraph.springernature.com/ontologies/product-market-codes/T11022
606   $aComplex Systems$3https://scigraph.springernature.com/ontologies/product-market-codes/P33000
606   $aGeotechnical Engineering & Applied Earth Sciences$3https://scigraph.springernature.com/ontologies/product-market-codes/G37010
615  0$aComputational complexity.
615  0$aStatistical physics.
615  0$aDynamics.
615  0$aGeotechnical engineering.
615 14$aComplexity.
615 24$aComplex Systems.
615 24$aGeotechnical Engineering & Applied Earth Sciences.
676   $a003.76
700   $aKlyatskin$b Valery I$4aut$4http://id.loc.gov/vocabulary/relators/aut$0934990
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910254326403321
996   $aFundamentals of Stochastic Nature Sciences$92105546
997   $aUNINA