| 000 | 03828nam a22005895i 4500 | ||
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| 001 | 978-3-319-56922-2 | ||
| 003 | DE-He213 | ||
| 005 | 20220801220059.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 170428s2017 sz | s |||| 0|eng d | ||
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_a9783319569222 _9978-3-319-56922-2 |
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_a10.1007/978-3-319-56922-2 _2doi |
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| 050 | 4 | _aTA352-356 | |
| 050 | 4 | _aQC20.7.N6 | |
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_aTBJ _2bicssc |
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_a515.39 _223 |
| 100 | 1 |
_aKlyatskin, Valery I. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut _948230 |
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| 245 | 1 | 0 |
_aFundamentals of Stochastic Nature Sciences _h[electronic resource] / _cby Valery I. Klyatskin. |
| 250 | _a1st ed. 2017. | ||
| 264 | 1 |
_aCham : _bSpringer International Publishing : _bImprint: Springer, _c2017. |
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| 300 |
_aXII, 190 p. 62 illus., 11 illus. in color. _bonline resource. |
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| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
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| 347 |
_atext file _bPDF _2rda |
||
| 490 | 1 |
_aUnderstanding Complex Systems, _x1860-0840 |
|
| 505 | 0 | _aTwo-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 | _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. | ||
| 650 | 0 |
_aDynamics. _948231 |
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| 650 | 0 |
_aNonlinear theories. _93339 |
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| 650 | 0 |
_aSystem theory. _93409 |
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| 650 | 0 |
_aGeotechnical engineering. _94958 |
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| 650 | 1 | 4 |
_aApplied Dynamical Systems. _932005 |
| 650 | 2 | 4 |
_aComplex Systems. _918136 |
| 650 | 2 | 4 |
_aGeotechnical Engineering and Applied Earth Sciences. _931829 |
| 710 | 2 |
_aSpringerLink (Online service) _948232 |
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| 773 | 0 | _tSpringer Nature eBook | |
| 776 | 0 | 8 |
_iPrinted edition: _z9783319569215 |
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_iPrinted edition: _z9783319569239 |
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_iPrinted edition: _z9783319860367 |
| 830 | 0 |
_aUnderstanding Complex Systems, _x1860-0840 _948233 |
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| 856 | 4 | 0 | _uhttps://doi.org/10.1007/978-3-319-56922-2 |
| 912 | _aZDB-2-ENG | ||
| 912 | _aZDB-2-SXE | ||
| 942 | _cEBK | ||
| 999 |
_c78180 _d78180 |
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