Fundamentals of stochastic nature sciences / Valery I. Klyatskin.
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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Full Text (via Springer) |
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| Format: | eBook |
| Language: | English Russian |
| Published: |
Cham, Switzerland :
Springer,
2017.
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| Series: | Understanding complex systems.
Springer complexity. |
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Table of Contents:
- 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.
- 8.2 Statistical Topography of Random Fields8.2.1 Conditions of Cluster Structure Formation; 8.2.2 Statistical Topography of Lognormal Random Fields; 9 Stochastic Transport Phenomena in a Random Velocity Field; 9.1 Clustering of the Density Field in a Random Velocity Field; 9.2 Probabilistic Description of a Magnetic Field and Its Energy in a Random #x83;; 9.2.1 Probabilistic Description of a Magnetic Field; 9.2.2 Probabilistic Description of Magnetic Field Energy; 9.2.3 The Critical Case of α=0 (DP=Ds); 10 Parametrically Excited Dynamic Systems with Gaussian Pumping.