Fundamentals of Stochastic Nature Sciences

• Main Author: Klyatskin, Valery I. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2017.
• Series: Understanding Complex Systems,
• Subjects: Engineering.; Geotechnical engineering.; System theory.; Complexity, Computational.; Complexity.; Complex Systems.; Geotechnical Engineering & Applied Earth 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) describe...

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.