Understanding Complex Systems

Fundamentals of Stochastic Nature Sciences

Authors: Klyatskin, Valery I.

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  • Deals with three types of the simplest dynamic systems: systems related to Gaussian random fields, to stochastic parametric excitation, and to stochastic parametric excitation fed by Gaussian pumping
  • Presents the fundamentals of stochastic dynamic systems and natural science
  • Written by a respected expert in the field
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  • ISBN 978-3-319-56922-2
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Hardcover $149.99
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Softcover $149.99
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  • ISBN 978-3-319-86036-7
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About this book

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.

Table of contents (10 chapters)

Table of contents (10 chapters)

Buy this book

eBook $109.00
price for USA in USD (gross)
  • ISBN 978-3-319-56922-2
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $149.99
price for USA in USD
  • ISBN 978-3-319-56921-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $149.99
price for USA in USD
  • ISBN 978-3-319-86036-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Fundamentals of Stochastic Nature Sciences
Authors
Series Title
Understanding Complex Systems
Copyright
2017
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG
eBook ISBN
978-3-319-56922-2
DOI
10.1007/978-3-319-56922-2
Hardcover ISBN
978-3-319-56921-5
Softcover ISBN
978-3-319-86036-7
Series ISSN
1860-0832
Edition Number
1
Number of Pages
XII, 190
Number of Illustrations
51 b/w illustrations, 11 illustrations in colour
Topics