Modeling and Simulation in Science, Engineering and Technology

Bounded Noises in Physics, Biology, and Engineering

Editors: D'Onofrio, Alberto (Ed.)

  • ​​First book to comprehensively cover the topic of bounded noises
  • Application-oriented, yet rigorous, approach accessible to an interdisciplinary audience
  • Contributions from experts in the field​
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About this book

​​Since the parameters in dynamical systems of biological interest are inherently positive and bounded, bounded noises are a natural way to model the realistic stochastic fluctuations of a biological system that are caused by its interaction with the external world. Bounded Noises in Physics, Biology, and Engineering is the first contributed volume devoted to the modeling of bounded noises in theoretical and applied statistical mechanics, quantitative biology, and mathematical physics. It gives an overview of the current state-of-the-art and is intended to stimulate further research.

 

The volume is organized in four parts. The first part presents the main kinds of bounded noises and their applications in theoretical physics. The theory of bounded stochastic processes is intimately linked to its applications to mathematical and statistical physics, and it would be difficult and unnatural to separate the theory from its physical applications. The second is devoted to framing bounded noises in the theory of random dynamical systems and random bifurcations, while the third is devoted to applications of bounded stochastic processes in biology, one of the major areas of potential applications of this subject. The final part concerns the application of bounded stochastic processes in mechanical and structural engineering, the area where the renewed interest for non-Gaussian bounded noises started. Pure mathematicians working on stochastic calculus will find here a rich source of problems that are challenging from the point of view of contemporary nonlinear analysis.

 

Bounded Noises in Physics, Biology, and Engineering is intended for scientists working on stochastic processes with an interest in both fundamental issues and applications. It will appeal to a broad range of applied mathematicians, mathematical biologists, physicists, engineers, and researchers in other fields interested in complexity theory. It is accessible to anyone with a working knowledge of stochastic modeling, from advanced undergraduates to senior researchers.

Table of contents (16 chapters)

  • On Bounded Stochastic Processes

    Zhu, W. Q. (et al.)

    Pages 3-24

  • Dynamics of Systems with Randomly Disordered Periodic Excitations

    Dimentberg, M.

    Pages 25-41

  • Noise-Induced Phenomena: Effects of Noises Based on Tsallis Statistics

    Wio, Horacio S. (et al.)

    Pages 43-58

  • Dynamical Systems Driven by Dichotomous Noise

    Ridolfi, Luca (et al.)

    Pages 59-77

  • Stochastic Oscillator: Brownian Motion with Adhesion

    Gitterman, M.

    Pages 79-98

Buy this book

eBook $79.99
price for USA (gross)
  • ISBN 978-1-4614-7385-5
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $109.00
price for USA
  • ISBN 978-1-4614-7384-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $109.00
price for USA
  • ISBN 978-1-4939-5298-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Bounded Noises in Physics, Biology, and Engineering
Editors
  • Alberto D'Onofrio
Series Title
Modeling and Simulation in Science, Engineering and Technology
Copyright
2013
Publisher
Birkhäuser Basel
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4614-7385-5
DOI
10.1007/978-1-4614-7385-5
Hardcover ISBN
978-1-4614-7384-8
Softcover ISBN
978-1-4939-5298-4
Series ISSN
2164-3679
Edition Number
1
Number of Pages
XVI, 285
Number of Illustrations and Tables
48 b/w illustrations, 39 illustrations in colour
Topics