Overview
- 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?
Part of the book series: Modeling and Simulation in Science, Engineering and Technology (MSSET)
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Table of contents (16 chapters)
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Front Matter
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Modeling of Bounded Noises and Their Applications in Physics
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Front Matter
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Bounded Noises in the Framework of Discrete and Continuous Random Dynamical Systems
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Front Matter
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Bounded Stochastic Fluctuations in Biology
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Front Matter
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Bounded Noises: Applications in Engineering
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Front Matter
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Keywords
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.
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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.
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Bounded Noises in Physics, Biology, and Engineering is intended for scientists working on stochasticprocesses 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.
Editors and Affiliations
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
DOI: https://doi.org/10.1007/978-1-4614-7385-5
Publisher: Birkhäuser New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Science+Business Media New York 2013
Hardcover ISBN: 978-1-4614-7384-8Published: 13 September 2013
Softcover ISBN: 978-1-4939-5298-4Published: 23 August 2016
eBook ISBN: 978-1-4614-7385-5Published: 12 September 2013
Series ISSN: 2164-3679
Series E-ISSN: 2164-3725
Edition Number: 1
Number of Pages: XVI, 285
Number of Illustrations: 48 b/w illustrations, 39 illustrations in colour
Topics: Mathematical Modeling and Industrial Mathematics, Mathematical and Computational Biology, Theoretical, Mathematical and Computational Physics, Mathematical and Computational Engineering, Probability Theory and Stochastic Processes, Complex Systems