Bounded Noises in Physics, Biology, and Engineering, 1st Edition

  • Published By:
  • ISBN-10: 1461473853
  • ISBN-13: 9781461473855
  • DDC: 500
  • Grade Level Range: College Freshman - College Senior
  • 285 Pages | eBook
  • Original Copyright 2013 | Published/Released May 2014
  • This publication's content originally published in print form: 2013

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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

Front Cover.
Other Frontmatter.
Editorial Board.
Title Page.
Copyright Page.
1: Modeling of Bounded Noises and Their Applications in Physics.
2: On Bounded Stochastic Processes.
3: Dynamics of Systems with Randomly Disordered Periodic Excitations.
4: Noise-Induced Phenomena: Effects of Noises Based on Tsallis Statistics.
5: Dynamical Systems Driven by Dichotomous Noise.
6: Stochastic Oscillator: Brownian Motion with Adhesion.
7: Numerical Study of Energetic Stability for Harmonic Oscillator with Fluctuating Damping Parameter.
8: A Moment-Based Approach to Bounded Non-Gaussian Colored Noise.
9: Spatiotemporal Bounded Noises and Their Application to the Ginzburg-Landau Equation.
10: Bounded Noises in the Framework of Discrete and Continuous Random Dynamical Systems.
11: Bifurcations of Random Differential Equations with Bounded Noise.
12: Effects of Bounded Random Perturbations on Discrete Dynamical Systems.
13: Bounded Stochastic Fluctuations in Biology.
14: Bounded Stochastic Perturbations May Induce Nongenetic Resistance to Antitumor Chemotherapy.
15: Interplay Between Cross Correlation and Delays in the Sine-Wiener Noise-Induced Transitions.
16: Bounded Extrinsic Noises Affecting Biochemical Networks with Low Molecule Numbers.
17: Bounded Noises: Applications in Engineering.
18: Almost-Sure Stability of Fractional Viscoelastic Systems Driven by Bounded Noises.
19: Model Selection for Random Functions with Bounded Range: Applications in Science and Engineering.
20: From Model-Based to Data-Driven Filter Design.