Bounded Noises in Physics, Biology, and Engineering

• Corporate Author: SpringerLink (Online service)
• Other Authors: d'Onofrio, Alberto. (Editor)
• Format: Electronic
• Language: English
• Published: New York, NY : Springer New York : Imprint: Birkhũser, 2013.
• Series: Modeling and Simulation in Science, Engineering and Technology,
• Subjects: Mathematics.; Distribution (Probability theory).; Engineering mathematics.; Mathematical Modeling and Industrial Mathematics.; Mathematical and Computational Biology.; Theoretical, Mathematical and Computational Physics.; Appl.Mathematics/Computational Methods of Engineering.; Probability Theory and Stochastic Processes.; Complex Systems.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-1-4614-7385-5

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,...

Table of Contents:

• Introduction
• Part I : Modeling of Bounded Noises and Their Applications in Physics
• On Bounded Stochastic Processes
• Dynamics of Systems With Randomly Disordered Periodic Excitations
• Noise-Induced Phenomena: Effects of Noises Based on Tsallis Statistics
• Dynamical Systems Driven by Dichotomous Noise
• Stochastic Oscillator : Brownian Motion With Adhesion
• Numerical Study of Energetic Stability For Harmonic Oscillator With Fluctuating Damping Parameter
• A Moment-Based Approach to Bounded Non-Gaussian Colored Noise
• Spatiotemporal Bounded Noises, and Their Application to the Ginzburg-Landau Equation
• Part II: Bounded Noises in the Framework of Discrete and Continuous Random Dynamical Systems
• Bifurcations of Random Differential Equations With Bounded Noise
• Effects of Bounded Random Perturbations on Discrete Dynamical Systems
• Part III: Bounded Stochastic Fluctuations in Biology
• Bounded Stochastic Perturbations May Induce Non-Genetic Resistance to Anti-Tumor Chemotherapy
• Interplay Between Cross Correlation and Delays in the Sine-Wienernoise-Induced Transitions
• Bounded Extrinsic Noises Affecting Biochemical Networks With Low Molecule Numbers
• Part IV: Bounded Noises: Applications in Engineering
• Almost Sure Stability of Fractional Viscoelastic Systems Driven By Bounded Noises
• Model Selection for Random Functions With Bounded Range. Applications in Science and Engineering
• From Model-Based to Data-Driven Filter Design.