Bounded Noises in Physics, Biology, and Engineering

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,...

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Corporate Author: SpringerLink (Online service)
Other Authors: d'Onofrio, Alberto. (Editor, http://id.loc.gov/vocabulary/relators/edt)
Language:English
Published: New York, NY : Springer New York : Imprint: Birkhäuser, 2013.
Edition:1st ed. 2013.
Series:Modeling and Simulation in Science, Engineering and Technology,
Subjects:
Online Access:https://doi.org/10.1007/978-1-4614-7385-5
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.