Homogenization in Time of Singularly Perturbed Mechanical Systems

• Main Author: Bornemann, Folkmar (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1998.
• Edition: 1st ed. 1998.
• Series: Lecture Notes in Mathematics, 1687
• Subjects: Mathematical analysis.; Analysis (Mathematics).; Integral equations.; Dynamics.; Ergodic theory.; Statistical physics.; Dynamical systems.; Numerical analysis.; Chemometrics.; Analysis.; Integral Equations.; Dynamical Systems and Ergodic Theory.; Complex Systems.; Numerical Analysis.; Math. Applications in Chemistry.

This book is about the explicit elimination of fast oscillatory scales in dynamical systems, which is important for efficient computer-simulations and our understanding of model hierarchies. The author presents his new direct method, homogenization in time, based on energy principles and weak conver...

Table of Contents:

• Homogenization of natural mechanical systems with a strong constraining potential
• Applications
• Adiabatic results in quantum theory and quantum-classical coupling.