Variational Modelling: Energies, gradient flows, and large deviations
by Mark A. Peletier
Publisher: arXiv 2014
Number of pages: 64
Description:
The notes describe the methodology called Variational Modelling, and focus on the application to the modelling of gradient-flow systems. I describe the methodology itself in great detail, and explain why this is a rational modelling route.
Download or read it online for free here:
Download link
(700KB, PDF)
Similar books
Mathematical Principals of Dynamic Systems and the Foundations of Quantum Physicsby Eric Tesse - arXiv
This article will take up the question of what underlies the quantum formalism, whether it can be derived from simpler mathematical structures, and if so, what physical properties a system must possess in order for the formalism to hold.
(6829 views)
Extremes and Recurrence in Dynamical Systemsby Valerio Lucarini, et al. - arXiv
This book provides a comprehensive introduction for the study of extreme events in the context of dynamical systems. It provides an overview of the area, underlining its relevance for mathematics, natural sciences, engineering, and social sciences.
(1850 views)
Hyperbolic Manifolds, Discrete Groups and Ergodic Theoryby Curtis T. McMullen - Harvard University
Contents: Ergodic theory; Dynamics on hyperbolic surfaces; Orbit counting, equidistribution and arithmetic; Spectral theory; Mixing of unitary representations of SLnR; Amenability; The Laplacian; All unitary representations of PSL2(R); etc.
(3814 views)
Dynamical Systemsby Shlomo Sternberg - OER Commons
This book addresses the following topics: Iterations and fixed points; bifurcations; conjugacy; space and time averages; the contraction fixed point theorem; Hutchinson's theorem and fractal images; hyperbolicity; and symbolic dynamics.
(6550 views)