**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

**Introduction to Dynamical Systems: A Hands-on Approach with Maxima**

by

**Jaime E. Villate**

In this book we explore some topics on dynamical systems, using an active teaching approach, supported by computing tools. The subject of this book on dynamical systems is at the borderline of physics, mathematics and computing.

(

**6302**views)

**Computable Integrability**

by

**Alexey Shabat, Elena Kartashova**-

**arXiv**

A preliminary version of the textbook on integrable systems. Contents: General notions and ideas; Riccati equation; Factorization of linear operators; Commutativity of linear operators; Integrability of non-linear PDEs; Burgers-type equations.

(

**5031**views)

**Ergodic Optimization, Zero Temperature Limits and the Max-plus Algebra**

by

**A. T. Baraviera, R. Leplaideur, A. O. Lopes**-

**arXiv**

We review some basic notions in ergodic theory and thermodynamic formalism, as well as introductory results in the context of max-plus algebra, in order to exhibit some properties of equilibrium measures when temperature goes to zero.

(

**3165**views)

**An Introduction to Quantum Chaos**

by

**Mason A. Porter**-

**arXiv**

Nonlinear dynamics (''chaos theory'') and quantum mechanics are two of the scientific triumphs of the 20th century. The author gives a brief review of the origin and fundamentals of both quantum mechanics and nonlinear dynamics.

(

**7619**views)