**Perturbation Theory of Dynamical Systems**

by Nils Berglund

**Publisher**: arXiv 2001**Number of pages**: 111

**Description**:

These are lecture notes for a course given to undergraduate Mathematics and Physics students. It covers a few selected topics from perturbation theory at an introductory level. Only certain results are proved, and for some of the most important theorems, sketches of the proofs are provided.

Download or read it online for free here:

**Download link**

(4.8MB, PDF)

## Similar books

**Substitutions in Dynamics, Arithmetics, and Combinatorics**

by

**Pierre Arnoux, et al.**-

**Springer**

A certain category of infinite strings of letters on a finite alphabet is presented here, chosen among the 'simplest' possible one may build, both because they are very deterministic and because they are built by simple rules.

(

**6242**views)

**Complex Dynamics and Renormalization**

by

**Curtis T. McMullen**-

**Princeton University Press**

Addressing researchers and graduate students in the active meeting ground of analysis, geometry, and dynamics, this book presents a study of renormalization of quadratic polynomials and a rapid introduction to techniques in complex dynamics.

(

**4550**views)

**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.

(

**6175**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.

(

**3038**views)