**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

**Local Theory of Holomorphic Foliations and Vector Fields**

by

**Julio C. Rebelo, Helena Reis**-

**arXiv**

Informal lecture notes intended for graduate students about the standard local theory of holomorphic foliations and vector fields. Though the material presented here is well-known some of the proofs differ slightly from the classical arguments.

(

**8854**views)

**Invitation to Dynamical Systems**

by

**Edward R. Scheinerman**-

**Prentice Hall College Div**

Author invites readers from a wide range of backgrounds to explore the beauty and excitement of dynamical systems. Written for readers who want to continue exploring mathematics beyond linear algebra, but are not ready for highly abstract material.

(

**16024**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.

(

**11499**views)

**Chaos Theory**

by

**Kais A. Mohamedamen Al Naimee (ed.)**-

**InTech**

With a good background in nonlinear dynamics, chaos theory, and applications, the authors give a treatment of the basic principles of nonlinear dynamics in different fields. In addition, they show overlap with the traditional field of control theory.

(

**5322**views)