**Geometrical Theory of Dynamical Systems**

by Nils Berglund

**Publisher**: arXiv 2001**Number of pages**: 85

**Description**:

This text is a slightly edited version of lecture notes for a course to undergraduate Mathematics and Physics students. Contents: Examples of Dynamical Systems; Stationary and Periodic Solutions; Local Bifurcations; Introduction to Chaotic Dynamics.

Download or read it online for free here:

**Download link**

(2.2MB, PDF)

## Similar books

**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.

(

**10185**views)

**Extremes and Recurrence in Dynamical Systems**

by

**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.

(

**5779**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.

(

**17850**views)

**Mathematical Principles of Dynamic Systems and the Foundations of Quantum Physics**

by

**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.

(

**11694**views)