**Around the Boundary of Complex Dynamics**

by Roland K. W. Roeder

**Publisher**: arXiv 2015**Number of pages**: 56

**Description**:

We introduce the exciting field of complex dynamics at an undergraduate level while reviewing, reinforcing, and extending the ideas learned in an typical first course on complex analysis. Julia sets and the famous Mandelbrot set will be introduced and interesting properties of their boundaries will be described.

Download or read it online for free here:

**Download link**

(1.5MB, PDF)

## Similar books

**Introduction to the Theory of Infinite-Dimensional Dissipative Systems**

by

**Constantin I. Chueshov**-

**ACTA**

An introduction to infinite-dimensional dissipative dynamical systems. The book outlines a variety of tools applied in the study of nonlinear dynamical distributed systems. The results have applications to many areas of physics and engineering.

(

**7240**views)

**Data Assimilation: A Mathematical Introduction**

by

**K.J.H. Law, A.M. Stuart, K.C. Zygalakis**-

**arXiv.org**

This book provides a systematic treatment of the mathematical underpinnings of work in data assimilation. Authors develop a framework in which a Bayesian formulation of the problem provides the bedrock for the derivation and analysis of algorithms.

(

**1485**views)

**Lectures on Topics In One-Parameter Bifurcation Problems**

by

**P. Rabier**-

**Tata Institute of Fundamental Research**

This set of lectures gives a synthetic exposition for the study of one-parameter bifurcation problems. By this, we mean the analysis of the structure of their set of solutions through the same type of general arguments in various situations.

(

**5172**views)

**Geometrical Theory of Dynamical Systems**

by

**Nils Berglund**-

**arXiv**

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.

(

**6725**views)