Logo

Around the Boundary of Complex Dynamics

Small book cover: Around the Boundary of Complex Dynamics

Around the Boundary of Complex Dynamics
by

Publisher: arXiv
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.

Home page url

Download or read it online for free here:
Download link
(1.5MB, PDF)

Similar books

Book cover: Encyclopedia of Dynamical SystemsEncyclopedia of Dynamical Systems
by - Scholarpedia
The encyclopedia covers differential equations, numerical analysis, bifurcations, topological dynamics, ergodic theory, hyperbolic dynamics, oscillators, pattern formation, chaos, statistical mechanics, control theory, and applications.
(13036 views)
Book cover: Dynamical SystemsDynamical Systems
by - OER Commons
This book addresses the following topics: Iterations and fixed points; bifurcations; conjugacy; space and time averages; the contraction fixed point theorem; Hutchinson's theorem and fractal images; hyperbolicity; and symbolic dynamics.
(10733 views)
Book cover: Variational Modelling: Energies, gradient flows, and large deviationsVariational Modelling: Energies, gradient flows, and large deviations
by - arXiv
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.
(9165 views)
Book cover: Chaos TheoryChaos Theory
by - 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.
(6470 views)