 
Summary: APPLIED DYNAMICAL SYSTEMS
BASIC DYNAMICAL SYSTEMS:
intermittency and autocorrelation
Lecture Notes for Classes 15
David Arrowsmith
Dynamical systems theory of deterministic
transport(Lectures 510)
Rainer Klages
School of Mathematical Sciences
Queen Mary, University of London
March 16, 2009
2
Chapter 1
Basic dynamical systems and
intermittency
1.1 Maps of the interval
We consider in this course some basic connections between iteration of maps as dynamical systems
which exhibit intermittency, binary sequences and their autocorrelation properties. The study of
interactions are required to develop various models with physical characteristics. For example, the
study of packet traffic on communication networks requires the production of streams of binary
