CHAOS: An Introduction to Dynamical Systems
by K. Alligood, T. Sauer, J.A. Yorke
CHAOS: An Introduction to Dynamical Systems is a new textbook aimed at
introducing the world of nonlinear dynamics and chaos to students in
mathematics and the sciences. The authors' goal is to explain the
basic concepts in a way that reflects the wide range of influences
present during the development of nonlinear dynamics,
from mathematics, theoretical science, experimental science, and
computer simulation.
The major themes are discrete dynamical systems, chaos, fractals,
topics in nonlinear differential equations, and bifurcations. The book
is designed to be used by undergraduates or beginning graduate
students who have completed the
calculus sequence and a course in differential equations and matrix
algebra. The material has been developed and class-tested by the
authors at two universities.
Special features in the text include:
- Computer Experiments, designed to be used with any
standard software package
- Challenges, each a tour through an advanced topic in
the form of an extended exercise, and
- Lab Visits, short reports on carefully-selected
experiments from the physical, chemical, or biological sciences which
illustrate concepts from the chapters.
Table of Contents
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