Chaos and Dynamical Systems

Chaos and Dynamical Systems provides an accessible introduction to dynamical systems and chaos theory, exploring complex behaviors and their scientific implications. It covers key concepts, results, and applications, making it useful for students and researchers in various fields.

Format: Paperback / softback
Length: 264 pages
Publication date: 06 August 2019
Publisher: Princeton University Press

Chaos and Dynamical Systems presents an accessible and comprehensive introduction to dynamical systems and chaos theory, which are crucial and fascinating areas that have significantly impacted various scientific disciplines. While the rules governing dynamical systems are well-defined and straightforward, the behavior of many dynamical systems is remarkably complex. Of particular interest, simple deterministic dynamical systems generate output that appears random and for which long-term prediction is impossible. Using minimal math beyond basic algebra, David Feldman provides readers with a grounded, concrete, and concise overview.

In the initial chapters, Feldman introduces iterated functions and differential equations. He then surveys the key concepts and results that have emerged from dynamical systems, including chaos and the butterfly effect, deterministic randomness, bifurcations, universality, phase space, and strange attractors. Throughout, Feldman examines the potential scientific implications of these phenomena for the study of complex systems, highlighting the relationships between simplicity and complexity, order and disorder.

Filling the gap between popular accounts of dynamical systems and chaos and textbooks aimed at physicists and mathematicians, Chaos and Dynamical Systems will be highly valuable to students at the undergraduate and advanced levels, as well as researchers in the natural, social, and biological sciences.

Weight: 384g
Dimension: 215 x 140 x 19 (mm)
ISBN-13: 9780691161525