Chaos and Dynamical Systems / David Feldman.

Format:

Book

Author/Creator:

Feldman, Daṿid, Author.

Series:

Primers in complex systems.

Primers in Complex Systems ; 14

Language:

English

Subjects (All):

Chaotic behavior in systems.

Physical Description:

1 online resource (263 pages).

Place of Publication:

Princeton, NJ : Princeton University Press, [2019]

Language Note:

In English.

Summary:

Chaos and Dynamical Systems presents an accessible, clear introduction to dynamical systems and chaos theory, an important and exciting area that has shaped many scientific fields. While the rules governing dynamical systems are well-specified and simple, the behavior of many dynamical systems is remarkably complex. Of particular note, simple deterministic dynamical systems produce output that appears random and for which long-term prediction is impossible. Using little math beyond basic algebra, David Feldman gives readers a grounded, concrete, and concise overview. In initial chapters, Feldman introduces iterated functions and differential equations. He then surveys the key concepts and results to emerge from dynamical systems: chaos and the butterfly effect, deterministic randomness, bifurcations, universality, phase space, and strange attractors. Throughout, Feldman examines possible 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 useful not only to students at the undergraduate and advanced levels, but also to researchers in the natural, social, and biological sciences.

Contents:

Frontmatter

CONTENTS

Preface

1. Introducing Iterated Functions

2. Introducing Differential Equations

3. Interlude: Mathematical Models and the Newtonian Worldview

4. Chaos I:The Butterfly Effect

5. Chaos II: Deterministic Randomness

6. Bifurcations: Sudden Transitions

7. Universality in Chaos

8. Higher-Dimensional Systems and Phase Space

9. Strange Attractors

10. Conclusion

Bibliography

Index

Notes:

Description based on online resource; title from PDF title page (publisher's Web site, viewed 06. Apr 2020)

ISBN:

9780691189390

0691189390

OCLC:

1103440222