Chaos and Dynamical Systems
eBook - PDF

Chaos and Dynamical Systems

  1. English
  2. PDF
  3. Available on iOS & Android
eBook - PDF

Chaos and Dynamical Systems

About this book

Chaos and Dynamical Systems presents an accessible, clear introduction to dynamical systems and chaos theory, important and exciting areas that have 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.

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Yes, you can access Chaos and Dynamical Systems by David P. Feldman in PDF and/or ePUB format, as well as other popular books in Mathematics & Complex Analysis. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Cover
  2. Contents
  3. Preface
  4. 1. Introducing Iterated Functions
  5. 2. Introducing Differential Equations
  6. 3. Interlude: Mathematical Models and the Newtonian Worldview
  7. 4. Chaos I: The Butterfly Effect
  8. 5. Chaos II: Deterministic Randomness
  9. 6. Bifurcations: Sudden Transitions
  10. 7. Universality in Chaos
  11. 8. Higher-Dimensional Systems and Phase Space
  12. 9. Strange Attractors
  13. 10. Conclusion
  14. Bibliography
  15. Index