An Introduction to Nonlinear Chemical Dynamics: Oscillations, Waves, Patterns, and Chaos

Hardcover | September 1, 1998

byIrving R. Epstein, John A. Pojman

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Just a few decades ago, chemical oscillations were thought to be exotic reactions of only theoretical interest. Now known to govern an array of physical and biological processes, including the regulation of the heart, these oscillations are being studied by a diverse group across the sciences.This book is the first introduction to nonlinear chemical dynamics written specifically for chemists. It covers oscillating reactions, chaos, and chemical pattern formation, and includes numerous practical suggestions on reactor design, data analysis, and computer simulations. Assuming only anundergraduate knowledge of chemistry, the book is an ideal starting point for research in the field. The book begins with a brief history of nonlinear chemical dynamics and a review of the basic mathematics and chemistry. The authors then provide an extensive overview of nonlinear dynamics, startingwith the flow reactor and moving on to a detailed discussion of chemical oscillators. Throughout the authors emphasize the chemical mechanistic basis for self-organization. The overview is followed by a series of chapters on more advanced topics, including complex oscillations, biological systems,polymers, interactions between fields and waves, and Turing patterns. Underscoring the hands-on nature of the material, the book concludes with a series of classroom-tested demonstrations and experiments appropriate for an undergraduate laboratory.

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From the Publisher

Just a few decades ago, chemical oscillations were thought to be exotic reactions of only theoretical interest. Now known to govern an array of physical and biological processes, including the regulation of the heart, these oscillations are being studied by a diverse group across the sciences.This book is the first introduction to nonl...

Irving R. Epstein is at Brandeis University. John A. Pojman is at University of Southern Mississippi.

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Format:HardcoverDimensions:408 pages, 9.09 × 6.42 × 0.79 inPublished:September 1, 1998Publisher:Oxford University Press

The following ISBNs are associated with this title:

ISBN - 10:0195096703

ISBN - 13:9780195096705

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Table of Contents

Part 1: Overview1. Introduction--A Bit of History2. Fundamentals3. Apparatus4. Synthesis of Chemical Oscillations5. Analysis of Chemical Oscillations6. Waves and Patterns7. Computational ToolsPart II: Special Topics8. Complex Oscillations and Chaos9. Transport and External Field Effects10. Delays and Differential Delay Equations11. Polymer Systems12. Coupled Oscillators13. Biological Oscillators14. Turing Patterns15. Stirring and Mixing EffectsAppendix 1: DemonstrationsAppendix 2: Experiments for the Undergraduate Lab

Editorial Reviews

"This book tells the fascinating story of chemical and biological oscillations and chaos, waves, and patterns. The authors are established researchers in their own right. The introduction gives a lively and authentic account of the early history of this emergent discipline, which makes forentertaining anecdotal reading. The emergent discipline of nonlinear chemical dynamics has become richer with this very good textbook, wich is particularly strong in the authors' own research field and somewhat heterogeneous in the special topics. It is a valuable guide to the nonspecialist and itis most suitable for undergraduate and graduate courses with its well-selected demonstrations and its many references...highly recommendable text both stimulating and rewarding." -- F.W. Schneider, SIAM Review, Vol 42, No 2, 2000