Chemical Oscillations, Waves, and Turbulence (Dover Books on Chemistry)

Book Details

• Author: Y. Kuramoto

• Binding: Paperback

• Format: Import

• ISBN: 9780486428819

• Number of Pages: 164

• Release Date: 26-05-2003

• Language: English

About The Book

"[Book Title]" by Y. Kuramoto is a highly respected and frequently cited work that delves into two fascinating fields: pattern formation and the synchronization of oscillators. This book is a detailed exploration of the dynamics of many-oscillator systems of dissipative type, with a particular focus on oscillating reaction-diffusion systems.

Kuramoto’s book systematically applies the reductive perturbation method and the phase description method to understand the onset of collective rhythms, the formation of wave patterns, and diffusion-induced chemical turbulence. The first section introduces essential methods, covering topics such as the Stuart-Landau equation, the onset of oscillations in distributed systems, and the Ginzburg-Landau equations. These concepts lay the foundation for understanding how oscillators interact and synchronize in various physical systems.

The second part of the book brings theory into practice by illustrating its applications, including mutual entrainment, chemical waves, and chemical turbulence. Kuramoto’s work is essential for anyone interested in the mathematical modeling of complex systems, especially those in the field of pattern formation and synchronization in natural and artificial systems. With thorough explanations and helpful appendices, this book is both a valuable learning resource and a reference guide for researchers.