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Explore the fundamental principles and complex dynamics of nonlinear wave processes occurring within excitable media. This first edition delves into the fascinating world of self-organizing patterns, reaction-diffusion systems, and the mathematical frameworks that govern these critical phenomena across various scientific disciplines.

Explore the fundamental steady state solutions for a general activator-inhibitor model, providing critical insights into how these complex reaction-diffusion systems achieve stable patterns and equilibria. This analysis is crucial for understanding biological pattern formation and the dynamics of various self-organizing systems.