Non-Asymptotic Theory of Waves in Excitable Media Across Nature and Technology

The non-asymptotic theory of waves in excitable media refers to the complex dynamics of wave phenomena in systems that exhibit excitable behavior, spanning both natural and technological contexts. Unlike traditional asymptotic theories that focus on long-term behavior, non-asymptotic approaches emphasize the transient, finite-time dynamics of wave propagation, pattern formation, and instability within excitable media. These systems reveal diverse wave behaviors. Understanding the non-asymptotic characteristics of these waves offers crucial insights into processes such as heart arrhythmias, neural signaling, chemical oscillations, and engineered wave-control mechanisms, making it a vital area of study across multiple fields. Non-Asymptotic Theory of Waves in Excitable Media Across Nature and Technology explores various wave processes in gaseous and condensed media, the flight model of gregarious locusts and bark beetles, emissions of prominences on the sun, and other processes. The methods described can also be used in other examples of wave propagation in excitable media. This book covers topics such as spatiotemporal chaos, spiral wave dynamics, and nonlinear wave propagation, and is a useful resource for scientists, academicians, engineers, and researchers.