Patterns in excitable media : genesis, dynamics, and control /
by Sitabhra Sinha and S. Sridhar.
- First edition.
- 1 online resource (316 pages) : 126 illustrations
part Part I: Introducing Excitable Media -- chapter 1 Introducing excitable media -- chapter 2 The world of excitable systems -- chapter 3 Dynamics of patterns in excitable media -- chapter 4 Excitable media across scales: A gallery of examples -- part Part II: Dynamics in Disordered Excitable Media -- chapter 5 Localized defects and dynamics -- chapter 6 Spatial gradients and dynamics -- chapter 7 Distributed heterogeneities and dynamics -- chapter 8 Connection topology, networks, and dynamics -- part Part III: Controlling Dynamics of Excitable Media -- chapter 9 Control and dynamical systems -- chapter 10 Controlling multiperiodic behavior -- chapter 11 Control of reentrant waves and spirals -- chapter 12 Controlling spatiotemporal chaos -- chapter 13 Sample programs.
Excitable media comprise a class of models for a wide range of physical, chemical, and biological systems that exhibit spontaneous formation of spatial patterns. Patterns in Excitable Media: Genesis, Dynamics, and Control explores several aspects of the dynamics of such patterns-in particular their evolution upon interaction with structural and functional heterogeneities in the system.