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Patterns in excitable media : genesis, dynamics, and control / by Sitabhra Sinha and S. Sridhar.

By: Sinha, Sitabhra [author.].
Contributor(s): Sridhar, S [author.] | Taylor and Francis.
Material type: materialTypeLabelBookPublisher: Boca Raton, FL : CRC Press, an imprint of Taylor and Francis, 2014Edition: First edition.Description: 1 online resource (316 pages) : 126 illustrations.Content type: text Media type: computer Carrier type: online resourceISBN: 9780429097669.Subject(s): Excitation (Physiology) | Nonlinear systems | Pattern formation (Biology) | Pattern formation (Physical sciences) | MEDICAL / Biotechnology | SCIENCE / PhysicsAdditional physical formats: Print version: : No titleDDC classification: 500.201185 Online resources: Click here to view.
Contents:
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.
Abstract: 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.
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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.

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