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Design and Control of Wave Propagation Patterns in Excitable Media
T. Sakurai, E. Mihaliuk, F. Chirila, and K. Showalter, "Design and Control of Wave Propagation Patterns in Excitable Media," Science 296, 2009-2012 (2002).
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Complex Networks
M. R. Tinsley, J. Cui, F. V. Chirila, A. Taylor, S. Zhong, and K. Showalter, "Spatiotemporal networks in addressable excitable media," Phys. Rev. Lett. 95, 038306 (1-4) (2005).
A. J. Steele, M. Tinsley, and K. Showalter, "Spatiotemporal Dynamics of Networks of Excitable Nodes," Chaos 16, 015110-1-9 (2006).
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Spatiotemporal Networks in Addressable Excitable Media
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Synchronization and Dynamical Quorum Sensing – Global Coupling
A. F. Taylor, M. R. Tinsley, F. Wang, Z. Huang, and K. Showalter, '' Dynamical Quorum Sensing and Synchronization in Large Populations of Chemical Oscillations," Science 323, 614-617 (2009). '' Supporting Online Material."
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Population Density Dependent Behavior of Discrete Chemical Oscillators
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Synchronization and Dynamical Quorum Sensing – Local Coupling
Mark R. Tinsley, Annette F. Taylor, Zhaoyang Huang, and Kenneth Showalter, '' Emergence of Collective Behavior in Groups of Excitable Catalyst-Loaded Particles: Spatiotemporal Dynamical Quorum Sensing," Phys. Rev. Lett. 102, 158301-1-4 (2009).
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Population Density Dependent Behavior of Discrete Chemical Oscillators
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Collective Behavior in Excitable Media: Interacting Particle-Like Waves
A. J. Steele, M. R. Tinsley, and K. Showalter, ''Collective Behavior of Stabilized Reaction-Diffusion Waves," Chaos 18, 026108-1-8 (2008).
M. R. Tinsley, A. J. Steele, and K. Showalter, ''Collective Behavior of Particle-Like Chemicle Waves," Eur. Phys. J. Special Topics 165, 161-167 (2008).
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Collective Behavior of Particle-Like Chemical Waves
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Wave Propagation Induced by Noise
S. Kádár, J. Wang, and K. Showalter, "Noise Supported Traveling Waves in Subexcitable Media," Nature 391, 770-772 (1998).
J. Wang, S. Kádár, P. Jung, and K. Showalter, "Noise Driven Avalanche Behavior in Subexcitable Media," Phys. Rev. Lett. 82, 855-888 (1999).
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Wave Formation in Three-Dimensional Excitable Media
T. Amemiya, S. Kádár, P. Kettunen, and K. Showalter, "Spiral Wave Formation in Three-Dimensional Excitable Media," Phys. Rev. Lett. 77, 3244-3247 (1996).
