Nonlinear Chemical Dynamics at WVU
The Showalter Research Group
2010 Fall Party
Group
and friends at group party (from left to right):
Mark Tinsley,
Tatsunari Sakurai, Simbarashe
Nkomo, Calistus Ngonhala, Desmond Yengi, Kenneth Showalter, Donna
Showalter, Fang Wang, Justin Legleiter, Elizabeth Yates, Darrell Collison
and
Kathleen Burke
Key words:
Traveling Waves, Subexcitable Media, Chemical Waves, Scroll
Waves, Excitable Media, Time Series Analysis, Uncertain
Destination Dynamics, Coherent Structure Analysis,
Spatiotemporal Chaos, Self-Segregation, Dynamical Systems,
Periodically Modulated Excitability, Hebbian Neural Connections,
Spatial Symmetry Breaking, Belousov-Zhabotinsky Reaction,
Feedback Stabilization, Spatiotemporal Patterns, Nonlinear
Chemical Reactions, Spatiotemporal Networks, Networks of
Excitable Nodes, Resonance Pacemakers, Wave Mediated
Synchronization, Nonuniform Oscillatory Media, Trigger Waves,
Oscillatory Decomposition of Formic Acid, Oregonator Model,
Limit Cycle, Pattern Formation, Bistability, Iodate-Arsenous
Acid Reaction, Propagating Fronts, Critical Slowing Down,
Washout Effects, Mushrooms and Isolas, Unstable Steady State,
Separatrix, Critical Point, Continuously Stirred Tank Reactor,
Relaxation Behavior, Reaction-Diffusion Fronts, Acidity Fronts,
Hysteresis Limits, Landolt Reaction, Empirical Rate Law, Cubic
Autocatalysis, Period Lengthening, Saddle-Loop Bifurcation,
Immobilized-Catalyst, Plateau Behavior, Period Doubling and
Chaos, Three-Variable Autocatalator, Convection in Autocatalytic
Reaction Fronts, Transient Chaos, Inhomogeneous Excitable Media,
Cross-Membrane Coupling, Controlling Chemical Chaos, False
Bifurcations, Canards, Transverse Coupling, Autocatalysis,
Map-Based Algorithm for Controlling Low-Dimensional Chaos,
Proportional Feedback, Mixed-Mode Oscillations, Signal
Transmission in Chemical Systems, Unstable Periodic Orbits,
Excitability, Wave Reflection, Wave Splitting, Nonaxisymmetric
and Axisymmetric Convection, Spatiotemporal Dynamics, Adaptive
Control Algorithm, Tracking Unstable Periodic Orbits, Complex
Labyrinths: Optimal Paths from Chemical Waves, Logic Gates in
Excitable Media, Quadratic and Cubic Reaction-Diffusion Fronts,
Anisotropy and Spiral Organizing Centers, Tracking Unstable
Turing Patterns, Mixed-Mode Spatiotemporal Chaos, Wave-Induced
Chemical Chaos, Nonlinear Control from Time Series, Chemical
Wave Logic Gates, Spiral Wave Formation, Target Patterns,
Nonlinear Prediction, Filtering, and Control, Competitive
Autocatalysis, Product Selectivity, Noise Supported Traveling
Waves, Subexcitable Media, Avalanche Behavior, Normal Modes for
Chemical Reactions, Self-Segregation, Competitive Chaotic
Populations, Periodically Modulated Excitability, Spatial
Symmetry Breaking, Feedback Stabilization , Unstable Waves,
Design and Control of Wave Propagation Patterns, Synchronization
of Spatiotemporal Patterns, Locally Coupled Excitable Media,
Collapse of Spatiotemporal Chaos, Wave Front Interaction Model,
Stabilized Wave Segments, Stochastic Resonance, Electrochemical
Aperiodic Spike Trains, Addressable Excitable Media,
Minimum-Risk Path Finding, Adaptive Amoebal Network, Collective
behavior of stabilized reaction-diffusion waves, Self-propelled
particles, Processional and rotational modes for multiple
interacting waves, Paths of minimum potential, Swarming
behavior, Collective behavior of particle-like chemical waves,
Dynamical Quorum Sensing, Quorum Sensing, Kuramoto
Synchronization, Large Populations of Chemical Oscillators,
Density-dependent transitions, Synchronized oscillatory
behavior, Global coupling, Emergence of Collective Behavior in
Groups of Excitable Catalyst-Loaded Particles: Spatiotemporal
Dynamical Quorum Sensing, A Nonbiological System Offers Insight
into Biological Synchronization
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