Nonlinear Chemical Dynamics

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