This explorable is a spatial implementation of the Kuramoto Model for phase coupled oscillators. It illustrates spatial synchronization and the dynamics of phase singularities.
This explorable illustrates the beauty of strange attractors of selected two-dimensional chaotic maps. The attractors change shape as a function of their parameters.
This explorable illustrates a model for traffic and congestion and the phenomenon knowns as phantom traffic jams, spontaneously emergent congested traffic segments that move slowly and oppositely to the traffic.
This explorable illustrates a simple model for pedestrian dynamics. The model can explain spontaneous lane formation in opposing flows, congestion patterns, and phenomena like crowd turbulence.
This explorable illustrates spontaneous pattern formation in a spatial model in which points on a lattice interact by local positive feedback and negative long-range feedback.
The explorable illustrates dynamic pattern formation and spiral waves in a cyclic reaction-diffusion system. In the model three species prey on each other in a cyclic way, A eating B, B eating C, and C eating A.
This explorable illustrates a stockastic cellular automaton, a simple model that is able to generate fractal growth structures and a diverse set of patterns.
This explorable illustrates the chaotic sea of the famous two-dimensional map known as the kicked rotator or standard map. It's a very important system in nonlinear dynamics.
This explorable illustrates the phenomenon of percolation, when e.g. a liquid like water moves through a porous medium, like coffee. The percolation process is a critical phenomenon that exhibits interesting properties at the critical porosity of the medium.
This explorable illustrates the basic mechanism in evolutionary processes and how a population's fitness increases by random mutation and selection of most fit variants.
This explorable illustrates the dynamics of a simple neural network model that is able to self-organize a one- or two-dimensional representation of a complicate input space.
This explorable illustrates the emergence of collective intelligence in a model for a school of fish. The combination of speed differences in the light and the dark and cohesive swarm forces helps the swarm find the safe regions.
This explorable illustrates the basic mechanism of evolution. In a population of replicating species, species with the highest fitness dominate until mutations yield yet more fit species. The fitness of the entire population increases steadily.
Dieses explorable zeigt ein einfaches Verkehrsmodell, das in der Lage ist die spontane Entstehung von sogenannt Phantomstaus zu beschreiben, die sich entgegen der Verkehrsrichtung ausbreiten, wenn die Zielgeschwindigkeiten einzelener Verkehrsteilnehmer gross ist.
This explorable is an implementation of Conway's Game of Life, one of the most famous cellular automata models for the emergence of structure, replication and complex behavior generated by simple rules.
The XY model is a key model of statistical mechanics. Among other things, it describes self-organization of spatially arranged magnets but also concepts like opinion dynamics in social systems.
This explorable illustrates, as a representative of a broad range of dynamic phenomena, a simple model for the spatial spread of forest fires and the dynamic patterns they generate.
Dieses explorable zeigt ein einfaches Verkehrsmodell, das in der Lage ist die spontane Entstehung von sogenannt Phantomstaus zu beschreiben, die sich entgegen der Verkehrsrichtung ausbreiten, wenn die Zielgeschwindigkeiten einzelener Verkehrsteilnehmer gross ist.
The explorable illustrates spatio-temporal pattern formation in a system of pulse-coupled oscillators. The model is a generic model that yields spiral waves and target patterns depending on the parameter choices.
This explorable illustrates a model for pattern formation in microbial communities. Depending on parameters like food concentration, medium resistance and others, the emerging pattern exhibit different characteristics.
This explorable illustrates the dynamics and properties of the famous Ising Model of statistical mechanics. It's a lattice of spins / magnets arranged on a lattice. Each spin interacts with its neighbors and tried to align its direction with the neighborhood.
This explorable illustrates a dynamic network that explains the emergence of groups of uniform opinion. Nodes can change their opinion based on their open-mindedness and can rewire their connections to other nodes that are like them.
The explorable illustrates the behavior of a contagion process, like an epidemic. Susceptibles (S) can be infected by other infected sites (I), infected site become immune and recover (R), and when immunity wanes immune sites become susceptible again.