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Counter-Intuitive Vaccination Strategies in Complex Networks.
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 a model for fractal growth patterns in natural systems based on the aggregation of randomly moving particles.
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.
The explorable illustrates the properties of superdiffusive, scale-free random walks known as Lévy flights.
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 the Kuramoto model for phase coupled oscillators. This model is used to describe synchronization phenomena in natural systems, e.g. the flash synchronization of fire flies or wall-mounted clocks.
This is a model for collective behavior in animals, e.g. flocks of birds or schools of fish based on simple rules of interaction.
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 medi
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.
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.
Natural, Self-Similar Growth Patterns by Simple Rules
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 dynamic patterns that emerge when collective motion and synchronization interact in a swarm of phase coupled oscillators.
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 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.
This explorable illustrates a simple and beautiful model for swarms, flocks and collective motion in animal populations.
This explorable illustrates a famous game theoretic model, known as the prisoner's dilemma. On a lattice it can yield beautiful patterns and chaos.
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 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.