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 spontaneous pattern formation in a spatial model in which points on a lattice interact by local positive feedback and negative long-range feedback.
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 oscillatory dynamics and spatio-temporal patterns in the most famous predator prey model on a lattice.
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 model for fractal growth patterns in natural systems based on the aggregation of randomly moving particles.
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 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.
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 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 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 pattern formation in bacterial populations in which different clones with identical fitness expand in space.
This explorable illustrates dynamic patterns that emerge when collective motion and synchronization interact in a swarm of phase coupled oscillators.
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 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 basic mechanism in evolutionary processes and how a population's fitness increases by random mutation and selection of most fit variants.
This explorable illustrates two dimensional random walks and the central limit theorem. Although random walks may differ on a small scale, as time progress and they all looks the same from a distance.
The explorable illustrates the properties of superdiffusive, scale-free random walks known as Lévy flights.