a module for making square and hexagonal lattices
published 1.0.8 2 years agoThis explorable is a spatial implementation of the Kuramoto Model for phase coupled oscillators. It illustrates spatial synchronization and the dynamics of phase singularities.
published 1.1.1 9 months agoThis 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.
published 1.1.3 9 months agoThis explorable illustrates a simple and beautiful model for swarms, flocks and collective motion in animal populations.
published 1.1.4 9 months agoThe 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.
published 1.1.4 9 months agoThis 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.
published 1.1.3 9 months agoThis 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.
published 1.1.2 9 months agoThis explorable illustrates a famous game theoretic model, known as the prisoner's dilemma. On a lattice it can yield beautiful patterns and chaos.
published 1.1.3 6 months agoThis 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
published 1.1.9 9 months agoThis 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.
published 1.1.4 5 months agoThe 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.
published 1.1.4 5 months agoThis 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.
published 1.1.3 5 months agoThis is a model for collective behavior in animals, e.g. flocks of birds or schools of fish based on simple rules of interaction.
published 1.1.5 5 months agoThis 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.
published 1.1.1 9 months agoThis explorable illustrates pattern formation in bacterial populations in which different clones with identical fitness expand in space.
published 1.1.3 9 months agoThe explorable illustrates the properties of superdiffusive, scale-free random walks known as Lévy flights.
published 1.1.13 9 months agoThe 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.
published 1.1.5 9 months agoThis explorable illustrates dynamic patterns that emerge when collective motion and synchronization interact in a swarm of phase coupled oscillators.
published 1.1.2 6 months agoThis explorable illustrates a model for fractal growth patterns in natural systems based on the aggregation of randomly moving particles.
published 1.1.2 5 months agoThe 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.
published 1.1.3 9 months agoThis explorable illustrates oscillatory dynamics and spatio-temporal patterns in the most famous predator prey model on a lattice.
published 1.1.2 5 months agoThis explorable illustrates the beauty of strange attractors of selected two-dimensional chaotic maps. The attractors change shape as a function of their parameters.
published 1.1.1 9 months agoA collection of regular fractals that illustrates the nature of self-similarity
published 1.1.3 5 months ago