Spontaneous lane formation, congestion and patterns in a simple model for interacting pedestrians

A model for cooperative autocatalytic chemical reactions

Patterns that emerge when collective motion and synchronization entangle

A model for cell aggregation by diffusing signal molecules

The difference between seeking new friends and seeking their friends instead

A combination of a model for collective behavior and the Schelling model

An organic simulation of the replicator-mutator equation

A model that captures segregation in human populations

Networks of Janus Oscillators exhibit a rich reservoir of dynamic patterns

Dynamics of the most famous cellular automaton

How speed variation may trigger persistent traffic congestion

A mechanism that may explain community structures in social networks

A visual exploration into the funky distribution of prime numbers

A simple model for critical behavior in a system of spins

Superdiffusive, Scale-Free Random Walks

This reaction-diffusion system generates a variety of spatio-temporal patterns

A geometric explanation of the central limit theorem

Spatial patterns, dynamics and criticality in forrest fire dynamics

Pattern formation and spiral waves in spatially distributed pulse-coupled oscillators

Counter-Intuitive Vaccination Strategies in Complex Networks

The emergence of a giant component in a complex network

Examples of attractors of two-dimensional chaotic maps

Four models that explain how vaccination not only protects you but also helps others

Pattern Formation in Microbial Communities

Dynamics of a simple neural network model

A dynamic network that explains the emergence of groups of uniform opinion

A model for fractal and self-similar growth patterns

An illustration of pattern formation in bacterial populations

Preferential attachment and the emergence of scale-free networks

Self-organization of spatially arranged magnets

Synchronization of Phase-Coupled Oscillators

An agent based model illustrating the key features of evolutionary dynamics

An illustration of the mechanisms involved in evolutionary processes

In this example a model school of fish collectively seeks a hideout

An illustration of one of the most prominent statistical physics models for criticality

Oscillatory Dynamics & Spatial Patterns of a Simple Predator Prey System

An example of chaotic dynamics in a simple mechanical system

Pattern formation in an epidemic model near its critical point

Collective Behavior - Schooling Fish & Flocking Birds - And Rainbow Droplets

A collection of regular fractals that illustrates the nature of self-similarity

An example for fractal growth patterns in natural systems

Dynamic pattern formation and spiral waves in a cyclic reaction-diffusion system

Explore the chaotic sea of a famous two-dimensional map

An example for contagion dynamics in a population

An simple model for spontaneous pattern formation in a spatial system

Explore the rainbow of dynamics generated by spatially coupled oscillators

Natural, Self-Similar Growth Patterns by Simple Rules