Automatic generation of self-organized virtual crowd using chaotic perturbation

Human crowds organize themselves spontaneously in a confined environment when crowd density exceeds certain critical value. This self-organization behaviour of crowd motion can be observed from formation of walking lane with similar walking direction. In this work, we proposed a modified social force model, which is originally proposed by Helbing. Individuality, irregularity and unpredictability are characteristics of crowd motion. These properties are chaotic properties of nonlinear dynamical equation. Using this equation, chaotic perturbation is introduced into social force model to take into account the properties of crowd motion. It is shown that individuality, irregularity and unpredictability of crowd motion can eventually lead the crowd into self-organization.