Emergent Spirograph-like Patterns from Artificial Swarming

Year: 2014 Authors: Jito Vanualailai

Core claim

A Lyapunov-based two-dimensional swarm model can generate bounded trajectories whose limit cycles form unique emergent visual patterns.

Topics

artificial swarming, emergent patterns, Lyapunov stability, limit cycles, computer simulation

Domains

nonlinear planar ODEs, gradient systems, Poincaré-Bendixson theorem, generative art, Spirograph-like patterns, visual pattern design, ornamental motifs

Methods

Lagrangian swarm modeling, Direct Method of Lyapunov, numerical simulation, parameter randomization

Media

computer-generated trajectories, color portraits, black-and-white plots

Source status

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