Clusters of biological organisms often show diverse collective motions. Considering the physical properties of active elements with mutual interactions, we propose a mathematical model of collective motion. Several kinds of cluster motion seen in nature, including collective rotation, chaos, and wandering, occur in computer simulations of our deterministic model. By introducing a set of dimensionless parameters, we categorize the collective motions and obtain their phase diagram. We analyze the collective motions with a disorder parameter and Lyapunov spectra to characterize their transitions. © 1996 The American Physical Society.
CITATION STYLE
Shimoyama, N., Sugawara, K., Mizuguchi, T., Hayakawa, Y., & Sano, M. (1996). Collective motion in a system of motile elements. Physical Review Letters, 76(20), 3870–3873. https://doi.org/10.1103/PhysRevLett.76.3870
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