Trajectories of Deformable Self-Propelled Particles

One of the simplest models for a deformable self-propelled particle based on symmetry arguments is given by the following equations:
Here is the velocity of the particle, is the vector of the half-axes of the particle, which is assumed to be shaped like an ellipse, and describes the deviation of the shape from a circle.

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DETAILS

T. Ohta, T. Ohkuma, "Deformable Self-Propelled Particles," arXiv:0811.3281v1, Nov. 20, 2008.
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