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Nonlinear Walkers

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<strong>Nonlinear</strong><br />

<strong>Walkers</strong><br />

Thanasis<br />

Kehagias,<br />

Faculty of<br />

Engineering,<br />

Aristotle<br />

University of<br />

Thessaloniki<br />

Introduction<br />

If closest neighbor is closer than d 1 , the walker turns away from<br />

him.<br />

{ − (rm ∗ − r<br />

∆u n =<br />

n ) if ‖r n − r m ∗‖ < d 1<br />

0 else.<br />

where m ∗ = arg min ‖r n − r m ‖<br />

m∈{1,...,N}<br />

The<br />

Mathematical<br />

Model<br />

The Trajectory<br />

Generator<br />

The Animator<br />

Experiments<br />

Mathematical<br />

Questions<br />

Thanasis Kehagias,Faculty of Engineering, Aristotle University <strong>Nonlinear</strong> of Thessaloniki <strong>Walkers</strong> January 17, 2013 8 / 21

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