https://mayalucia.dev/tags/model/ Recent content in Model on MayaLucIA Hugo -- 0.156.0 en-us Wed, 25 Feb 2026 12:00:00 +0100 https://mayalucia.dev/modules/mayajiva/bug-model/ Wed, 25 Feb 2026 12:00:00 +0100 https://mayalucia.dev/modules/mayajiva/bug-model/ <p>The bug is a Braitenberg-inspired vehicle that navigates using stochastic Langevin dynamics. It has a position, a heading, and a single steering input derived from its compass circuit. The locomotion model is intentionally minimal: an Euler&ndash;Maruyama integrator of heading and position, with rotational diffusion providing the &ldquo;random walk&rdquo; that makes exploration possible.</p> <h2 id="the-locomotion-law">The Locomotion Law</h2> <p>The bug moves at constant speed along its heading direction. Steering is governed by:</p> <ul> <li><strong>Goal-directed torque</strong> &mdash; derived from the difference between current heading and home direction (from path integrator)</li> <li><strong>Rotational noise</strong> &mdash; Gaussian white noise scaled by a diffusion coefficient</li> <li><strong>Compass input</strong> &mdash; the ring attractor&rsquo;s decoded heading, which itself depends on the quantum compass</li> </ul> <p>The balance between deterministic steering and stochastic exploration determines whether the bug can navigate home. This is quantified by the <strong>Péclet number</strong> &mdash; the ratio of directed transport to diffusion.</p>