System Modeling: The Substrate for Neural Co-Evolution
Source
Carlos H. Morales
Author
Carlos H. Morales
Date
Key takeaways · AI-distilled
The piece uses a double pendulum as a proxy for near-chaotic hardware: an ideal frictionless simulation and a friction-damped one started from identical conditions swing in sync briefly before wildly diverging at the 'onset of chaos.'
The gap between an idealized simulation and a physically realistic one is largest exactly where the dynamics are most expressive, meaning a model trained only on the ideal simulation could learn to exploit a near-chaotic region that doesn't exist in real hardware.
Numerical solver choice matters as much as physical modeling: swapping a coarse Euler-method solver for a high-order one like DoPri shifts where the simulated chaos boundary falls, since rounding error behaves like an added physical perturbation near the edge of chaos.
The team frames its goal as finding a 'Goldilocks' level of abstraction rather than maximum fidelity, since a perfectly accurate simulation takes hours per run while their AI scientists need to run millions of passes.