Table 3 Some Strogatz ODE instances
From: RILS-ROLS: robust symbolic regression via iterated local search and ordinary least squares
Output | Formula |
|---|---|
\(v'\) | \(-0.05 \cdot v^2 \sin (\theta )\) |
\(\theta '\) | \(v - cos(\theta )/v\) |
\(x'\) | \(10 \cdot ( y - \frac{1}{3}(x^3 - x ))\) |
\(y'\) | \(- \frac{y}{10}\) |
\(x'\) | \(20 - x - \frac{x \cdot y}{1 + 0.5 x^2 }\) |
\(y'\) | \(10 - \frac{x \cdot y}{1 + 0.5 x^2 }\) |
\(\theta '\) | \(\cot (\phi )\cos (\theta )\) |
\(\phi '\) | \(( \cos ^2(\phi ) + 0.1 \cdot \sin ^2 (\phi )) \sin (\theta )\) |