ODEs¶
Systems / ODEs
Continuous-time systems. Write the right-hand side; TSDynamics lowers it to the Rust engine and integrates with adaptive Dormand–Prince, implicit BDF, or fixed-step schemes.
\[ \dot{x} = f(x, t) \]
136 systems · 9 subcategories
Define one¶
import tsdynamics as ts
# Pick any continuous system and integrate it:
sys = ts.systems.Lorenz()
traj = sys.integrate(final_time=100.0, dt=0.01)
Subcategories¶
| Subcategory | Systems | Dim | Examples |
|---|---|---|---|
| Chaotic attractors | 50 | 3–32 | Chua, Duffing, KuramotoSivashinsky … |
| Chemical & biological systems | 16 | 3–6 | HindmarshRose, BelousovZhabotinsky, CaTwoPlus … |
| Climate & geophysics | 13 | 3 | ArnoldBeltramiChildress, AtmosphericRegime, BickleyJet … |
| Coupled systems | 18 | 3 | Bouali, Bouali2, BurkeShaw … |
| Exotic systems | 17 | 3–6 | ArnoldWeb, BeerRNN, CellularNeuralNetwork … |
| Oscillatory systems | 8 | 2–3 | Aizawa, AnishchenkoAstakhov, Lissajous2D … |
| Physical systems | 8 | 3–4 | DoublePendulum, Blasius, Colpitts … |
| Population dynamics | 4 | 3–10 | CoevolvingPredatorPrey, Finance, KawczynskiStrizhak … |
| Spatial fields | 2 | 1024–4608 | GrayScott, SwiftHohenberg |