Maps¶
Systems / Maps
Discrete-time systems. Iterate orbits, cobweb and bifurcation diagrams, and Lyapunov exponents directly — no integration needed.
\[ x_{n+1} = f(x_n) \]
26 systems · 5 subcategories
Define one¶
import tsdynamics as ts
# Discrete maps iterate — no integration step required:
sys = ts.systems.Henon()
traj = sys.iterate(steps=10_000)
exps = sys.lyapunov_spectrum()
Subcategories¶
| Subcategory | Systems | Dim | Examples |
|---|---|---|---|
| Chaotic maps | 9 | 1–3 | Chirikov, Henon, Ikeda … |
| Exotic maps | 7 | 2 | Bedhead, Bogdanov, GumowskiMira … |
| Geometric maps | 4 | 1–2 | Baker, Chebyshev, Circle … |
| Polynomial maps | 3 | 1–2 | DeJong, Gauss, KaplanYorke |
| Population maps | 3 | 1–2 | Logistic, MaynardSmith, Ricker |