Orbit — phase space, observed

lorenz · σ=10 ρ=28 β=2.667

drag rotate · shift-drag / right-drag pan · wheel zoom

Orbit.

integrate, reconstruct, measure

System

›

Attractor

steps

View

›

Projection (dim > 3)

Draw orbit over time

Speed

Slow auto-rotate

Show model orbit

data / system AL-RNN free run

III

Data

›

CSV / TSV, rows = time, numeric columns = variables. A header row is fine. Series with 1–2 dims are shown via delay embedding.

Examples

Model · AL-RNN

›

Almost-linear RNN (piecewise-linear SSM, arXiv:2506.07919): z′ = Az + WΦ_P(z) + h, ReLU on the last P of M units, identity readout, sparse teacher forcing every τ steps.

latent M

ReLU P

TF τ

seq len

batch

iters

stride

Analysis

›

Object of study

Lyapunov exponents, fixed points and the divergence demo need vector-field access: a closed-form ODE or the trained piecewise-linear model. DMD, D₂ and spectra run on any series. which source gives what?