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edmkit

Gallery

Each system in edmkit.generate at the parameters used in scripts/gallery.py, which draws every figure below. For most systems there are three views: the time series, the attractor, and the spectrum. Initial transients are dropped. The spectra are Morlet scalograms from edmkit.wavelet.cwt, with the shaded cone of influence marking times that edge effects make unreliable.

Lorenz

Section titled “Lorenz”

lorenz

Lorenz time series Lorenz attractor Lorenz spectrum

Rössler

Section titled “Rössler”

rossler

Rössler time series Rössler attractor Rössler spectrum

Li three-scroll

Section titled “Li three-scroll”

three_scroll

Li three-scroll time series Li three-scroll attractor Li three-scroll spectrum

Chua

Section titled “Chua”

chua

Chua time series Chua attractor Chua spectrum

Duffing

Section titled “Duffing”

duffing

Duffing time series Duffing attractor Duffing spectrum

Double pendulum

Section titled “Double pendulum”

double_pendulum

Path of the lower bob of a double pendulum

Euler spiral

Section titled “Euler spiral”

euler_spiral

Euler spiral

Hindmarsh–Rose

Section titled “Hindmarsh–Rose”

hindmarsh_rose

Hindmarsh–Rose time series Hindmarsh–Rose attractor Hindmarsh–Rose spectrum

FitzHugh–Nagumo

Section titled “FitzHugh–Nagumo”

fitzhugh_nagumo

FitzHugh–Nagumo time series FitzHugh–Nagumo attractor FitzHugh–Nagumo spectrum

Morris–Lecar

Section titled “Morris–Lecar”

morris_lecar

Morris–Lecar time series Morris–Lecar attractor Morris–Lecar spectrum

Rulkov map

Section titled “Rulkov map”

rulkov_map

Rulkov map time series Rulkov map attractor Rulkov map spectrum

Pyloric circuit

Section titled “Pyloric circuit”

pyloric

Pyloric circuit membrane potentials Pyloric circuit calcium attractor Pyloric circuit spectrum

Mackey–Glass

Section titled “Mackey–Glass”

mackey_glass

Mackey–Glass time series Mackey–Glass delay embedding Mackey–Glass spectrum

Lorenz 96

Section titled “Lorenz 96”

lorenz96

Lorenz 96 heatmap of all variables Lorenz 96 spectrum

Coupled chain

Section titled “Coupled chain”

Lorenz, Rössler and Duffing systems coupled as A → B → C ← D, built from lorenz, rossler and duffing. Useful as ground truth for CCM.

Chain time series Chain attractors Chain coupling between driver and driven nodes Chain spectrum

CTRNN

Section titled “CTRNN”

ctrnn

CTRNN connectivity matrix CTRNN activity heatmap CTRNN two-unit slices CTRNN spectrum

Lotka–Volterra

Section titled “Lotka–Volterra”

lotka_volterra

Lotka–Volterra time series Lotka–Volterra attractor Lotka–Volterra spectrum

Kuramoto

Section titled “Kuramoto”

kuramoto

Kuramoto phase heatmap Kuramoto mean against natural frequencies