You signed in with another tab or window. Reload to refresh your session.You signed out in another tab or window. Reload to refresh your session.You switched accounts on another tab or window. Reload to refresh your session.Dismiss alert
Here, `attractors` is a dictionary that maps attractor labels (the integers) to attractors. In this case we have two fixed points, one at $(0.0,0.0)$ and one at $(4.5,6.0)$. Next, `basins` is a matrix of equal size to `grid`, where each value is an integer describing to which attractor's basin that state belongs.
38
+
Here, `attractors` is a dictionary that maps attractor labels (integers) to attractors. In this case we have two fixed points, one at $(0.0,0.0)$ and one at $(4.5,6.0)$. Next, `basins` is a matrix of equal size to `grid`, where each value is an integer describing to which attractor's basin that state belongs.
39
39
40
40
DynamicalSystems.jl also provides a simple interface for plotting the resulting basins. This uses [Makie.jl](https://docs.makie.org/stable/), an alternative plotting package to [Plots.jl](https://github.com/JuliaPlots/Plots.jl) (which is typically the preferred plotting package within the context of Catalyst). Generally, Makie is good at creating animations or interactive graphics (however, it is also a [popular competitor to Plots.jl for general-purpose plotting](https://juliapackagecomparisons.github.io/pages/plotting/)).
41
41
```@example dynamical_systems_basins
@@ -89,7 +89,7 @@ Here, the `autodiff=false` argument is required when Lyapunov spectrums are comp
89
89
```@example dynamical_systems_lyapunov
90
90
lyapunovspectrum(ds, 100)
91
91
```
92
-
Here, the largest exponent is positive, suggesting that the model is chaotic (or, more accurately, it has at least one chaotic attractor, to which we go to from the initial condition $(1.5, 1.5, 1.5)).
92
+
Here, the largest exponent is positive, suggesting that the model is chaotic (or, more accurately, it has at least one chaotic attractor, to which it go to from the initial condition $(1.5, 1.5, 1.5)).
93
93
94
94
Next, we consider the [Brusselator] model. First we simulate the model for two similar initial conditions, confirming that they converge to the same limit cycle:
0 commit comments