Attractors.jl

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Algorithms to find basin boundary

3

There is no automated algorithm in DynamicalSystems.jl to explore the boundary between two basins. Here are some ideas from simple to difficult: 1. Compute the basins on a grid and...

awage

Parameter-by-parameter continuation using featurizing

11

So far the only continuation method using featurizing is the global pool version, based on MCBB. But there's no reason why we can't do a parameter-by-parameter continuation like with the...

KalelR

Alternative method for chaotic saddles in high dimensions

8

I just came across this paper: https://doi.org/10.1063/1.4973235  Very interesting. It appears to be an alternative method to the one @reykboerner is using in PR #61 . We should implement...

Datseris

Creating ics on grid for higher dimensions

4

This is the code I used to deal with the problem we discussed in Issue #76. There, using `basins_of_attraction` in high (maybe >5?) dimensional-systems wouldn't run, because the algorithm would...

KalelR

Grids of `AttractorViaRecurrences` unecessarily limit the number type to `Float64`

2

The grids used in `AttractorsViaRecurrences` convert all numbers to `Float64`. E.g., we have: ```julia function RegularGrid(grid::NTuple) D = length(grid) grid_steps = SVector{D,Float64}(step.(grid)) grid_maxima = SVector{D,Float64}(maximum.(grid)) grid_minima = SVector{D,Float64}(minimum.(grid)) return RegularGrid(grid_steps,...

Datseris

Necessary steps for this: - Make `basins_of_attraction` or `basins_fractions` return copies of the stored attractors - Ensure `reset!` resets the ID of latest attractor to 1. It doesn't matter for...

Datseris

The matching functionality offered by `RAFM` is very powerful but we don't really highlight the possibilities much in the docs. We have this great example of the henon map and...

Datseris

@KalelR and myself came across the following paper by Hana Krakovska and co-workers: https://www.cambridge.org/core/journals/european-journal-of-applied-mathematics/article/resilience-of-dynamical-systems/B277FB38B049FD4DECC2097E7460E4E3?utm_campaign=shareaholic&utm_medium=copy_link&utm_source=bookmark It provides several quantifiers for global stability (also called non-local stability also called resilience). Here is...

Datseris

Optimize feature selection for clustering (or in general finding attractors)

6

I have an idea of how we could make a function to optimize feature selection for clustering attractors. I will be creating this function while working on a new research...

Datseris

Simpler and clearer grouping configuration for AttractorsViaFeaturizing

5

The standard way to group features in the `AttractorsViaFeaturizing` method is to clusterize them using DBSCAN. As we've known for some time, the algorithm is more or less a black...

KalelR