RECURRENCE PLOTS

Yes, this is correct

Probably your two data sets have different length. Both for the crqa, both data sets should have equal length.

Hi,

in this case you have to use the function crp2 of the CRP Toolbox.

Best
Norbert

Hi,

you can use the function crqad of the CRP Toolbox.

Best
Norbert

If you use x and y as the state components then the assumption is that both form the phase space, i.e., embedding is usually not necessary. If you chose embedding anyway, then the embedding need to be the same for both. Theoretically, one should consider to use the highest embedding dimension, but p...

Hi, I think an answer depends on your research question. For example, do you need a time resolved RQA? From your plots I can see that you divided your very short time series again in smaller chunks of length 40. This is really very short. You should know that then the statistical reliability of the ...

you can plot with or you can simply use the interactive mode of the function: (simply drop the left-hand output argument)

you can use the function crp2 in the CRP toolbox. this allows you to consider the x- and y-component as the dimensions of the phase space trajectory directly. if your data vector x is as you wrote with 1st column as time, 2nd column the x-component, and 3rd column the y-component, then you can do cr...

Hi Denise, interesting data, indeed! :D What you did is the construction of the joint recurrence plot. This is one possible solution. I am not sure why you have multiplied also the 2nd player with the 1st player. But when you simply multiply the RPs of the x- and y-component of the 1st player, this ...

Hi, when using the ACF, I would suggest to chose a delay where the ACF value falls below 1/e. Using MI, I agree with your selection of 200. Regarding your question on the selection for each time series: it depends on the research question. Without knowing more about the data and the research questio...

I would suggest to use the option "nonorm" to avoid the centering and standardisation of the data. When using embedding dimension of 1 the results should be the same for Euclidean and Maximum norm. The interpretation is similar but be aware that there is no phase space trajectory. We could also cons...

There is nothing to be implemented further. If you have only a binary time series, you just need to ensure that your threshold is smaller than 1. This will give the same results as using the identity relationship (i.e., threshold = 0).

Yes, this is possible. This is also called "recurrence on a nominal scale" or "symbolic recurrences". There are several studies already using this approach. The difference to the standard recurrence approach is that instead of a neighbourhood of some size ε a recurrence can now be defined by the exa...

Thanks for your careful checking of the code. You are probably right! In the original version, the embedding used a fixed delay of tau = 1. Therefore, the considered line is a relict of these days. But as you said, it should be corrected to consider the delay. I will check the code and improve it wi...

new location for the CRP plugin:
http://tocsy.pik-potsdam.de/CRPtoolbox/ ... plugin.php