RECURRENCE PLOTS

The answer is that you have not embedded your time series. Without embedding you will similar dynamics in positive and negative time direction, i.e., x(i, i+1, i+2,...) = x(j, j-1, j-2, ...). This will cause diagonals perpendicular to the main diagonal. This should be explained in the Physics Report...

Yes, your second guess is correct. I thought that it would be clear from our explanations.

I don't know where the problem could be. I have to look for our code. Perhaps we can provide it here for reproducing the results.

Hi Toni, sure, I'm still including papers in the bibliography. If you have something which is not yet included, you can post it here or (better) submit it directly using the "Submit Article" link at the site http://www.recurrence-plot.tk/bibliography.php Thanks for supporting this database...

No, phase synchronisation is somethin different. Bruce was looking for an alignement of two different time axes. The function in the CRP toolbox is crp2.

Hi Toni,

I look forward to see your approach.

Best regards
Norbert

You can find these information in our Physics Reports paper.
N. Marwan, M. C. Romano, M. Thiel, J. Kurths: Recurrence Plots for the Analysis of Complex Systems, Physics Reports, 438(5-6), 237-329, 2007

Best
Norbert

Yes, sorry I meant crp2.

No, at least not in a common sense. What you could do if you like to compare two different systems with many measurements (i.e. channels) is to use these measurements as state space vectors. In the CRP toolbox you have to use the crqa2 function, not the standard crqa.

Have a look here: http://forum.recurrence-plot.tk/viewtop ... f=12&t=191

RQA of JRPs? How you would interpret the results?

Thanks for pointing to the typo (it should state "jrp" of course). I have corrected it. For calculating JRP from multiple time series just calculate the RPs of them separately and then multiply them. The CRP toolbox includes only a very simple JRP function for illustration purposes. There ...

yes, you can do it. for example: % create recurrence plot X = crp(timeseries,'silent'); % get distributions of line lengths % (actually you should apply here the Theiler window before, but I omit it for simplification) [m l] = dl(X); % l is a list of all line lengths of diagonal lines [m v] = tt(X);...

We are just starting with the organisation of the 4th Recurrence Plot Symposium which will take place in Hongkong. We intend to organise it for the 1st week in December 2011. Just visit the symposium web site for up-to-date information. Norbert Update: Symposium will be at Dec 5-7, 2011, on the Hung...

The 4th Recurrence Plot Symposium will most likely be in Hongkong. We will also move the date date from September to December 2011.

Norbert

Hi Luciano, indeed not easy to solve. I suggest to keep the embedding constant. Theoretically, we should then use the largest embedding dimension we would expect for the entire system. But usually a smaller embedding is also working. Have you had a look in the book of Kantz & Schreiber (Nonlinea...

No problem. You are everytime welcome with your questions.