CRP Toolbox Reference |

## jrqa## PurposeComputes and plots the JRQA measures.## Syntaxjrqa(x)jrqa(x,y) y=jrqa(x,y,m,t,e,w,ws) y=jrqa(x,y,m,t,e,w,ws,lmin,vmin) y=jrqa(x,y,m,t,e,w,ws,lmin,vmin,tw) y=jrqa(x,y,m,t,e,[],'param1','param2',...) ## DescriptionRecurrence quantification analysis of joint-recurrence
with the first vector The input vectors can be multi-column vectors, where each column will be used as a component of the phase-space vector. However, if the first column is monotonically increasing, it will be used as an time scale for plotting. ## ParametersDimension
As the last numeric parameter, the size of the Theiler window Further parameters can be used to switch between various methods of finding the neighbours of the phasespace trajectory, to suppress the normalization of the data and to suppress the GUI (useful in order to use this programme by other programmes).
Parameters not needed to specify. ## LimitationsFor higher speed in output the whole matrix of the recurrence
plot is in the work space - this limits the application of long data
series. However, a solution for using long data series you can find
under the description for ## WarningThe RQA measures may differ from those of the RQA programmes by Charles Webber Jr. For compatibility use a Theiler window of size one and ensure that the data are normalized before by the same distance which is used in the RQA programmes; e.g. normalize with the maximal phase space diameter, which can be estimated with the programme pss:
RQA=jrqa(100*x/pss(x,dim,lag,'euclidean'),dim,lag,e,[],[],l_min,v_min,1,...
'euclidean','nonormalize','silent') ## ExamplesN=500; w=40; ws=10;b=.4; a=.6; mu=.8:-0.7/N:.1; % two mutually coupled logistic maps for i=2:N, a(i)=3.6*a(i-1)*(1-a(i-1)); b(i)=4*b(i-1)*(1-b(i-1))-mu(i)*a(i); end % coupling is obtained by higher RR and DET values jrqa(a,b,1,1,.2,w,ws); ## See Also## ReferencesTrulla, L. L., Giuliani, A., Zbilut, J. P., Webber Jr., C. L.: Recurrence quantification analysis of the logistic equation with transients, Phys. Lett. A, 223, 1996. Marwan, N., Wessel, N., Meyerfeldt, U., Schirdewan, A., Kurths, J.: Recurrence Plot Based Measures of Complexity and its Application to Heart Rate Variability Data, Phys. Rev. E, 66(2), 2002. Romano, M., Thiel, M., Kurths, J., von Bloh, W.: Multivariate Recurrence Plots, Phys. Lett. A, 330, 2004. |

jrp | mcf |