Does I really need reconstruction?

General discussions and questions about recurrence plot and recurrence network related methods.
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sjstheesar
Junior
Posts: 1
Joined: Mon Jul 11, 2011 12:30
Affiliation (Univ., Inst., Dept.): Gandhigram Rural Universitym Gandhigram
Location: Dindigul, Tamilnadu
Research field: Synchronization in dynamical systems

Does I really need reconstruction?

Post by sjstheesar »

First of I am a newbie here. I have read "MARWAN, N., Romano, M. C., Thiel, M., Kurths, J.: Recurrence Plots for the Analysis of Complex Systems, Physics Reports, 438(5-6), 2007, 237-329". I would like to implement JRP in my synchronization problem.
While basic material, I was not able to understand "reconstruction of Phase space". Does it really required in order to compute JRP between two dynamical systems?
Also if a system has 4 co-ordinates then for synchronization problem do I get 4 JRP plots?

I am sorry that I was not able to understand those completely from the above paper.

Thank you in advance.
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sultornsanee
Senior
Posts: 29
Joined: Tue Oct 12, 2010 21:05
Affiliation (Univ., Inst., Dept.): Northeastern University
Location: Boston, Massachusetts, USA
Research field: Pattern Recognition Analysis
Location: Network/Nano Science and Engineering Laboratory, Northeastern University, Boston, USA

Re: Does I really need reconstruction?

Post by sultornsanee »

JRP is a dot product of recurrence plots. It doesn't matter how many RPs you have but JRP of all RPs will be only one recurrence matrix or recurrence plot.
Sivarit Sultornsanee (Tony)

Network/Nano Science and Engineering Laboratory (NSE Lab)
360 Huntington Ave., Room 320 SN, Boston, MA 02038, USA
E-mail: SULTORNSANEE.S@HUSKY.NEU.EDU
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