Summary

the 2014 International Symposium on Nonlinear Theory and its Applications

2014

Session Number:B2L-B

Session:

Number:B2L-B4

Multivariate extensions of recurrence networks reveal geometric signatures of coupling between nonlinear systems

Reik V. Donner,  Jan H. Feldhoff,  Jonathan F. Donges,  Norbert Marwan,  Jurgen Kurths,  

pp.321-324

Publication Date:2014/9/14

Online ISSN:2188-5079

DOI:10.34385/proc.46.B2L-B4

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Summary:
Recurrence networks have recently proven their great potential for characterizing important properties of dynamical systems. However, in the real-world such systems typically do not evolve completely isolated from each other, but exhibit mutual interactions with their neighborhood. Here, we extend the recent view on isolated systems towards an coupled network approach to interacting systems. Specifically, we illustrate how to modify the concept of recurrence networks for studying dynamical interrelationships between two or more coupled nonlinear dynamical systems exclusively based on their attractors’ geometric structures in phase space.