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.