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Proceedings of the International Symposium on Nonlinear Theory and its Applications (NOLTA2014), Luzern, 321–324 (2014)
Multivariate extensions of recurrence networks reveal geometric signatures of coupling between nonlinear systems
R. V. Donner, J. H. Feldhoff, J. F. Donges, N. Marwan, J. KurthsRecurrence 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 sys- tems. 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.
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