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International Journal of Bifurcation and Chaos, 21(4), 997–1001 (2011) DOI:10.1142/S0218127411029057

Recurrence plots at the crossroad between theory and application

A. Kulkarni, N. Marwan, L. Parrott, R. Proulx, C. L. Webber, Jr.

Researchers in different subject areas are tackling similar questions that require a complex systems approach: Can we develop indicators that serve as warning signals for impending regime shifts or critical thresholds in the system behavior? What is the characteristic observation scale that allows for an optimal description of the system dynamics in space and time? How can the resilience (return time to equilibrium) and stability (resistance to external forcing) of a system subjected to disturbance regimes be quantified? Can we derive generalities on how natural and man-made systems develop in time? Amongst interacting units of the system, which ones are the keystones for its global functioning? In this context, recurrence plots are useful tools as they provide a common language for the study of complex systems.

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