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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Stability threshold approach for complex dynamical systems

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Klinshov, Vladimir V. [1] ; Nekorkin, Vladimir I. [1] ; Kurths, Juergen [1, 2]
Total Authors: 3
[1] Russian Acad Sci, Inst Appl Phys, 46 Ulyanov St, Nizhnii Novgorod 603950 - Russia
[2] Potsdam Inst Climate Impact Res, Telegraphenberg A 31, D-14473 Potsdam - Germany
Total Affiliations: 2
Document type: Journal article
Source: NEW JOURNAL OF PHYSICS; v. 18, DEC 21 2015.
Web of Science Citations: 8

A new measure to characterize the stability of complex dynamical systems against large perturbations is suggested, the stability threshold (ST). It quantifies the magnitude of the weakest perturbation capable of disrupting the system and switch it to an undesired dynamical regime. In the phase space, the ST corresponds to the `thinnest site' of the attraction basin and therefore indicates the most `dangerous' direction of perturbations. We introduce a computational algorithm for quantification of the ST and demonstrate that the suggested approach is effective and provides important insights. The generality of the obtained results defines their vast potential for application in such fields as engineering, neuroscience, power grids, Earth science and many others where the robustness of complex systems is studied. (AU)

FAPESP's process: 11/50151-0 - Dynamical phenomena in complex networks: fundamentals and applications
Grantee:Elbert Einstein Nehrer Macau
Support type: Research Projects - Thematic Grants