Stability threshold approach for complex dynamical systems

Autor(es)

Klinshov, Vladimir V. ^[1] ; Nekorkin, Vladimir I. ^[1] ; Kurths, Juergen ^{[1, 2]}

Afiliação do(s) autor(es)

^[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

• Tipo de documento: Artigo Científico
• Fonte: NEW JOURNAL OF PHYSICS; v. 18, DEC 21 2015.
• Citações Web of Science: 8

Resumo

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)

• Processo FAPESP: 11/50151-0 - Fenômenos dinâmicos em redes complexas: fundamentos e aplicações
• Beneficiário: Elbert Einstein Nehrer Macau
• Linha de fomento: Auxílio à Pesquisa - Temático