How basin stability complements the linear-stability paradigm

By Peter J. Menck, J. Heitzig, Norbert Marwan, J. Kurths. Nature Physics, 2013

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How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Hidden attractors in dynamical systems (2016, background): “[50] introduced the concept of basin stability of attractor A.”
Unifying the concepts of stability and resilience in ecology (2020, methodology): “Second, we do not only describe a system through system variables but also by its parameters, to be able to describe every facet of a changing system (in contrast to Domínguez- García et al., 2019; Grimm & Wissel, 1997; Menck et al., 2013; Orians, 1974; Westman, 1978).”
Synchronization in complex networks and its application - A survey of recent advances and challenges (2014, methodology): “Actually, the method used for basin stability in Menck et al. (2013), Menck et al. (2014) is the time-domain method in Chiang et al. (1995) or the numerical integration method in Ribbens-Pavella and Evans (1985).”
Review on computational methods for Lyapunov functions (2015, methodology): “Another recent simulation method was given in Menck, Heitzig, Marwan, and Kurths 2013 [169].”