# Survivability of Deterministic Dynamical Systems

@article{Hellmann2015SurvivabilityOD, title={Survivability of Deterministic Dynamical Systems}, author={Frank Hellmann and Paul Schultz and Carsten Grabow and Jobst Heitzig and J{\"u}rgen Kurths}, journal={Scientific Reports}, year={2015}, volume={6} }

The notion of a part of phase space containing desired (or allowed) states of a dynamical system is important in a wide range of complex systems research. It has been called the safe operating space, the viability kernel or the sunny region. In this paper we define the notion of survivability: Given a random initial condition, what is the likelihood that the transient behaviour of a deterministic system does not leave a region of desirable states. We demonstrate the utility of this novel…

## 32 Citations

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