References

Battelino, P. M.; Grebogi, C.; Ott, E.; Yorke, J. A. and Yorke, E. D. (1988). Multiple coexisting attractors, basin boundaries and basic sets. Physica D: Nonlinear Phenomena 32, 296–305. ↩¹

Datseris, G. (2026). Sensitivity of Stratocumulus–Cumulus Transitions in a Cloudy Energy Balance Model. Journal of Advances in Modeling Earth Systems 18. ↩¹ ↩²

Datseris, G.; Lohmann, J.; Hamilton, O. and Haqq-Misra, J. (2026). Multistability and intermingledness in complex high-dimensional data. ↩¹ ↩² ↩³ ↩⁴ ↩⁵ ↩⁶ ↩⁷ ↩⁸

Datseris, G.; Morr, A.; Fadera, M. and Kurths, J. (2026). Global continuation as a complement to traditional continuation and bifurcation analysis, arXiv:2607.09332 [nlin.CD]. ↩¹ ↩² ↩³

Datseris, G.; Rossi, K. L. and Wagemakers, A. (2023). Framework for global stability analysis of dynamical systems. Chaos: An Interdisciplinary Journal of Nonlinear Science 33. ↩¹ ↩² ↩³ ↩⁴ ↩⁵ ↩⁶ ↩⁷ ↩⁸

Datseris, G. and Wagemakers, A. (2022). Effortless estimation of basins of attraction. Chaos: An Interdisciplinary Journal of Nonlinear Science 32, 023104. ↩¹ ↩² ↩³ ↩⁴

Daza, A.; Wagemakers, A.; Georgeot, B.; Guéry-Odelin, D. and Sanjuán, M. A. (2016). Basin entropy: a new tool to analyze uncertainty in dynamical systems. Scientific Reports 6. ↩¹ ↩²

Daza, A.; Wagemakers, A. and Sanjuán, M. A. (2018). Ascertaining when a basin is Wada: the merging method. Scientific Reports 8, 9954. ↩¹

Ester, M.; Kriegel, H.-P.; Sander, J. and Xu, X. (1996). A Density-Based Algorithm for Discovering Clusters in Large Spatial Databases with Noise. In: Proceedings of the Second International Conference on Knowledge Discovery and Data Mining, KDD'96 (AAAI Press); pp. 226–231. ↩¹

Gelbrecht, M.; Kurths, J. and Hellmann, F. (2020). Monte Carlo basin bifurcation analysis. New Journal of Physics 22, 033032. ↩¹ ↩² ↩³

Grebogi, C.; McDonald, S. W.; Ott, E. and Yorke, J. A. (1983). Final state sensitivity: An obstruction to predictability. Physics Letters A 99, 415–418. ↩¹

Halekotte, L. and Feudel, U. (2020). Minimal fatal shocks in multistable complex networks. Scientific Reports 10. ↩¹ ↩²

Klinshov, V. V.; Nekorkin, V. I. and Kurths, J. (2015). Stability threshold approach for complex dynamical systems. New J. Phys. 18, 013004. ↩¹ ↩²

Krakovská, H.; Kuehn, C. and Longo, I. P. (2024). Resilience of Dynamical Systems. European Journal of Applied Mathematics 35, 155–200. ↩¹

Lucarini, V. and Bódai, T. (2017). Edge states in the climate system: exploring global instabilities and critical transitions. Nonlinearity 30, R32. ↩¹

Mehling, O.; Börner, R. and Lucarini, V. (2024). Limits to predictability of the asymptotic state of the Atlantic Meridional Overturning Circulation in a conceptual climate model. Physica D: Nonlinear Phenomena 459, 134043. ↩¹

Morr, A.; Kuehn, C. and Datseris, G. (2026). Computing resilience measures in dynamical systems. Chaos: An Interdisciplinary Journal of Nonlinear Science 36. ↩¹ ↩²

Puy, A.; Daza, A.; Wagemakers, A. and Sanjuán, M. A. (2021). A test for fractal boundaries based on the basin entropy. Communications in Nonlinear Science and Numerical Simulation 95, 105588. ↩¹

Ritchie, P. D.; Alkhayuon, H.; Cox, P. M. and Wieczorek, S. (2023). Rate-induced tipping in natural and human systems. Earth System Dynamics 14, 669–683. ↩¹

Sala, M.; Leitão, J. C. and Altmann, E. G. (2016). Searching chaotic saddles in high dimensions. Chaos: An Interdisciplinary Journal of Nonlinear Science 26. ↩¹

Schneider, T. M.; Gibson, J. F.; Lagha, M.; De Lillo, F. and Eckhardt, B. (2008). Laminar-turbulent boundary in plane Couette flow. Physical Review E 78, 037301. ↩¹

Schoenmakers, S. and Feudel, U. (2021). A resilience concept based on system functioning: A dynamical systems perspective. Chaos: An Interdisciplinary Journal of Nonlinear Science 31, 053126. ↩¹

Schubert, E.; Sander, J.; Ester, M.; Kriegel, H. P. and Xu, X. (2017). DBSCAN Revisited, Revisited. ACM Transactions on Database Systems 42, 1–21. ↩¹

Skufca, J. D.; Yorke, J. A. and Eckhardt, B. (2006). Edge of chaos in a parallel shear flow. Physical review letters 96, 174101. ↩¹

Stender, M. and Hoffmann, N. (2021), bSTAB: an open-source software for computing the basin stability of multi-stable dynamical systems. Nonlinear Dynamics 107, 1451–1468. ↩¹ ↩² ↩³ ↩⁴

Sweet, D.; Nusse, H. E. and Yorke, J. A. (2001). Stagger-and-step method: Detecting and computing chaotic saddles in higher dimensions. Physical Review Letters 86, 2261. ↩¹

Wagemakers, A.; Daza, A. and Sanjuán, M. A. (2020). The saddle-straddle method to test for Wada basins. Communications in Nonlinear Science and Numerical Simulation 84, 105167. ↩¹