Koopman early warning signals for bifurcation and rate-induced tipping
Abrupt transitions in complex systems are often preceded by early warning signals. However, most indicators rely on the notion of critical slowing down and do not generally extend to rate-induced tipping where transitions can occur without local loss of stability. This is problematic in stochastic, nonautonomous systems where internal variability and time-varying variables interact to shape tipping onset. We use Koopman operator theory to develop a unified early warning framework for both bifurcation and rate-induced tipping in stochastic systems. Our approach builds on residual Koopman mode decomposition that measures discrepancies between dynamics and their finite-dimensional approximat...
| Authors | Juan Nathaniel, Carla Roesch, Derek DeSantis et al. |
|---|---|
| Primary category | nlin.CD |
| Published | 12 August 2026 |
| Last updated at source | 12 August 2026 |
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