Bifurcations occur in the dynamics of complex systems, from ecosystems to engineered systems. Such phenomena lead to various types of stability issues and can cause dramatic changes in the dynamics. Therefore, forecasting such bifurcations with measurements only from the pre-bifurcation regime is of great importance.

The main goal of our research is to create novel methods to quantitatively forecast post-bifurcation dynamics of large dimensional complex nonlinear systems. Specifically, we are currently working on forecasting flutters in aeroelastic systems using system responses to gust perturbations in pre-bifurcation regime.