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math.DS2023
Locating saddle points using gradient extremals on manifolds adaptively revealed as point clouds
A. Georgiou, H. Vandecasteele, J. M. Bello-Rivas +1
Steady states are invaluable in the study of dynamical systems. High-dimensional dynamical systems, due to a separation of time-scales, often evolve towards a lower dimensional man…
math.DS2018
Manifold learning for parameter reduction
Alexander Holiday, Mahdi Kooshkbaghi, Juan M. Bello-Rivas +3
Large scale dynamical systems (e.g. many nonlinear coupled differential equations) can often be summarized in terms of only a few state variables (a few equations), a trait that re…