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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.DS2023★ 2 cited
Gentlest ascent dynamics on manifolds defined by adaptively sampled point-clouds
Juan M. Bello-Rivas, Anastasia Georgiou, Hannes Vandecasteele +1
Finding saddle points of dynamical systems is an important problem in practical applications such as the study of rare events of molecular systems. Gentlest ascent dynamics (GAD) i…