Search Results for author: Anastasia Georgiou

Found 2 papers, 2 papers with code

Gentlest ascent dynamics on manifolds defined by adaptively sampled point-clouds

1 code implementation9 Feb 2023 Juan M. Bello-Rivas, Anastasia Georgiou, Hannes Vandecasteele, Ioannis G. Kevrekidis

Finding saddle points of dynamical systems is an important problem in practical applications such as the study of rare events of molecular systems.

Staying the course: Locating equilibria of dynamical systems on Riemannian manifolds defined by point-clouds

1 code implementation21 Apr 2022 Juan M. Bello-Rivas, Anastasia Georgiou, John Guckenheimer, Ioannis G. Kevrekidis

As in the Euclidean case, generalized isoclines of generic vector fields $X$ are smooth curves that connect equilibria of $X$.

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