105 citations · 533 across the 41 of their papers we have counts for
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Explicit symplectic approximation of nonseparable Hamiltonians: algorithm and long time performance
Molei Tao
Explicit symplectic integrators have been important tools for accurate and efficient approximations of mechanical systems with separable Hamiltonians. For the first time, the artic…
Hyperbolic periodic orbits in nongradient systems and small-noise-induced metastable transitions
Molei Tao
Small noise can induce rare transitions between metastable states, which can be characterized by Maximum Likelihood Paths (MLPs). Nongradient systems contrast gradient systems in t…
Uncovering Circumbinary Planetary Architectural Properties from Selection Biases
Gongjie Li, Matthew J. Holman, Molei Tao
The new discoveries of circumbinary planetary systems shed light on the understanding of planetary system formation. Learning the architectural properties of these systems is essen…
Explicit high-order symplectic integrators for charged particles in general electromagnetic fields
Molei Tao
This article considers non-relativistic charged particle dynamics in both static and non-static electromagnetic fields, which are governed by nonseparable, possibly time-dependent…