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math.DS2022★ 18 cited
Distinguishing between Regular and Chaotic orbits of Flows by the Weighted Birkhoff Average
Nathan Duignan, James D. Meiss
This paper investigates the utility of the weighted Birkhoff average (WBA) for distinguishing between regular and chaotic orbits of flows, extending previous results that applied t…
physics.plasm-ph2022★ 1 cited
Minimizing Separatrix Crossings through Isoprominence
Joshua W. Burby, Nathan Duignan, James D. Meiss
A simple property of magnetic fields that minimizes bouncing to passing type transitions of guiding center orbits is defined and discussed. This property, called isoprominence, is…