14 citations · 50 across the 8 of their papers we have counts for
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math.DS2019★ 9 cited
Using Lagrangian descriptors to uncover invariant structures in Chesnavich's Isokinetic Model with application to roaming
Vladimir Krajnak, Gregory S. Ezra, Stephen Wiggins
Complementary to existing applications of Lagrangian descriptors as an exploratory method, we use Lagrangian descriptors to find invariant manifolds in a system where some invarian…
math.DS2019★ 7 cited
Dynamics of the Morse Oscillator: Analytical Expressions for Trajectories, Action-Angle Variables, and Chaotic Dynamics
Vladimír Krajňák, Stephen Wiggins
We consider the one degree-of-freedom Hamiltonian system defined by the Morse potential energy function (the "Morse oscillator"). We use the geometry of the level sets to construct…