14 citations · 50 across the 8 of their papers we have counts for
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Phase space structures causing the reaction rate decrease in the collinear hydrogen exchange reaction
Vladimír Krajňák, Holger Waalkens
The collinear hydrogen exchange reaction is a paradigm system for understanding chemical reactions. It is the simplest imaginable atomic system with degrees of freedom modeling…
Roaming at Constant Kinetic Energy: Chesnavich's Model and the Hamiltonian Isokinetic Thermostat
Vladimír Krajňák, Gregory S. Ezra, Stephen Wiggins
We consider the roaming mechanism for chemical reactions under the nonholonomic constraint of constant kinetic energy. Our study is carried out in the context of the Hamiltonian is…
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…
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…