81 citations · 410 across the 23 of their papers we have counts for
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An Underlying Geometrical Manifold for Hamiltonian Mechanics
L. P. Horwitz, A. Yahalom, J. Levitan +1
We show that there exists an underlying manifold with a conformal metric and compatible connection form, and a metric type Hamiltonian (which we call the geometrical picture) that…
Lyapunov vs. Geometrical Stability Analysis of the Kepler and the Restricted Three Body Problem
A. Yahalom, J. Levitan, M. Lewkowicz +1
In this letter we show that although the application of standard Lyapunov analysis predicts that completely integrable Kepler motion is unstable, the geometrical analysis of Horwit…
On the geometry of Hamiltonian chaos
Lawrence Horwitz, Jacob Levitan, Meir Lewkowicz +2
We show that Gutzwiller's characterization of chaotic Hamiltonian systems in terms of the curvature associated with a Riemannian metric tensor in the structure of the Hamiltonian c…