4 papers
Global dynamics of two models for Quintom Friedman-Lemaître-Robertson-Walker Universes
Genly Leon, Alan Coley, Andronikos Paliathanasis +2
We comprehensively analyze the dynamics for the gravitational field equations for the Chiral-Quintom theory in a Friedman-Lemaître-Robertson-Walker cosmology with an additional mat…
Great Inequality of Jupiter and Saturn I: The Planetary Three Body Problem, Heliocentric development by Lagrange multipliers, Perturbation Theory Formulation
Jonathan Tot, S. R. Valluri, P. C. Deshmukh
In this paper, we undertake to present a self-contained and thorough analysis of the gravitational three body problem, with anticipated application to the Great Inequality of Jupit…
On the Equilibria and Bifurcations of a Rotating Double Pendulum
Jonathan Tot, Robert H. Lewis
The double pendulum, a simple system of classical mechanics, is widely studied as an example of, and testbed for, chaotic dynamics. In 2016, Maiti et al. studied a generalization o…
The dynamics of scalar-field Quintom cosmological models
Jonathan Tot, Balkar Yildirim, Alan Coley +1
We shall present a complete (compactified) dynamical systems analysis of the Quintom model comprised of an interacting quintessence scalar field and a phantom. We find a range for…