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Mr. Daniel Jones
Instructor of Physics Math-Physics Building, Room 2012 912.478.5342 djones@georgiasouthern.edu B.S.P. Physics, Georgia Southern University M.S. Physics, University of Kentucky Research Blurb [pdf] |
| Research: |
The system of Lorenz equations is considered the benchmark system
for nonlinear dynamics, as it displays many qualities commonly
associated with chaotic systems. In particular, the Lorenz model
(developed in the context of atmospheric science,) exhibits the strange
attractor phenomenon, bifurcation, and chaotic evolution. Somehow,
systems from such diverse areas of study as thermodynamics, fluid
dynamics, and circuit theory can all be described by the Lorenz system
or its variants.
In a certain parameter regime, the Lorenz system evolves in a chaotic fashion – that is, it displays extraordinary sensitivity to initial conditions. In an interdisciplinary effort with the Department of Mathematical Sciences, I am investigating the stability of the chaotic Lorenz system under the influence of a state-feedback control mechanism. Early results indicate that it is indeed possible to stabilize the system well into its chaotic regime with a quotient controller. |
| Collaborative Publications: |
Romano-Diaz et. al., "Evolution of Characteristic Quantities for Dark
Matter Halo Density Profiles," accepted for publication in the
Astrophysical Journal.
Romano-Diaz et. al., "Constrained Cosmological Simulations of Dark Matter Halos," Astrophysical Journal, L93-L96, 2006. |