Synopsis of Amara Lynn Graps PhD thesis: "Io Revealed in the Jovian Dust Streams" The Jovian dust streams are high-speed (at least 200~\kms) collimated streams of submicron-sized particles traveling in the same direction from a source in the Jovian system. They were discovered in March~1992 by the cosmic dust detector instrument onboard the Ulysses spacecraft, when the spacecraft was just past its closest approach to Jupiter. Observations of the Jovian dust stream phenomena continued in the next nine years. A second spacecraft, Galileo, now in orbit around Jupiter, is equipped with an identical dust detector instrument to Ulysses' dust instrument. Before and since the Galileo spacecraft's arrival in the Jupiter system in December~1995, investigators recorded more dust stream observations. In July and August 2000, a third spacecraft with a dust detector (combined with a chemical analyzer), Cassini, traveling on its way to Saturn, recorded more high-speed streams of submicron-sized particles from the Jovian system. The many years-long successful Jovian dust streams observations reached a pinnacle on December~30,~2000, when both the Cassini and Galileo dust detectors accomplished a coordinated set of measurements of the Jovian dust streams inside and outside of Jupiter's magnetosphere. The work in this thesis describes an emerging electrodynamical picture of the Jovian dust streams as they appear inside and outside of the Jupiter environment. The source of the Jovian dust streams is Jupiter's moon, Io, in particular, dust from Io's volcanoes. Charged Io dust, traveling on trajectories from Io's location, is shown in this work to have some particular signatures in real space and in frequency space. The Jovian dust stream dynamics in the frequency-transformed Galileo dust measurements show different signatures, varying, orbit-to-orbit during Galileo's last 29 orbits around Jupiter. The varying frequencies from orbit-to-orbit are dependent on the spacecraft and dust detector geometry, on Jupiter's magnetosphere/plasma conditions, but also on Io itself, most likely its volcanoes' activity. The presence of Io's orbital rotation frequency demonstrates that Io is a localized source of charged dust particles because charged dust from diffuse sources would couple to Jupiter's magnetic field and appear in frequency space with Jupiter's rotation frequency and its harmonics. A confirmation of Io's role as a localized charged dust source arises through the modulation effects. This time-frequency analysis is the first direct evidence that Io is the source of the Jovian dust streams. I provide additional frequency evidence of Io recorded by Cassini and Galileo during an August~2000 dust streams `storm'. One key to understanding the Jovian dust stream trajectories in real space is the dust particle's {\it variable} charging. If the dust particle is small enough (submicron-sized), then its trajectory is dominated by Lorentz forces. If the dust particle's charge varies during its travels, then its Lorentz-force-dominated dynamics vary, as well. The dust particle's charge varies via currents generated as the particle samples the plasma through which it travels. Results from numerical charging experiments here show that the dust particle rarely reaches an equilibrium potential as it travels. The equilibrium charging times for the dust particles in Jupiter's magnetosphere are on the order of hours to days, therefore the dust particle accumulates more and more charges, which can dramatically influence its dynamical behavior. Numerical charging experiments here also show that the secondary electron emission current, which was previously thought not to have an effect in the placid calm of the interplanetary solar wind, contributes at least +1~V potential to the particle's overall potential in the solar wind. Dynamical simulations of the dust stream particles using variable charging show several interesting effects: sensitivity of the particle's dynamics to the harmonic expansion of the magnetic field model, the velocities of variable charged particles increase over a much longer distance than fixed charge particles and the simulations show marked difference in dynamics with only slightly changing the particle size, the density, and the secondary electron emission current parameters. One effect studied is the size of ejected particles with different material properties. Here, smaller particles are ejected that have lower secondary electron emission energies/yields, and therefore the ejection of small sulfur particles are favored over the ejection of small silicate particles. In order to meet the time-of-flight that the dust particles achieved during the December~2000 joint Galileo-Cassini dust stream measurements, the smallest dust particles could have the following range of parameters: size: 6~nanometers, density: 1.35--1.75~g/cm^3 initial charge potential: 1--4~V, secondary electron emission yield: 3.0, dependent on a maximum electron energy 300~eV, a photoelectron emission yield: 0.1--1.0, which produce dust particle speeds: 220\450~\kms\ (Galileo\Cassini) and charge potentials: 5.5\6.3~V (Galileo\Cassini).