NONLINEAR DYNAMICS DRIVING A BALL IMMERSED IN A DIELECTRIC FLUID SUBJECTED TO AN ELECTRIC FIELD.Author:
ABDELMOUNIM KHAYARI.
Year:
2003.
University:
SEVILLA [
www.us.es].
Place of defense: FACULTAD DE FÍSICA.
Place of preparation: DEPARTAMENTO DE ELECTRONICA Y ELECTROMAGNETISMO.
Summary: Dynamic loading and driving to a ball bouncing on an electrode under effect of a static electric field. Nonlinear Dynamics and Chaos in alternate field. A conductive ball immersed in a liquid between two electrodes little driver horizontal load acquired through contact with the electrode when an electric field is applied externally. When this area is high enough, the electric force exceeds the severity and the ball takes off and moves into the top electrode. However, because of the relaxation time finite electric fluid, the ball loses load and falls again. The process is renewed as long as the field is maintained above the threshold required for takeoff. There is pulsing flow in the circuit at each impact of the ball. In this paper we study the time and the boat launch area threshold of the ball. Consideration is being transferred to the load circuit by the pulses of current and the process of microdescarga responsible for these pulses. It also examines the case of a drop. The process of taking off in this case is different because of the commitment and deformation of the droplet. When overlaps an alternating component applied to the static field, the time between boats, which is taken as observable system, provides a discrete non-linear map that depends on two parameters, the amplitude and frequency of the alternating component of the field. A theoretical model is proposed to be discussed in comparison with the experimental results. It shows that the system exhibits a splitting of a transition period and chaos as a non Fiegenbaum. The reason chaotic under investigation by the usual tools: the Lyapunov exponents of the size of correlation and entropías correlation. The fractal structure of the attractor is evident both in the time series pilot and in the numerical simulations.