LYAPUNOV STABILITY IN A MODEL THAT DESCRIBES THE RADIAL MOVEMENT OF A PARTICLE IN ACOUSTIC LEVITATION

Resumo

The stability of the radial trajectory of a small sphere in a single-axis acoustic levitatorwas investigated. A mathematical model based on acoustic radiation forces and realparameters is proposed to describe the dynamics of the sphere radial movement. The stability of the motion was investigated via Lyapunov exponents diagram, showing a complex structure sharing different regions of chaos and regularity according to the model parameters.