Applicability of Attractor Control Techniques for a Particle Conveyed by a Propagating Wave

Abstract

The governing equations of motion describing the dynamics of a conveyed particle by a propagating surface wave are derived. Although the problem may look rather primitive, it holds considerable complications first of all due to the fact that the shape of the surface cannot be described explicitly Special forward and reverse time marching numerical techniques, incorporating the solution of nonlinear algebraic equations in every time step, are developed for time integration of derived differential equations. It is shown that the described system possesses numerous nonlinear features such as sensitivity to initial conditions. cocxistint, attractors. This fact builds the foundation for the potential applicability of attractor control techniques based on small external impulses.