Sr. Lopes et Acl. Chian, CONTROLLING CHAOS IN NONLINEAR 3-WAVE COUPLING, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 54(1), 1996, pp. 170-174
II is shown that the chaotic orbits in the saturated stales of nonline
ar three-wave coupling can be controlled by applying a new resonance,
via a small sinusoidal anti-Stokes wave, to the system. For a given se
t of linear frequency mismatch and growth-damping parameters, any desi
red periodic orbit can be achieved by a proper adjustment of the ampli
tude oi the control wave. This method is illustrated by numerical simu
lations.