Quasiperiodic Route to Chaos for the Dust Ion Acoustic Waves in Magnetized Dusty Plasmas

Quasiperiodic and chaotic features of the dust ion acoustic (DIA) waves in a magnetized dusty plasma is studied. Reductive perturbation technique (RPT) is used to derive the damped forced Kadomtsev–Petviashvili (KP) equation. The effect of the dust ion collisional frequency (ν id 0 ) on the quasiperiodic and chaotic motion of the DIA waves is studied. It is observed that in absence of dust–ion collisions, the DIA waves exhibit quasiperiodic behavior and the motion becomes chaotic while the dust–ion collisions are taken into consideration. Thus, the dust–ion collisional frequency (ν id 0 ) plays the role of switching parameter from quasiperiodic motion to chaotic motion for the DIA waves.