Chaotic to Periodic Phenomena of Dust-Ion-Acoustic Waves in a Collisional Dusty Plasma

摘要

The existence of chaotic and periodic structures of dust-ion-acoustic nonlinear waves (DIAWs) is reported through dynamical system approach in a dusty plasma with dust-ion collision effect. Employing the reduction perturbation technique (RPT), the damped modified Korteweg-de Vries (DmKdV) equations are derived. The nonlinear wave phenomena of perturbed DmKdv equation is studied in presence of an applied external force. Chaotic behavior is found in some critical composition for the said perturbed system. It is seen that dust-ion collisional frequency acts as a controlling parameter to chaos and changes the structure from chaotic motion to periodic motion.