Multiperiodic and chaotic wave phenomena of collective ion dynamics under KP-type equation in a magnetised nonextensive plasma

Abstract

Dynamical features of small-amplitude ion-acoustic waves are investigated under KP-type equation in a magnetized electron-ion plasma, where electrons follow q-nonextensive distribution. To carry out this investigation, a four dimensional conservative dynamical system is proposed from this plasma model. By changing values of travelling wave velocity, ratio between ion gyro frequency and ion plasma frequency and q-nonextensive parameter, the system produces different dynamical features, such as periodic, multi-periodic, quasiperiodic, and chaotic ion-acoustic wave phenomena. It is observed that ratio between ion gyro frequency and ion plasma frequency plays the key role in the existence of ion-acoustic chaotic wave phenomenon. Also, existence of higher order periodic trajectories is seen to indicate chaotic phenomenon.