ABSTRACT
The study of dusty plasmas is not only for the educational perspective, but also important for their wide implications in modern astrophysics, fusion devices, semiconductor technology, biophysics and plasma chemistry. It is important to note that some nonlinear systems show the existence of more than one solution with particular set of parameters at different initial conditions. Such an interesting phenomenon is recognized as multistability.Againfluctuation of dust charge generates a damping ofnonlinear waves in dusty plasmas.
This chapter discusses multiperiodic, quasiperiodic and chaotic features of dust-ion-acoustic waves with arbitrary amplitude in a three-component dusty plasma composed of cold inertial ions, non-inertial q-nonextensive electrons and immobile negatively charged dusts. The plasma system is transformed to an autonomous dynamical system in presence of an external periodic force. Such autonomous dynamical system is studied by phase plots, time series plots and Lyapunov exponents. Multistability of electro-acoustic waves is also studied in a homogeneous plasma composing of mobile cold electrons, immobile ions, and q-nonextensive distributed hot electrons in presence of external periodic force. Furthermore, considering dust charge fluctuations stable oscillation of dust-acoustic waves is studied in a dissipative plasma system consisting of positive ions, electrons, negative ions and negatively charged dusts.
