Nonlinear Analysis of Plasma Dynamical Chaotic System: Hidden Multistability With Circuit Implementation

In this article, we introduce hidden multistability in plasma dynamical chaotic system with coexisting hidden and self-excited attractors. Plasma is the branch of physics that is the result of nonlinear oscillation, instability, and turbulence of particle interaction and scattering waves. The multistability in the plasma dynamical chaotic system is due to the radio-frequency oscillation of an electron gas and the excitation of a radioactive oscillation of the ion-acoustic wave. The plasma dynamical chaotic system is constructed by the amplitude of these oscillations, which exhibits chaos for particular values of parameters. Hidden multistability is investigated and confirmed in the plasma dynamical chaotic system with five major analytical tools, such as parameter constraints, basin of attraction, bifurcation diagram, Lyapunov exponents, and Poincaré section. Moreover, by utilizing the Multisim we have done a circuit implementation and subsequently validated the mathematical model. The findings of this study will provide helpful insight into the plasma dynamical chaotic system in targeting multi-stability and chaos.