Chaotic behavior of nonlinearly coupled electrostatic and electromagnetic modes in electron-positron-ion magnetoplasma with equilibrium flows

A new set of nonlinear equations has been derived to study the temporal behavior of low frequency electrostatic and electromagnetic ion-temperature-gradient driven modes in an electron-positron-ion (e-p-i) magnetoplasma. The temporal behavior of the nonlinear mode coupling equations, under certain conditions, are governed by the coupled equations, which are the generalization of Lorenz and Stenflo type equations, admitting chaotic behavior. The linear stability of the generalized Lorenz-Stenflo system of equations is also presented for electrostatic and electromagnetic cases. The results of present investigation should be useful to understand the nonlinear properties of electromagnetic/electrostatic waves in an e-p-i magnetoplasma.