Abstract
The nonlinear dynamics of low‐frequency (in comparison with electron gyro‐frequency) electrostatic disturbances in nonuniform dusty electron‐positron magnetoplasma with equilibrium sheared flow is investigated. In the linear limit, a local dispersion relation has been derived and analyzed. On the other hand, in the nonlinear case, the temporal behavior of the nonlinear dissipative system can be expressed as a set of three coupled nonlinear equations, which are a generalization of Lorenz‐Stenflo equations that admit chaotic trajectories. The results of our present investigation should be very helpful to understand plasma turbulence and wave phenomena in several laboratory and astrophysical plasma systems.
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