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Chaos in toroidal ion-temperature-gradient-driven modes in dust-contaminated magnetoplasma. (English) Zbl 1356.76455

Summary: A new set of nonlinear equations for toroidal ion-temperature-gradient-driven (ITGD) drift-dissipative waves is derived by using Braginskii’s transport model of the ion dynamics and the Boltzmann distribution of electrons in the presence of negatively charged dust grains. The temporal behaviour of the nonlinear ITGD mode is found to be governed by three nonlinear equations for the amplitudes, which is a generalization of Lorenz- and Stenflo-type equations admitting chaotic trajectories. The linear stability analysis has been presented and stationary points for our generalized mode coupling equations are also derived.

MSC:

76X05 Ionized gas flow in electromagnetic fields; plasmic flow
76T15 Dusty-gas two-phase flows
37N20 Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics)
76E25 Stability and instability of magnetohydrodynamic and electrohydrodynamic flows
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