Schematic of the system considered in this article.
Equilibrium states of the system as a function of magnetic field (here and in the following, d.u. means dimensionless units).
Magnetic field dependence of the magnetic moment components for the stationary states calculated for . The curves labeled with 1, 2, and 3 correspond, respectively, to , , and for the state ; whereas the curves 4, 5, and 6 represent , , and for the state . (The data corresponding to the curves 3 and 5 have been multiplied by a factor of 40.)
Magnetic field dependence of the solutions of the characteristic equation: real (curves 1 and 3) and imaginary (curves 2 and 4) parts of , real parts of (curves 5 and 6). Stationary states : curves 1–6, equilibrium states : curves . The curves 1,3, and are multiplied by a factor of 100.
Bifurcation diagram of neutral stability for stationary (, solid curves) and equilibrium (, dashed curves) states for and different values of : 1 and correspond to ; 2 and correspond to ; 3 and correspond to .
Dependence of on external magnetic field for the stationary state at different observation times, calculated for .
Dependence of on external magnetic field for the equilibrium state at different observation times.
Phase portraits and main system characteristics vs applied magnetic field: (a) density plot, (b) power spectral density , (c) evolution of trajectory tracing curve, and (d) Hausdorff dimension and maximum Lyapunov exponent .
The system evolution with the applied magnetic field : density plots for different values of the spin current.
Time evolution of (curves 1, 2, 3) and (curves ), calculated for and different applied magnetic fields: for ; for ; for . The thin oscillating curves correspond to calculated numerically.
Magnetization component (curves 1–4) and (curves ) as a function of magnetic field for and different spin currents: the curves are for ; for ; for ; and for .
Dependence of the switching time on for different spin currents: The curve 1 is for , 2 for , 3 for . Behavior of the parameters and with spin current is given in the inset.
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