Fractal structure of the phase equilibrium curve of a system of two oscillating magnetic moments

Effect of sample shape on nonlinear magnetization dynamics under an external magnetic field

“…that corresponds to the results of previous works [5,6,8]. A new focus attractor appears (Y ¼ 0) at a compression of the particle's shape along the symmetry Ox-axis (a positive value of the driving parameter).…”

“…In the presence of a small constant bias field applied along the Oy-axis (perpendicular to the oscillating component), the system reveals a similar behavior except for the absence of focus attractors. This fact corresponds to the results for a spherical-shaped particle dynamics [5,6,8]. A bifurcation map for this case is shown in Fig.…”

“…1 We note that dynamics has considerably trivial behavior in the case of spherical shape: only focus attractors exist [5,6]. As the driving parameter increases further, there are series of chaos intermittency regions on the bifurcation map.…”

“…A common way to analyze nonlinear equations is to solve them numerically [5][6][7][8][9][10][11]. A fourth-order Runge-Kutta scheme was used in our computations.…”

“…The Landau-Lifshitz-Gilbert (LLG) approach is widely used for micromagnetic calculations, but, because of its mathematical complexity, attempts to apply it to a regular study of dynamics problems were made only in past few years [5][6][7][8][9][10][11]. In spite of this, to our knowledge, influence of magnetic sample shape on nonlinear magnetization dynamics was not systematically examined.…”