Strange non-chaotic attractors in spin valve systems

Cabanas, Ana M.; Pérez, Laura M.; Laroze, David

doi:10.1016/j.jmmm.2018.04.024

Cited by 8 publications

(2 citation statements)

References 83 publications

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“…In addition, period-doubling cascades were found the same system when the amplitude of the magnetic field is varied [49]. Besides, it was shown that when the magnetic particles are subjected to quasi-periodic driven, strange nonchaotic attractors can appear [53,67]. Recently, theoretical-experimental research in nanomagnets in the monodomain regime have shown chaotic behaviors under the action of an electric current [72].…”

Section: Introductionmentioning

confidence: 87%

Study of type-III intermittency in the Landau–Lifshitz-Gilbert equation

et al. 2021

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We have studied a route of chaos in the dissipative Landau-Lifshitz-Gilbert equation representing the magnetization dynamics of an anisotropic nanoparticle subjected to a time-variant magnetic field. This equation presents interesting chaotic dynamics. In the parameter space, for some forcing frequency and magnetic strength of the applied field, one observes a transition from a regular periodic behavior to chaotic dynamics. The chaotic dynamics, close to the bifurcation, are characterized by type-III intermittency. Long epochs of quasi-regular dynamics followed by turbulent bursts. The characterization of the intermittencies has been done through four different techniques. The first method is associated with the computation of the Lyapunov exponents that characterize the chaotic regime. The second and third methods are associated with the statistics of the duration of the laminar epochs prior to a turbulent burst. The fourth method is associated with the subharmonic instability present in those laminar epochs and quantified through a Poincaré section method. At the end of the manuscript, we compare the result obtained by the different techniques and discuss the methods' limitations. RECEIVED

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Section: Introductionmentioning

confidence: 87%

Study of type-III intermittency in the Landau–Lifshitz-Gilbert equation

et al. 2021

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“…Zhang et al [5] studied the dynamics of a class of nonautonomous systems, and strange nonchaotic dynamics were illustrated by several representative systems. Cabanas et al [6] investigated the current-driven magnetization dynamics in spin torque oscillators, and found that there are strange nonchaotic dynamical phenomena in the system. Paul et al [7] identified the plausibility of the existence of SNAs in a model of two sinusoidal driven LCR dissipative oscillators sharing a common piecewise nonlinearity, and experimental evidence had been offered by means of a real-time electronic circuit to validate the observed results.…”

Section: Introductionmentioning

confidence: 99%