Period doubling toward chaos in a driven magnetic macrospin

Smith, Ryan K.; Grabowski, Marek; Camley, R. E.

doi:10.1016/j.jmmm.2010.01.045

Cited by 25 publications

(22 citation statements)

References 18 publications

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“…In such a circumstance the magnetisation of the particles may exhibit complex behaviour as. e.g., quasi-periodicity, and chaos [12,18,19,20]. The next section provides an exhaustive characterisation of the chaotic regime including its dependence on the longitudinal field |H 0 |, the frequency Ω and the distance between particles d. This will reveal a rather complicated topology in the parameter space.…”

Section: Theoretical Modelmentioning

confidence: 99%

“…The local maximum of a specific component of m i was used in Ref. [18]. In these diagrams, a continuum of points implies quasi-periodic or chaotic behaviour.…”

Section: Dynamical Indicatorsmentioning

confidence: 99%

“…The standard approach to study the magnetisation dynamics is based on the LandauLifshitz system, which was derived 80 years ago [11]. Using this model (or its generalisations), theoretical descriptions and phase diagrams of the chaotic regions have been given and explored [12,13,14,15,16,17,18,19,20,21,22]. Some of these models show new possible roots and ranges of physical parameters in chaotic domains that could motivate new experiments in this area.…”

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confidence: 99%

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Hyper-chaotic Magnetisation Dynamics of Two Interacting Dipoles

et al. 2015

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The present work is a numerical study of the deterministic spin dynamics of two interacting anisotropic magnetic particles in the presence of a time-dependent external magnetic field using the Landau-Lifshitz equation. Particles are coupled through the dipole-dipole interaction. The applied magnetic field is made of a constant longitudinal amplitude component and a time dependent transversal amplitude component. Dynamical states obtained are represented by their Lyapunov exponents and bifurcation diagrams. The dependence on the largest and the second largest Lyapunov exponents, as a function of the magnitude and frequency of the applied magnetic field, and the relative distance between particles, is studied. The system presents multiple transitions between regular and chaotic behaviour depending on the control parameters. In particular, the system presents consistent hyper-chaotic states.

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Section: Theoretical Modelmentioning

confidence: 99%

“…The local maximum of a specific component of m i was used in Ref. [18]. In these diagrams, a continuum of points implies quasi-periodic or chaotic behaviour.…”

Section: Dynamical Indicatorsmentioning

confidence: 99%

mentioning

confidence: 99%

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Hyper-chaotic Magnetisation Dynamics of Two Interacting Dipoles

et al. 2015

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“…In our system, the magnetizations in both nanomagnets are free to rotate, not like in the spin-torque oscillators that have one ferromagnetic layer fixed. Systems with circular anisotropy seem most prone to exhibit periodic doubling towards chaos, 50 but elongated samples are more robust on account of their high shape anisotropy. It is also noteworthy, that if the amplitude of the drive force is insufficient for a complete hysteresis cycle between m = ±1, then the system finds new metastable states and chaos can ensue.…”

Section: The Dynamical Switching Of Monodomain Nanomagnetsmentioning

confidence: 99%

Switching dynamics of doped CoFeB trilayers and a comparison to the quasistatic approximation

2013

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“…If the driving frequency were smaller than the resonance frequency the value of M x would generally be larger than M y as can be seen from eqs. (8) and (9).…”

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confidence: 99%

Tunable transient decay times in nonlinear systems: Application to magnetic precession

Phelps

Livesey

Ferona

et al. 2015

EPL

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-The dynamical motion of the magnetization plays a key role in the properties of magnetic materials. If the magnetization is initially away from the equilibrium direction in a magnetic nanoparticle, it will precess at a natural frequency and, with some damping present, will decay to the equilibrium position in a short lifetime. Here we investigate a simple but important situation where a magnetic nanoparticle is driven non-resonantly by an oscillating magnetic field, not at the natural frequency. We find a surprising result that the lifetime of the transient motion is strongly tunable, by factors of over 10,000, by varying the amplitude of the driving field.Introduction. -A wide variety of fascinating topics have been studied in nonlinear magnetism [1][2][3] and other branches of nonlinear physics. These include solitons [4][5][6][7], period doubling [8], nonlinear combinations of frequencies [9, 10], strange attractors, limit cycles, chaos [11], and routes to chaos through bifurcation processes [12,13]. The field has recently been invigorated by the use of nanostructures, which have allowed very large microwave fields to be applied, with amplitudes in excess of several hundred Oe [14,15], and have allowed interesting nonlinear conversion between modes [16][17][18]. Almost all of these topics deal with what is happening in the system after all transients have disappeared [19,20].In this paper, in contrast, we theoretically examine the transient precessional behavior appropriate for a magnetic nanoparticle. We find a surprising result that, in the nonlinear limit, the transient lifetime can be significantly extended by adding a strong oscillating driving field which is at a different frequency than the natural frequency. This increase of the lifetime depends sensitively (and nonmontonically) on the strength of the driving field. Near a critical driving field the lifetime can be extended by factors of over 10,000. We note that this behavior occurs in a nonlinear regime, but chaos is not required for this stabilization of the transient.

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Period doubling toward chaos in a driven magnetic macrospin

Cited by 25 publications

References 18 publications

Hyper-chaotic Magnetisation Dynamics of Two Interacting Dipoles

Hyper-chaotic Magnetisation Dynamics of Two Interacting Dipoles

Switching dynamics of doped CoFeB trilayers and a comparison to the quasistatic approximation

Tunable transient decay times in nonlinear systems: Application to magnetic precession

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