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Networks and Heterogeneous Media

2015, Volume 10, Issue 1: 209-221. doi: 10.3934/nhm.2015.10.209
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Effect of anisotropies on the magnetization dynamics

  • 1.
    Departamento de Física y Matemáticas Aplicadas, Universidad de Navarra, Pamplona, 31080
  • 2.
    Departamento de Física, Universidade Federal da Paraba, 58051-970 João Pessoa
  • 3.
    Instituto de Alta Investigación, Universidad de Tarapacá, Casilla 7D, Arica
  • Received: 01 July 2014 Revised: 01 December 2014

  • Primary: 37M25, 65P20; Secondary: 65P99.

  • We report a systematic investigation of the magnetic anisotropy effects observed in the deterministic spin dynamics of a magnetic particle in the presence of a time-dependent magnetic field. The system is modeled by the Landau-Lifshitz-Gilbert equation and the magnetic field consists of two terms, a constant term and a term involving a harmonic time modulation. We consider a general quadratic anisotropic energy with three different preferential axes. The dynamical behavior of the system is represented in Lyapunov phase diagrams, and by calculating bifurcation diagrams, Poincaré sections and Fourier spectra. We find an intricate distribution of shrimp-shaped regular island embedded in wide chaotic phases. Anisotropy effects are found to play a key role in defining the symmetries of regular and chaotic stability phases.

    Citation: Laura M. Pérez, Jean Bragard, Hector Mancini, Jason A. C. Gallas, Ana M. Cabanas, Omar J. Suarez, David Laroze. Effect of anisotropies on the magnetization dynamics[J]. Networks and Heterogeneous Media, 2015, 10(1): 209-221. doi: 10.3934/nhm.2015.10.209

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  • We report a systematic investigation of the magnetic anisotropy effects observed in the deterministic spin dynamics of a magnetic particle in the presence of a time-dependent magnetic field. The system is modeled by the Landau-Lifshitz-Gilbert equation and the magnetic field consists of two terms, a constant term and a term involving a harmonic time modulation. We consider a general quadratic anisotropic energy with three different preferential axes. The dynamical behavior of the system is represented in Lyapunov phase diagrams, and by calculating bifurcation diagrams, Poincaré sections and Fourier spectra. We find an intricate distribution of shrimp-shaped regular island embedded in wide chaotic phases. Anisotropy effects are found to play a key role in defining the symmetries of regular and chaotic stability phases.


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