Vélez, J.A. (J.A.)
- Publications
- item.page.relationships.isContributorAdvisorOfPublication
- item.page.relationships.isContributorOfPublication
2 results
Search Results
Now showing 1 - 2 of 2
- Periodicity characterization of the nonlinear magnetization dynamics(AIP, 2020) Laroze, D. (David); Suárez, O.J. (O. J.); Cabanas, A.M. (A.M.); Pérez, L.M. (L. M.); Bragard, J. (Jean); Mancini-Maza, H. L. (Hector Luis); Vélez, J.A. (J.A.)In this work, we study numerically the periodicity of regular regions embedded in chaotic states for the case of an anisotropic magnetic particle. The particle is in the monodomain regime and subject to an applied magnetic field that depends on time. The dissipative Landau–Lifshitz–Gilbert equation models the particle. To perform the characterization, we compute several two-dimensional phase diagrams in the parameter space for the Lyapunov exponents and the isospikes. We observe multiple transitions among periodic states, revealing complex topological structures in the parameter space typical of dynamic systems. To show the finer details of the regular structures, iterative zooms are performed. In particular, we find islands of synchronization for the magnetization and the driven field and several shrimp structures with different periods.
- Study of type-III intermittency in the Landau–Lifshitz-Gilbert equation(IOP, 2021) Laroze, D. (David); Pérez, L.M. (L. M.); Barrientos, R.J. (R. J.); Bragard, J. (Jean); Riquelme, J.A. (J. A.); Hernández-García, R. (R.); Vélez, J.A. (J.A.)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.