Hyper-chaotic Magnetisation Dynamics of Two Interacting Dipoles

Research areas:

• Methodology - Machine learning

Year:

2015

Type of Publication:

Article

Keywords:

Magnetisation dynamics, Dipolar interaction, Hyper-chaos

Authors:

• Urzagasti, D.
• Becerra-Alonso, David
• Pérez, L. M.
• Mancini, H. L.
• Laroze, D.

Journal:

Journal of Low Temperature Physics

Volume:

181

Number:

5

Pages:

211–222

Month:

December

ISSN:

0022-2291

BibTex:

@article{chaosDavidJournal2015, author = "D. Urzagasti and David Becerra-Alonso and L. M. P{\'e}rez and H. L. Mancini and D. Laroze", abstract = "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.", awards = "JCR(2015): 0.787 Position: 120/145 (Q4) Category: PHYSICS, APPLIED", comments = "JCR(2015): 0.787 Position: 120/145 (Q4) Category: PHYSICS, APPLIED", doi = "10.1007/s10909-015-1338-2", issn = "0022-2291", journal = "Journal of Low Temperature Physics", keywords = "Magnetisation dynamics, Dipolar interaction, Hyper-chaos", month = "December", note = "JCR(2015): 0.787 Position: 120/145 (Q4) Category: PHYSICS, APPLIED", number = "5", pages = "211–222", title = "{H}yper-chaotic {M}agnetisation {D}ynamics of {T}wo {I}nteracting {D}ipoles", url = "http://dx.doi.org/10.1007/s10909-015-1338-2", volume = "181", year = "2015", }

Note:

JCR(2015): 0.787 Position: 120/145 (Q4) Category: PHYSICS, APPLIED

Abstract:

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.

Comments:

JCR(2015): 0.787 Position: 120/145 (Q4) Category: PHYSICS, APPLIED