Hyper-chaotic Magnetisation Dynamics of Two Interacting Dipoles

Deterlino Alberto Urzagasti Guerrero Urzagasti Guerrero; D. Becerra-Alonso; L. M. Pérez; H. L. Mancini; D. Laroze

doi:10.1007/s10909-015-1338-2

Hyper-chaotic Magnetisation Dynamics of Two Interacting Dipoles

Deterlino Alberto Urzagasti Guerrero Urzagasti Guerrero, D. Becerra-Alonso, L. M. Pérez, H. L. Mancini, D. Laroze

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

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.

Original language	English
Pages (from-to)	211-222
Number of pages	12
Journal	Journal of Low Temperature Physics
Volume	181
Issue number	5-6
DOIs	https://doi.org/10.1007/s10909-015-1338-2
State	Published - 19 Oct 2015

Bibliographical note

Publisher Copyright:
© 2015, Springer Science+Business Media New York.

Keywords

Dipolar interaction
Hyper-chaos
Magnetisation dynamics

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10.1007/s10909-015-1338-2

Cite this

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title = "Hyper-chaotic Magnetisation Dynamics of Two Interacting Dipoles",

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.",

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T1 - Hyper-chaotic Magnetisation Dynamics of Two Interacting Dipoles

AU - Urzagasti Guerrero, Deterlino Alberto Urzagasti Guerrero

AU - Becerra-Alonso, D.

AU - Pérez, L. M.

AU - Mancini, H. L.

AU - Laroze, D.

PY - 2015/10/19

Y1 - 2015/10/19

N2 - 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.

AB - 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.

KW - Dipolar interaction

KW - Hyper-chaos

KW - Magnetisation dynamics

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DO - 10.1007/s10909-015-1338-2

M3 - Artículo

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VL - 181

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EP - 222

JO - Journal of Low Temperature Physics

JF - Journal of Low Temperature Physics

SN - 0022-2291

IS - 5-6

ER -

Hyper-chaotic Magnetisation Dynamics of Two Interacting Dipoles

Abstract

Bibliographical note

Keywords

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