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.
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September 2020
Research Article|
September 01 2020
Periodicity characterization of the nonlinear magnetization dynamics
Special Collection:
Instabilities and Nonequilibrium Structures
J. A. Vélez
;
J. A. Vélez
1
Instituto de Alta Investigación, CEDENNA, Universidad de Tarapacá
, Casilla 7D, Arica, Chile
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J. Bragard
;
J. Bragard
2
Departamento de Física y Matemáticas Aplicadas, Universidad de Navarra
, Pamplona 31080, Spain
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L. M. Pérez
;
L. M. Pérez
a)
1
Instituto de Alta Investigación, CEDENNA, Universidad de Tarapacá
, Casilla 7D, Arica, Chile
a)Author to whom correspondence should be addressed: lperez@uta.cl
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A. M. Cabanas
;
A. M. Cabanas
1
Instituto de Alta Investigación, CEDENNA, Universidad de Tarapacá
, Casilla 7D, Arica, Chile
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O. J. Suarez
;
O. J. Suarez
3
Departamento de Física, Universidad de Sucre
, A.A. 406 Sincelejo, Colombia
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D. Laroze
;
D. Laroze
1
Instituto de Alta Investigación, CEDENNA, Universidad de Tarapacá
, Casilla 7D, Arica, Chile
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H. L. Mancini
H. L. Mancini
b)
2
Departamento de Física y Matemáticas Aplicadas, Universidad de Navarra
, Pamplona 31080, Spain
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a)Author to whom correspondence should be addressed: lperez@uta.cl
Note: This article is part of the Focus Issue, Instabilities and Nonequilibrium Structures.
Chaos 30, 093112 (2020)
Article history
Received:
February 26 2020
Accepted:
August 11 2020
Citation
J. A. Vélez, J. Bragard, L. M. Pérez, A. M. Cabanas, O. J. Suarez, D. Laroze, H. L. Mancini; Periodicity characterization of the nonlinear magnetization dynamics. Chaos 1 September 2020; 30 (9): 093112. https://doi.org/10.1063/5.0006018
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