Hyper-chaotic and chaotic synchronisation of two interacting dipoles

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

doi:10.1007/978-3-319-24871-4_20

Hyper-chaotic and chaotic synchronisation of two interacting dipoles

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

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

1 Scopus citations

Abstract

In the present work we study numerically the deterministic spin dynamics of two interacting anisotropic magnetic particles in the presence of a time dependent external magnetic field. The particles are coupled through their dipole-dipole interaction. The applied magnetic field is composed of a constant amplitude longitudinal component and other transversal with time dependent amplitude. The system ismodelled by the dissipative Landau-Lifshitz equation. The different types of synchronisation have been studied finding that the system presents chaotic anti-synchronisation of the canonical component, for a wide range of parameters. Finally, we also found that the system exhibits phase hyper-chaotic synchronisation.

Original language	English
Title of host publication	Nonlinear Dynamics
Subtitle of host publication	Materials, Theory and Experiments - Selected Lectures, 3rd Dynamics Days South America, 2014
Editors	Marcel G. Clerc, Mustapha Tlidi
Publisher	Springer Science and Business Media, LLC
Pages	261-272
Number of pages	12
ISBN (Print)	9783319248691
DOIs	https://doi.org/10.1007/978-3-319-24871-4_20
State	Published - 2016
Event	3rd Dynamics Days South America Conference, 2014 - Valparaiso, Chile Duration: 3 Nov 2014 → 7 Nov 2014

Publication series

Name	Springer Proceedings in Physics
Volume	173
ISSN (Print)	0930-8989
ISSN (Electronic)	1867-4941

Conference

Conference	3rd Dynamics Days South America Conference, 2014
Country/Territory	Chile
City	Valparaiso
Period	3/11/14 → 7/11/14

Bibliographical note

Funding Information:
DU acknowledges the PhD fellowship from the Performance Agreement Project UTA/Mineduc (Universidad de Tarapacá). DBA was supported in part by the Spanish Inter-Ministerial Commission of Science and Technology under Project TIN2014-54583-C2-1-R, the European Regional Development fund, and the “Junta de Andalucía” (Spain), under Project P2011-TIC-7508. LMP and HLM acknowledge partial financial support from the Spanish Ministry of Science and Technology under Contract No. FIS2011-24642 and FIS2014-54101. DL acknowledges partial financial support from Basal Program Center for Development of Nanoscience and Nanotechnology (CEDENNA), UTA-project 8750-12 and Engineering and Physical Sciences Research Council Grant No. EP/L002922/1.

Publisher Copyright:
© Springer International Publishing Switzerland 2016.

Access to Document

10.1007/978-3-319-24871-4_20

Cite this

Urzagasti, D., Becerra-Alonso, D., Pérez, L. M., Mancini, H. L., & Laroze, D. (2016). Hyper-chaotic and chaotic synchronisation of two interacting dipoles. In M. G. Clerc, & M. Tlidi (Eds.), Nonlinear Dynamics: Materials, Theory and Experiments - Selected Lectures, 3rd Dynamics Days South America, 2014 (pp. 261-272). (Springer Proceedings in Physics; Vol. 173). Springer Science and Business Media, LLC. https://doi.org/10.1007/978-3-319-24871-4_20

Urzagasti, D. ; Becerra-Alonso, D. ; Pérez, L. M. et al. / Hyper-chaotic and chaotic synchronisation of two interacting dipoles. Nonlinear Dynamics: Materials, Theory and Experiments - Selected Lectures, 3rd Dynamics Days South America, 2014. editor / Marcel G. Clerc ; Mustapha Tlidi. Springer Science and Business Media, LLC, 2016. pp. 261-272 (Springer Proceedings in Physics).

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Urzagasti, D, Becerra-Alonso, D, Pérez, LM, Mancini, HL & Laroze, D 2016, Hyper-chaotic and chaotic synchronisation of two interacting dipoles. in MG Clerc & M Tlidi (eds), Nonlinear Dynamics: Materials, Theory and Experiments - Selected Lectures, 3rd Dynamics Days South America, 2014. Springer Proceedings in Physics, vol. 173, Springer Science and Business Media, LLC, pp. 261-272, 3rd Dynamics Days South America Conference, 2014, Valparaiso, Chile, 3/11/14. https://doi.org/10.1007/978-3-319-24871-4_20

Hyper-chaotic and chaotic synchronisation of two interacting dipoles. / Urzagasti, D.; Becerra-Alonso, D.; Pérez, L. M. et al.

Nonlinear Dynamics: Materials, Theory and Experiments - Selected Lectures, 3rd Dynamics Days South America, 2014. ed. / Marcel G. Clerc; Mustapha Tlidi. Springer Science and Business Media, LLC, 2016. p. 261-272 (Springer Proceedings in Physics; Vol. 173).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AB - In the present work we study numerically the deterministic spin dynamics of two interacting anisotropic magnetic particles in the presence of a time dependent external magnetic field. The particles are coupled through their dipole-dipole interaction. The applied magnetic field is composed of a constant amplitude longitudinal component and other transversal with time dependent amplitude. The system ismodelled by the dissipative Landau-Lifshitz equation. The different types of synchronisation have been studied finding that the system presents chaotic anti-synchronisation of the canonical component, for a wide range of parameters. Finally, we also found that the system exhibits phase hyper-chaotic synchronisation.

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Urzagasti D, Becerra-Alonso D, Pérez LM, Mancini HL, Laroze D. Hyper-chaotic and chaotic synchronisation of two interacting dipoles. In Clerc MG, Tlidi M, editors, Nonlinear Dynamics: Materials, Theory and Experiments - Selected Lectures, 3rd Dynamics Days South America, 2014. Springer Science and Business Media, LLC. 2016. p. 261-272. (Springer Proceedings in Physics). doi: 10.1007/978-3-319-24871-4_20

Hyper-chaotic and chaotic synchronisation of two interacting dipoles

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