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 proceedingConference contributionpeer-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 languageEnglish
Title of host publicationNonlinear Dynamics
Subtitle of host publicationMaterials, Theory and Experiments - Selected Lectures, 3rd Dynamics Days South America, 2014
EditorsMarcel G. Clerc, Mustapha Tlidi
PublisherSpringer Science and Business Media, LLC
Pages261-272
Number of pages12
ISBN (Print)9783319248691
DOIs
StatePublished - 2016
Event3rd Dynamics Days South America Conference, 2014 - Valparaiso, Chile
Duration: 3 Nov 20147 Nov 2014

Publication series

NameSpringer Proceedings in Physics
Volume173
ISSN (Print)0930-8989
ISSN (Electronic)1867-4941

Conference

Conference3rd Dynamics Days South America Conference, 2014
Country/TerritoryChile
CityValparaiso
Period3/11/147/11/14

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.

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