Hyper-Chaotic and Chaotic Synchronisation of Two Interacting Dipoles

Research areas:

• Methodology - Machine learning

Year:

2015

Type of Publication:

In Proceedings

Keywords:

Nonlinear Dynamics, Materials, Theory and Experiments

Authors:

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

Volume:

173

Book title:

Proceedings of the 3rd Dynamics Days, Springer Proceedings in Physics

Pages:

261-272

Organization:

South America, Valparaiso

Month:

3-7 November 2014

ISBN:

978-3-319-24871-4

ISSN:

0930-8989

BibTex:

@conference{hyperchaosDavidCongreso, author = "D. Urzagasti and David Becerra-Alonso and L. M. P{\'e}rez and H. L. Mancini and D. Laroze", 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 is modelled 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.", booktitle = "Proceedings of the 3rd Dynamics Days, Springer Proceedings in Physics", doi = "10.1007/978-3-319-24871-4_20", isbn = "978-3-319-24871-4", issn = "0930-8989", keywords = "Nonlinear Dynamics, Materials, Theory and Experiments", month = "3-7 November 2014", organization = " South America, Valparaiso", pages = "261-272", title = "{H}yper-{C}haotic and {C}haotic {S}ynchronisation of {T}wo {I}nteracting {D}ipoles", url = "http://dx.doi.org/10.1007/978-3-319-24871-4_20", volume = "173", year = "2015", }

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 is modelled 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.