Clusters in an assembly of globally coupled bistable oscillators

V. I. Nekorkin; M. L. Voronin; M. G. Velarde

doi:10.1007/s100510050793

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2021 Impact factor 1.398

Condensed Matter and Complex Systems

Eur. Phys. J. B 9, 533-543 (1999)
https://doi.org/10.1007/s100510050793

Clusters in an assembly of globally coupled bistable oscillators

V. I. Nekorkin¹^,2, M. L. Voronin¹ and M. G. Velarde²

¹ Nizhny Novgorod State University, 23 Gagarin Ave., 603600 Nizhny Novgorod, Russia
² Instituto Pluridisciplinar, Universidad Complutense, Paseo Juan XXIII, 1, Madrid 28 040, Spain

Received: 12 June 1998
Revised: 30 November 1998
Published online: 15 June 1999

Abstract

We study the dynamics of an assembly of globally coupled bistable elements. We show that bistability of elements results in some new features of clustering in the assembly when there is global coupling. We provide conditions for the existence of stable amplitude-phase clusters and splay-phase states.

PACS: 05.45.-a – Nonlinear dynamics and nonlinear dynamical systems

© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 1999