# Hysteresis loops and multi-stability: From periodic orbits to chaotic dynamics (and back) in diatomic granular crystals

## Author(s): Hoogeboom, C; Man, Y; Boechler, N; Theocharis, G; Kevrekidis, PG; et al

To refer to this page use: http://arks.princeton.edu/ark:/88435/pr1085t
DC FieldValueLanguage
dc.contributor.authorHoogeboom, C-
dc.contributor.authorMan, Y-
dc.contributor.authorBoechler, N-
dc.contributor.authorTheocharis, G-
dc.contributor.authorKevrekidis, PG-
dc.contributor.authorKevrekidis, Yannis G.-
dc.contributor.authorDaraio, C-
dc.date.accessioned2021-10-08T19:58:36Z-
dc.date.available2021-10-08T19:58:36Z-
dc.date.issued2013-02-01en_US
dc.identifier.citationHoogeboom, C, Man, Y, Boechler, N, Theocharis, G, Kevrekidis, PG, Kevrekidis, IG, Daraio, C. (2013). Hysteresis loops and multi-stability: From periodic orbits to chaotic dynamics (and back) in diatomic granular crystals. EPL, 101 (4), 10.1209/0295-5075/101/44003en_US
dc.identifier.issn0295-5075-
dc.identifier.urihttp://arks.princeton.edu/ark:/88435/pr1085t-
dc.description.abstractWe consider a statically compressed diatomic granular crystal, consisting of alternating aluminum and steel spheres. The combination of dissipation, driving of the boundary, and intrinsic nonlinearity leads to complex dynamics. Through both numerical simulations and experiments, we find that the interplay of nonlinear surface modes with modes caused by the driver create the possibility, as the driving amplitude is increased, of limit cycle saddle-node bifurcations beyond which the dynamics of the system becomes chaotic. In this chaotic state, part of the applied energy can propagate through the chain. We also find that the chaotic branch depends weakly on the driving frequency, and speculate a connection between the chaotic dynamics with the gap openings between the spheres. Finally, we observe hysteretic dynamics and an interval of multi-stability involving stable periodic solutions and chaotic ones. © Copyright EPLA, 2013.en_US
dc.format.extent1 - 7en_US
dc.language.isoen_USen_US
dc.relation.ispartofEPLen_US
dc.rightsAuthor's manuscripten_US
dc.titleHysteresis loops and multi-stability: From periodic orbits to chaotic dynamics (and back) in diatomic granular crystalsen_US
dc.typeJournal Articleen_US
dc.identifier.doidoi:10.1209/0295-5075/101/44003-
dc.identifier.eissn1286-4854-
pu.type.symplectichttp://www.symplectic.co.uk/publications/atom-terms/1.0/journal-articleen_US

Files in This Item:
File Description SizeFormat